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Bộ nút số ba băng atlas full

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Bộ nút số ba băng atlas full

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  1. 1. _v-`..ơu` * 4^`Ỉl. i~ u' e ‹.ę,....a ỉn ưμ.. ., ...ę. ,.W,WM bv.
  2. 2. A ỉíõíllíavó ííltíaớzø ẵỹétemã 8( Ĩecñníqueø Wđlằer Hurrís °`írbe Éíìlíarò íĨIt[a5°` Ế O. Box 32'.-í26 Cocoa Beach. Fìorìda 22E32›ĩ~l2:ĩ
  3. 3. Copyright ..... .. 199.6 ồy Walt I-larrís Pirẫnted Ỉn the Unẵấed States Alẵ rẵghĩs reserved. No part Of'thÍs publícatíon may be Copied, stored in a retríeval System, or transmitted, ỉn any form Or any. means, recOrdỄng, eẵectronic photocopyẽng, mechanical Or Gtherwỉse, Without the prior Written perĩníắsíon Of the author. . This Sets forth U. S. Copyrẵght relations with Other Índependant natĩons Of the WOFĨỎ ....... ..ArgentĨna, Austỉĩa. Belgium, Bolivia, Brazỉẫ, Czechoslovakia, Chile, China, Coỉumaỉa, Costa Ríca, Croatía, Denmark, Ecuador, EI Saívador, France, Gennany, Greece, Guatemala, Holland, Honduras, Hungary, Italy, Japan, Nicaragua, Peru, Portugaẫ, Philỉppìnes, Poland, Spain, Soviet Union, Thaíland, Turkey, Venezuela, Xfữẹtnam, and Yugoslavia. . - Pubỉíshed May 1996.
  4. 4. Preface ỉ . Afsmỏl Of Nesẩĩ Wcôìẳohs FOYỞ The Three Cushỉon Bỉììíarb Plòuer Ỉ Ức Nine Ĩ3ç.ì!`-Plậ1fCr.Ca›†1r Nmv Learn * Mọre About †her Game Ị Bĩììíarb Ỹunồamentaìs -
  5. 5. `Ĩ"r.'“Ệlỉ.'‹:ĩ, :` ' Table Of Crontents Preface, ỉnữoduction, Etc ......................................... .., ........... to ịqj Chapter One, ............................. .. The Long Angẫe ......................... .. ` 1 ChapÍerĨWO ..... .Ì ........................ .. Across the Table.........,..........,,..... 31 ,'-ỨÐíuv.ỀjẶa^`μŕ*aa_ , Chapterĩhree ........................... .. Some Gems ............................... .. 59 - Ă~Qỵ,ỵ 'Ĩâoŕỉu Á /, Chapter Four ............................. .. End Rail 71 Chapter Five ................ ........... .. How To ....................................... ,. 97 Chapter Six ......................... ..... .. The Short Game ........................ .. 117 Chapter Severì....: ...................... .. Fundamentats ........................... .. 135 Chapter Eight ............................ .. The Menầaỉ Side 149 ChaprerTen ........... .............. .. ỈñẢÍSCeẵẫaneOuS ........................... .. 169 :` »'^ĩ' , _; nv r““ĩr““'Ir”"1r'*'r"'If'°'1f*"!""l!
  6. 6. Searchỉng for vaỉuabẵe materăal Seemed endless, thanks 'to dęarest Johanna for her enthusiasm and encouragemenắ. My Ìẵìanks to Joe Ventrelỉỉ for his many hours 0n.,the bìliỉard table makìng Sure`Ỉhese systems and teçhniques were accurate.
  7. 7. introduction Aịẫtremendous_ evolution of,t_iĩe game has taken place in Europe and parts of Asia ...... ..no one“is surprised If a player reaches a game average of 2.”00.....only averages of 3.00 'are remarkable. H Players from the Western Hemísphere ( probably in most parts of the globe) are still playing the same averages of 40 years ago.....whiCh is betxỡleen .T00 and .900, and a i.0ẳaverage,_iS rare. . ,.».rĩs:“ạvỵ.sr*-” _ One of the_ main reasons is Klagk of _knowiedge of tiie diamond systems ....... ..the Calcuiation of the shots With help from the diamond mama on the fails ..... ..piayers have much ambition in other phases of the game, but are not interested in the rnarits on the rails. Enrique Navanaf won the world title in ”1954 and 1958, with averages of .937 and .926...Ĩn 1970, Raymond Ceulemans won it with a 1.267 average ....... ..so you oan see that tlie suatosphenc averages of today,. are of recent/ỵiniage. , .. ; ' - ' _ ,' .. 'ỂẤỤ ,7°ÚỐIIl.`g7Jí' ` ›ậg, ,B .ẵ..l2‹`Ỉ:3~T' 5 .gsøμyuịc l_.c"i ần my travels, i've found tiĩai/most biiiiard players don't know how to improve their game, piaWng by feel ...... ..rarely anyone around to help them ......... ..the experienced room players, were unable to Supply the answers, as tlĩey,Ìo0 were. basically mired at their level of play, mostly playing by metệẵãt of theìr,paçus. J i WẨL,ịỹV n ..il ơi - lt is impossible to be,a top player wittìout_ tiìe knowledge of systems and tectlniques..-,...Unless.....a player has an lQ of 160 and plays ` bẵliiards 6 hours a day for many years ..... ..or -a player who_“devoteS many years to the balkiine game, has much taient, takes lessons from a great teacher. and continues instruction in the 3-Cushion game for anotherlbunch of years. ` ada Ỉ'ẫ_^'ĩ“aĨ”,Ệ~_°,“z.-”“eZf _ Aẵtalented 'person devoting his work iìrfe to biliiardS,“may be able to reach a 1.0 level of play, but for the rest oi the bitiiard world Using "feei" only, may get them to be a_,deẸe_pÍ room piayer. _Juu- Vlii
  8. 8. lf you Want to verify this, just ask good experienced players what they know about the "p1uS" shot ....... ..or how accurate they are on bank shots ..... ..or how they adjust to Cornei` hit angles ....... ..a player needs information to execute these shots, otherwise he's lost. lrlany players, who do not use systems, subconsciously think a master System may exist that Soives all problems ..... ..this is not so. There is no master '°diamond system" that Calculates all the running lines ....... ..for example, how could there be a master plan when a deadball shot is attempted ....... ..or a double the rail ...... ..or a reverse the raẵl.”.....`..or a (spiụpshot ....... ..Or very short angles ..... ..etC. etç. Ểẳịaüậc ` “ V `ơ The goal of these "Atias'“ books is to _provide the player with the required knowehow to handle any`shot. Learning how to Calculate running lines Can begin quickly. Memorizing the many running lines will probably take a while. ° When a Student embraces only one System or technique, he will know more about that shot .when it arises, and his -entlre` game will be 1% better ..... ..instead oi a 5.6 player, he will be a 5.7 piayer,....ge“tting to be a better player is “fun ...... .ĩbut Ít takes time and study. These ."Biliiard Atlas" books contain a Variety of ball systems, which are different from each Other ......... ..most non-System players do` not realize that this kind of information exists, in fact, many players do notø hil dead ball shots l .... ..when these Systems are absorbed, the player will have a "set" to choose from ...... ..a great Ếịgề Ỉn determining how to play a shot. ..... ..and- shave off many yeabrs in being able to be a better player. _Q . , .› `› The great Raymond Ceulemans- is mainly responsible for todayls high level of billẫards play, and a major Champion of system`use... .... ., top level play requires knowing the running lines and being able to execute the shot. ` Ắlư, 3. I .U r..r
  9. 9. Forewo rd Ý 9° :1I;lẩLL Wrễtìŕìg ~abOUt bìllỉard Sysầems anũĩ Íechniqưes ễs not easy ...... ..as a repoỉĩer, I_ have to understand the 'ỉechnicaẫ compũnents that are beễng written about and men Wíĩte the manual for an audience who may not understand Erjgiísh Very weẵi. ' My task is to Communẵcate as eĩĩecẫễveẫy and as SĨmpẫy“as possibẫe, and many tễmes Ễhẵs ễs dÍỂĨCuẵÍ......ĨOf example, when the subject Of strũke Ễs discussed, my descríptíons do not do justẫce to this Subject ...... ..many Chaptets Could be written here_........the "Billiard Atlas 3" Covers onằy Some highlễghts. Book 3, had me Searching the gễobe for books and períodicals, mostỉy Ỉn Other ẫanguages ..... ..this Én tum, ìnvotvecĩ the problem of Íĩnding a bẵllỉard pẵayeĩ that would Offer his SGFYÍCBS as a transtatoĩ. Systems players, worid wide, volunteered their Services ih sịubmìttỉng materiaĩ ĨOĨ these "Atẵas" bOOkS....thankS to them, and me translaĩors, we have a new batch to use. - ln addẵĩìỏn to the s°*`OVe, ăinforínatẵon from thé top piayers was an impottant_ part ..... ..fầuae again, my thanks for their input. Passing Ímporĩanẵ ễnfoĩmatìon to the bììẫìard worẫd is def!nạ'ĨeĨy a labor Of lOve .... ..ít ÍS a great prỉvílege to wriĩe On the Subject of bíllíards.
  10. 10. Chapter One / The Long lAllẩ0ễ]_Ịịẹ__. This chapẫerwỉll take yoù on en unusual Ễearnìng trĨp.....Ĩn rny 45 years Of playing bìllíards, this kind of long angle information has not been available. Very few players knew the exact runnễng lines of a ẫong angle shot. This Chapter will Ỉntroduce four new syStemS“Called the “TWO Thirơs", "Florida Back Up", A"SỈd'S COusÍn", and the Ĩ'T.rỈangu/ate” SyStemS..... tnẵs will have you Shooting types Of Shơts you never dreamed had a calculation. ` "System South” helps to become more accurate when thỈs~ bìlẵẵard presents itself ......... ..during the past years, Usìng "feel Only" for this shot, díd not increase bíllẽard productìon . μ ' “ The "Lucky Five" system wỉỉl. give you a Chance to make a certain low percentage Shot. when altematíves are dìm. When you embrace the inf0rm“atÌon Ỉn thìs Chapter, your game will look different .... ..you Will be making billỉards the average player does not attempt.
  11. 11. System South ŕỊưzu`ni›^ę This System belongs to an entẵlịè_ family of Shots......as of this Writing, infomation making this shot easier, was not avaiiable .......... ..a good player once started to descibe thễs method, but did not eiabggage, as ` he had Second thoughts about passing on good information. 11-”n..^',1rzau ' Word has it that this method originated from Peru, author unknown..... but thanks to Stephen Cook we now have it. ' -V `* ' À /A99: Drawing 1 has the Ctíe ball origin from the 3rd diamOnd...~..Ìhis will be Called the Zero line .... .. employing Cue bail e_n_gìl_sh as noted. " _ nun--., ye, dt-› ;`.'ẳ -.Í '-`l›- - o c. .?- Tc, Ế _ỗic Ê- I ' _,g-pau. D,rawing 2 has the same Cue ball origin, but three new object ball locations are shown ..... ..the numbers on the short rail in_‹ỉ_i_catẹ-the Cue ball english. eẫứă, dm b`ử.8ręu il": Drawing 3 -now moves tlĩe Cue ball origin ..... ..the zero line uses cụa bail english as shown on page 3 ...... ..the long rail 'numbers indicate Cue ball english when the Cue ball is away from the zero line. ` Nrtxngầęầtặkhíevủrm Drawing 4 shows an example where a Va_r_ầạ_Ịion takes place, tlĩe Cue 'balễ is going from end raãl to end rall ..... ..my guess is minus one Cue ball english. _ /_,Ịt`ĩ'Ị..-.'_”-.a_ŕa Simple numbers to remember....yes ?. 'I Ì v=íìv`-'ŕsg' *Í. .........ụ..u..... 5» x
  12. 12. .ỆIIIIIIIIIIIIIIIIIIIIIIIIIIIII!!IUIIIIIÌIIIIIIIIIIIIII II IÌIIIIIII I III II II I xo 0 .I 4..... 1 . ,W 2 hư. ø...m........ m ø.nI... . 3 .^ .. . . W. 5. Ir . . n IIIIIIIIIIIIIIIIIIIỊIIIIIIIIIIIIIIIIIIIỊIIIII UIIIIIUƠỰIIIIIIIIIIIIIIIIIIIÙIIIOIV ...AY . . v II . my . . duel . . 0 n ,II H . v
  13. 13. .ợ.ợnI. 2 Drawing u unY mioIIIIIIỊIIIIIIIIIuưIIlil:IllịnlllịllullIlllnllillnIIIIIIỤIlnllnlilưlllịlilliiilv I . . 2 IIIÌIIIIIIIIIIIIII IIIIÚIIIIÌIIIIIIIIÌI O I LIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIllIỰIlIunÚ.IIlIIIlIIIIII!IƯIIIIIIIIIIIIỤIIIIIỀ Ơ L 0 vã IE' . .fnzrr . 4.0 ...u. ` ÚÍÚỪÍỈÌIỰIIIỈIÌIIIIÍIIIIIỈIIỈÍIÌ
  14. 14. Drawing 3 cnv f Ộ Y I II!! .HE I I . II I I Ir Ì u I . I I u IIlllđillíñlllilũlỉlIÌIIIUIIIIũIIIIIIIIIIIìlIIIlIIFø IElỊIu.ưuy
  15. 15. .ỘỆ IIIIIIIIIIIIIIIIIIIIIIIIIIII IIIIIIIII!IIIIIIIIIIIIDIIIIIIIIIIIIIIIKIIIIIIIIII lọ , . Í . I ..Ồn BIIIIIIIIIIIIIIIIIII.IIIIIIIIIIIIIƯIIIIIIIIIIIL UIIlIItllilllllillIIIIIIIIIIIIIIII ...Ồn I . I . / / I 4.G,.n Drawing 4 nb
  16. 16. For ỈOngAangỈe Shots with running english, strike Ỉ ` the Cue ba!! with a moderateøtousoft speed. I With this speed, the Cue ball Curve and đeflectíon basícally Cancel each other out.
  17. 17. 9. -`ĩ7ótặ r ễvsŕãíị. ` Tvơiưro-Thircls System Sometimes a player needs to know a path that is outside of "normal running english" paths ........ ..this dead ball system tits very weli. èẩnồ VM Drawing õtindicates the Cue ball Origin numbers on the lòng Fail ....... notice that these numbers tum the Corner onto the Short rail. lvỉẵì~'rẫ›` i›øu`rxclę`ỂI The return paths are about 66°/o Of the Cue bail Origin n_umber. S These numberst are to' be slightlyμáltered when testing the table, especially on new i”8Íl'ClOÍỄ“'l. r°`í'Í`ầl`Ỉ' lị‹“ổ ữì` Drawing 5 Shows an eặample where the Cue bail origin is diamond 8, and the return ls 66% of diamond 8, or 5.3. Ạ l Drawing 6 indicates now this system ís applied to a nonnal biiiiard situation. Notice that vthis system Stops at a Cue ball origin Ọf 12 ..... .-if you wish ừ to use nurnbers on the shon rail, that are larger than 12, use the principles shown in '“Ĩ`he Billiard Atias ll" using the "New Yo!'l‹ Bob System" ..... ..also refer to tlĩe "FỈor`Ỉda“BaCkwup”.elsewhere in this book. Please note that seven raiẵ Speed is availabie.....juSt †Ĩnd the longest angle available for the sixth rall hit Spot, on the first raii. _` With these kinds Of guide lines, making billiards becomes easiểr,.and stuff like this adds to a players arsenal of knowledge.
  18. 18. Drawing 5d IIDIIIIIIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIÌIIIIIÌIIII I I I . I v I I v u Ự 6 I . c . It I v //lili Io. x2, 9 ụl 11 1.. .mư 1! Wf Ịollo.a.Wì.t9 , 6 91uμF0Ơ .- . 5 nçu. Í .. 5 . .. . Qu. . us . v C 9 . . fo H .
  19. 19. 6 Drawing. IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII IIIIIIIIIlIIII!IIIIIIIÌƯIIIIIIIIIIIIIIIIIIII I II IIÌÍÙIỪIIIIIIIÍIÚỈIIIIIIIIƯÍÌZẢ JAY Ỉn ỈỔ 2 III Ồ.. ụ ..I . i iñ .xs qu1 u..qnN.r,a.w I III , Ạ 0vr...a.. o ỄIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỊIIIIIIIIIIIHIIIIIIIIIIIIIIIII5 .. . o i ab 0 4 . 5 6 nhu. 7 Ảư: Bí . .a paụs.. nụ . O 0.x.. Px! M. vn Jr owe à ø. ns. .r .u IWPM. Po r n›.L I nμb Ế 10'
  20. 20. The two most important items Ảín making a billiard are, pelfect ' speed and hỉttíng the Cue baif exactly as you pianned. '
  21. 21. S lLuCky Five ”' høạ . Knowing this rễmễẵẫod will get you out Ofi some difiicult situatipns ...... .. it's just en easy dead bail system, Called lucky five.....note that the Cue ball origin is from the end rail.. g .- nỈẵurñ.t'ýĨ:.,ễNdýoỊ-nărvẵl» ã'Ỉn RỂ, Ữẩĩ -- When the Cue bail is airp_ẹ_g__ạt zero, On the adjgtịẹnt long rail, just add five to the 3rd rail Cue bẵẫi ọrigin point, to ñnd the 3rd rail hit point. Drawings 7, 8 and 9 revęịiizue ball Origins of 5, 10 and 15.....when the Cue ball is aimed at Zero, it retums to the 3rd rail at 10, 15 and 20. When the Cue ball origin point is at 10, and you want to nit 19 on the 3rd rail, then allowances are needed..Ệ'. the diamond numbers on the adjaCe_nt long rail“enter into tlte calcularions ....... ..drawing 10 has the Cue ball origin at 5', which has an allowance fa__c_t_or of 2 times. _ àì v.i.En ị-ỉ' vhi if you want toi hit 12, ậrỉơịtgad of 10, the 2 times allowanoe is used, and it wOrl‹s like this.....the Cue bail when aimed at zero, wou_ld retumgto 10 on the 3rd rail ..... ..if you want 12, which is 2 more than the 10, ịust ‹l~=0l›`ŕĩ rnL_Jl_t_ị_I;ly 2 times 1 and add this to io ......... ..the new long rail aim point ist. lf you want 14 on the 3rd rail, which is 4 more than tlĩe 10, just°rnultiply 2 times 2, and add this to 10..._..the new aim point on the long rail is diamond 2. Drawing_ it has tlĩe Cue ball origin at 10.....this has an allowance factor of 4 times ......... ..if - you wish to hit 19 on the 3rd rall.....which is 4` more than the riorrnai return of 15, just rnultiply `4 times 1, when added toi 15, makes 19.....airn at diamond numberi on the long rail. Drawing 12 has the Cue ball origin at 2....ttils has no allowance factor, and when aimed at Zero, retums to 7 ( add 5 ).....if you want to arĩive at 9, aim at 2 on the long raii....2 plus 7 equals 9. Note: Use the same angle from 2nd to Srdẹrall for the angle of the 3rd rail to 4th rail destination. nèỊ` a` áaá 12
  22. 22. 4.! nợ... 0 . .OenlIIIIIIIIIIIIIÚIIIIIIIIỊIIIIIIIIIIIIIIIIIIIIIIIII I IIIJIIIIIIIIIIIIIIIIIUIIIII I Ó. Ồ A.M. . . v . ẹ n .. AA ssssssss nv . . . ..D cuu llll lỉv ill Q lllll .l.! 5 . I Ỉ Ô I , n ..v... u. I tttttt I. 0 .,m. 7 . u ơll.v.v I 9 m mo.. 0.5 Qçỉ lllllll ìí ỈƠ A n .A ^., It ' I . W o n. no. a .. .... r On lí . D I . I 1 I ơ uọ . Ê lọ n ...n I I Ỉù I lo Ư .. .m . . . . . . . . u .. o BllllllllIIIIIIIIIIIIIIIIIIIIINIIRRIIIIIIIIIIIIIlllllỉỉilliỉlillulillliIIIIIBIII .. .... I..ư. . . .. nm. . ụ M t . W . . . /Ð .suu u I ln . . . M c . , @Ẩn QIA. .Ã I.. .Mư .f.Ả 00 . ụ ự ...r.ựr. .Ỉ nu: .!..1Jlr:w.lllc. p.W.nor .fm u .cợ .u v 1 ..ø.m.
  23. 23. ° › no vợtẵøu nu . . . . Ả ø i : IlIIIIIÍIIIIII!III!!III!IIII!IIIỦIIIII!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIQ Ỏ.m nic. nu I u u u u Á .a u S .. aaaa si xc u oo m - Q --mi m I llllllllllll il u 9 ưzμtcul. -qẽwtwĩ ..m mạ W . ụp u vl ø..., mio D ... . m m u u u › I‹ ự I m u O ỀLIIIÍIIIIIÍỈIIÌÍIIIỦIÌIÍIIIIIŨIIIIIIÌIIIÚÍÌÌIIÌ.IIÍIIIIÌÍIIIIÍIIIIIÌIÌÍIIIIÌIÌÍỈII¶ , Ĩ4
  24. 24. 15 .ợpưo u Ấ A . .. óo WIIIIIIIIIIIUIỰIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIIIII III IIIIIIUIIIIIIIIIIIIIIY . m , . . H Ilrllllli IIIIIII II 5 I Il u 9. . n W m I IIIIIII s. 4.. g I 5 I I I I I ll n u p c Oll Ệ Illrn 0 . u n27 Draw I . I . D. O QLIIIIIIIIIIIIIIIIIÌIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIV Ắ.›` . μưnạaươòơ e,
  25. 25. Drawing 10 . Ải, . A IÍIIIIIIIIIIIIIIIIIIIIIIIIIIIIÙIIIIIIIIIIIIIIIIÌIIIIRIIIIIIIIIIIIIIIIIIIIIIIIIIW løÍIIDv.t III IIIIIIII IIIIỊIIRIIUIIIII IỈIIIlIỉ¶III Ơ ÐIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIllIIIIIIIIIIIIIVMỊ Ị 0 IỈIIIIIIKIIIIỈIIƠSÌNIIIIIÌÌIÍIIIIIIIIIIIIÙ . 16
  26. 26. Drawing 11 ..ợø.,. 0 15 2 3 4 Ỏ Én IIIIIIIICI!!IIIIIII!IllIIIIIIIIIIIIIIIIIIIIỊIIIIIII IIIIIIIIIIIIIIIIIIỰIIIIIII I , nấu iv .lblftựlt [Ill Illợtllst Il ỄIIIIIW IIIIIIIIIIỈIÌIÌIÌI IIIIIIIIIIIIIIIIIIIII!!IIIIIIIIÙIIIIIIIIIIIIIIUIIIIIIIIIIIIIIIIIIIIIIIIIIIRIIII ĨIỒ. . . L 17
  27. 27. . .Ả.l Drawing S12 . AU 2 3. , Ớ . . . .Ảll.ưnnulll.Ưl.ưlnl)Hl.` IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÙIIIIIIIlIIIIIIIIIIIIIIIIIIIIIJIIIÙIIIIIIIIIIIB . .---Q .. ‹1l [Ù Ợ I I ..lttcrr 7 uìllluirl ẾIIII IÍÍỦI I!'IIIIIIIÌIIIIIỊSl@UoIIII IIIIIIII 4 IIIIIII!!!III!!IlIIII!IIIIllIIIII!IIIII!!lII.IIIKIIIlIIIIIIIlIIIIIIIIIIIIIIIIRIIIV C . 18
  28. 28. ` I .ẹ. . . . . i ‹,. ra , D . . , . ø. D . nu, M.. . . .`Ả I . Ị ., , u M . . . , › . . . . . .v .Ụ ,.. , ,r ..,.. ... .n... . . ơ X . i u . ự I ợ . ự Q «.‹ Ụ r . ø . .. . m . r . . . tna Q . ụ . .ụ .. . N . vn 1 ,, N. . Mpx i s . . . O D ự .w .. 6 .
  29. 29. Florida Back-up Try this Shot on your favorite Opponent and you are liable to get a Cue tappíng for being so accurate ....... ..this Comes ín handy when the Cue ° ball Caroms off an Object ball, and tide "running lines" are known. ' ` . V tỉ! hŕ - ọ Drawing 18 notes the typeiof bitllard adẩptm.....th1s d wing aisẹoủ maps out the numbers for the railS.....note the Odd rConiĨgura_t_i_‹2_°ri`IấfÒr numbers on rail "p".... these Cue balt origin numbers, when maịched v with the same numbers On the ñrst r”aÍl,` will hit Comer "X". Ẩn "li v Wik Drawing 14, introduces a iourtlĩ `rail hit spot, and the ailowance ự numbers required to make this billiard ........ ..they are the CỈrcĨểĨẵg!Ĩệ~ numbers .... ..we have the Cue ball going from the short rail (origin) to the long rail, to the short rail (ỗrd rail) to the 4th rail hit point. ` The Cue ball origin is "10" (with a Circled number Of 4), and you want to arnve at diamond 2 on the fourth rail ..... ..rnultipy 4 (ciịễlrẵỗẵumber), by the fourth rail hit point (2), or 4 X 2 = 8 ...... ..this number now aitẾLs theầ path of 10 (Cue bail origin) to 10 (first rail hit point), by 8 ..... ..so the new ñrst rail hit spot is 2. r Drawing 15 has the 4th rail hit spot at 4, Cue ball origin of 20, has a circled number of 3 ........ ..20 (rail P Origin)-to 20 (rail N), gets me to corner but l want the 4th diamond on the ñnal 4th rail .... ..multipiy 3 (circled number)~by 4 (ttth rail) = 12 ......... ..this alters tlìe 20 (rail P) to 20 (first rail) line by 12, SO the new ñrst rail hit spot is 8. ` Drawing 16 haS`the 4th raii hit spot at 8, Cue ball origin of 40, has a circled number of 1 ...... ..4O (rail P origin ) to 40 (rail N) gets me to Comer "X"...-.but l want diamond 8 on tlìe iourth raiI...ạ...muitipiy 8 (4th rail) by l (circ:led)~= 8 ...... ..alter ttìe 40 to 40 line by 8 .... ..or aim at 32. i Capische ?.
  30. 30. Iluưưnmmưnựluumugnmmựlnm HưHIMMIIINưuRHNưmmμuuưe8mnüuịwugmưlaμuũuzummamaư emm ` 1.0.1 ì r Q., . N ..D .Ơw .` n›..μ 1 .,I.,., l ` r
  31. 31. ?Ệ pu I “7” :Ị ml. . , Ỏ. Ă.H.H.H. . 7: 6 :Ồn ing 14 ộ Draw *IIIIUIIIIIIIIIIIIIĨÁ 8 2 .ll .. II &cạm 0 O 8 I 5 I 4. II!!!IHI!ỦIIIIHIIIIIÙIIIIIIIIIIIIIIIIIIIIIIIIIIƠIIIIIUIIIIIIÍIIIIIHIIII KIIIIIIB 3 'al . I AIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỊIIIIIIIIIIBIIIIIlựlulllllllllullliủlliiullllũ10. 1 f.. .J mua. M NW I I I .+ oé ne âu
  32. 32. am .nm r. m 23 Ợ..v ..Mơ rai! 'N` M . 0 3 U Ệ IIÌIIJIÌIIIỈHI IIIII IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÙIIIII II III mv.. . .. . . .nun .. ọ B trrl . Xx .-... .. Alu. Ì m ..I/ A.m.. 5 o Ẹ m 0 ,..μ. ~:mV 1 Ì ư 4 .μ.A. ỉ x ă.:. _ - 0 A. M .MW mụ m 3 .. M . . vn. .. . III Ơ 1 O a NỈ .W m . .2.: m m .nm r..ø D m M W .m.^., . W o.ự.μ .Ò m u ›Mm- c en ụ ..v/ u uxb.xm. J S M IIlIII!IIIÌIIIIIIIIIIIIIIIINHIIỂIIIIIIIIIIIIIIIIIIIIIIIIIIIIÌ lọ . . .. 8 7 .6. , 5 4 .3 2 . iln . 0 ọ+n..W A Nu e ^.. . Auuvrv S cnøụøợøuøụnuøu. uon.-cợ-una x
  33. 33. `l u -s,.n'I Ỉ.Ảu;ẳt Lŕ! k'ụaw .òựi 9,p,`,, Drawing 16 32 raă'N' 0 0 . O 1 2 3 4 , sợ IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỢIIIIIIIHUIIIIInlllilIIIIIIIỊIIIIIIIIIIIIIIIIIIIIWIO. . lol III l4fIư.t ...IIII I IIAII 0 0 I I I [III Ill I Y 1 Ộ Ỗ I Í .lfrỉll IIÍI Ì.:l Q 5 1' 1 IIIIÍIIIÌIIIIIIỈIIIÌỈIÌI8 IIIIIIIÍIIIIIIIÌÌIÍÚÍÚŨÍÌÌIÌII l.IÌ.O . Iu.l.lI.. caíì II . L›`l'V-' mọ ỆIIIIIIIIIIIIIIIIIIIII!IIIIIIIIIIIIIIIIIIÙIIIIII!IIIỰIIIIƠIIIIIIlllllllililnllỉllầ AO. . 8 . 7 6 5 4. 3 2 1 O. .+
  34. 34. Usejust enough bridge length to drive the Cue ball to its destination The longer the bridge, the more chance for error Ư Use a fínn bridge' ' 25
  35. 35. oa ø. Síd's Cousỉn Ịŕậu†ỷ`ễì'7,ĂâÐẮM, Ệ/ Ìf the Cue ball ongẵn was from trìe Ĩọ_gl_ęr sẵn raÍỄ,1then the "SỈdÍ' .- system, as shown ín the Bíỉlíard Atlas 1, Should be the Selected shOt._ Drawíng 17 has the Cue bail Orẵgín from tĩìe long raỈl......tẵ'le seẵected shot ỄS a good One, but who knows tìĩe angte ? ....... ..Ỉnanguiate and save the moment. Ô I i ự l çỵầfc WITH' ' . By viewing ữthe shọỉ, the 2nd ralí hit spot ls,eStItr__l_Eậ_Íed at posnt X ........ draw a líne from point X, to the fìrst raíl edge point ( point B ). f.f,IJ»u,r-,`6‹I [ij Another line ỈS drawn from the center Of the Cue -baẵl to the first rail edge point( pOíntA ). Another IỈne Ís now drawn betvveen point X and poínt A ....... ..then a line ễs drawn between point B and me center of the Cue balI.....ñnd where these ìỉnes ẵnte_rs_e_t_3t and you have almost Sgỵeợ the problemị Ệ ỉu; tễ vtítsnaa, lrì4`r›ơl›~eưỂxn›A ' ự Ỉ3"`“3*`_°Ĩ“3ề't AI I that remaíns ĨS te draw a Iíne from thẵs ỉntersectíng point ,to the ñrst raẫẫ ( point Y) ..... ..aim at the dẵamond man<Ỉng at pOỉnÌ`Y, not the rail edge. The`ẠshOt ìs hít sOft.....dead bali engẵẵsh .... ..ẵeveí Cue ...... ..full foễlow through Stroke. ` 26
  36. 36. Ô Ạ Ở Ka O Q D I O I C I / ỆIIDIIIIiưiibülllilIIIIIIIIIIIIIIIIIIIIIIIUIIIIIIIIIIIIIII I I III I I III III ì .O M u..oc...o..a.....o...ç........μ.............‹..........uu....oc..ạ................................. . . I oo u . I I I . u I I I I I I I u O Ự r I Ệ ụ I ụ I . :ut .lx.I n Q 1 I u I Ì ' / . n 9 Ì mà n . O I WHIHI!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII Drawing 17 ~ 27
  37. 37. mmmas-INV μøv- ›: . . X Bank Tỉckỉeỉ The shot Selections appear bịeak ăn drawing 18 ..... ..the Cue ball and One object ball are ẵrozen. to a rail .... ..the bank tíckíe seems to be the best prcjịgect, Ĩf you know_ tlĩe running lines ...... ..tríangulatíon Ĩs Seíectedlto map out this shot.. _ lTì`l."aỀ rs:_1'ỉì,,“l'lĨt`52ì$` By viewing the shot, and usễng dead ball english, point X Ìs selected as the 2nd rail hit point “ A ẫẵne dis drawn` -from point X to thelñrs-t` raíllủstruclt ( poínt.Ế another ẫỉne is drawn from ttĩe Cue balẫ Center to the same †Ĩrst rail ( poìntA ). Connect a Ễíneịbemeen poẫnt A and point X ..... ..connect another lĩne betNeen the Cue bali (rail Contact point) and point B .... ..mark a point On the` table where tlìese two lines íntersect.....from this poínt draw a line to the ñrst rail (point Y)...-pOỈnt Y is the diamond, not the fall edge. . Point Y ẫs the new aÍm`poínt........dead ball englìsh.- ..... ..level Cue ........ .. four rail Speed ....... ..fuìt follow through. - Once you decíde on using this. method. the time required to map ít out. Shouẫd be less then 15 seconds ..... ..less then. 10 seconds, once .you get famílỉar with this System. = “ ` 28
  38. 38. u ‹ I I .vo . IIIIIIIIIIIIÌIIIü!IIlIII1!IIIIIII!!IIIIIÚẪIIIIIIIIIIIIIIIIII IIIIIIIIIIIIII IIIIIIẺÙ .μ.gI:IlIỶvƠ Ệ «.IIIIIIIIIIIIIIIIIIIIIIIIIỰIIIIIIIIIIÌIIIIIIIÙIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỒ ..AY x Drawing 18 29
  39. 39. ỈỆỊV ũY..fỀl-V Chapter Twog Across The Table Probably theẻshot_ that separates the best from the rest, is the across the tabie'Shot......the top players are very'aCcurate. This chapter will provide enough infonnatẫon S0 you too, can execute these Shots with aplornb. The "Basic AcrosS"n1ethod will pinpoint the running ễines....on'ềtvviCe across the table Shots also. A” The- "Diva Back" is my” faẳ/orite ..... .. you hardly ever See this Shot i ` missed by the beSt.......Very forgiving. The †Spread 2.8" and the "Spread 1.4". are_rnandatory Ỉn a players arsenal...there are too many occasìons Where this shot Can be used. The "Max ACỉoss."...."TrỈangUIatíori" .....and "ỆqUaI Angle" systems. are important parts Of a top players repertoÍre..‹
  40. 40. Iơl1oIlợII$`ta$ựlvn,qI..tsrụi.vvlø‹ ' ìhun. ›.ơạợtu-;Iívrn‹'-l- « -Iv'‹ V v Easy Across This ñrst rate system deais with an across the tabie shot, that goes from a long raii, to a tong rail, to a Short rail .... ..and simply ernploysg another system. _ - ,J A The 2nd raii aim point is-often the missing link for Ềstaẵhshing the Complete path to the biliĩard ...... ..better yet, you are shown where the Side oi tlie Cue ball hits the nose of the 3rd rail. Estimate where the Cue bail hits the -nose .of the 1st Cushion (raii M).... ...... ..now imagine the Cue hali frozen to raii M at that point.......plaCe your Cue Stick through the rniddie of the imaginaiy Cue bail and ñnd the Cue bail origin diamond number (rail M).....now empẵoy the "Sid System" * to find the 2nd rail hit point. Have the Cue ball arrive at_ the 2nd rail with as little side english as possible ....... ..the Cue hail is hit one-half tip low and a minimum of side engiish.....rnedium speed ..... ..el_ęỊ_ạte Cue bgrịsiígịịỵ. _ . Aãzầen ` nẫę.,mỂñãmAAL~ Drawing 19'seiected the 3rd rail hit point (raii edge) at 2.0..:.....the Cue baii Origin is at diamond "D", whiich is 4 half_diamon`ds away from point "X", `eaCh half diamond has ay Value of 2.0...Ịrnultiply 4 by 2.0 = 8 ...... ..this is the 2nd rail aim point. ^ Drawing 20 selected the 3rd raii edge hit point at 3.0 ..... ..tiĩe Cue baiẵ origin from point D, is 4 half diamonds from point "X"....multiply 4 times 3.0 a 12 .... ..this is the 2nd raii aim point. Drawing 21 has the Cue balt going twice across the table......uSe a 3rd rail hít point of 5.5.......point D is tlìe Cue bail origin, and is 4 _haif diamorlds away from point. "X", and each half diamond has a Value of 5.5......So, 4 times 5.5 = 22;.Ệ....airn for 22 on the 2nd rail. f *vv CP-ìeteverle. dun “siiliacu AE:: r 32
  41. 41. D Drawing 19 0. .o 5 nu. μg O 5 o 5 . .ụ. 1. n..μ2 2 3 3 4 4 5 5 ^un.ư^xI 0 . . r S từ d .nm /At W 4.1& m /Bự ,anm mua . Ế /Có mxx r/Dự /E ,/F n i I 1 J 6. /G
  42. 42. Drawing .D20 Ả Ò I IIỬIIÌIÌIIIÌIIIIIIIIÌIÌIIIÍÌÌIIIIIIIIIIIIIIIIÍIIIÌỈẢ 5.5 lị.lị.Iị.Iin IIIỊIIIIQIlIIHI]IIMIỢIIEIIIIỊIIIIEIIIIPẠ ` I [IDI [I IIIIIIIIIIIIIIIIIÌIIĨIIIIIIIIIIIIÌIIIIIIẾIÌIIÍÍÌDẾ %lç / .. Ỗ» 4--0-n-ra-aia haif diamonds V vu ,_, ls...-ụ rl`< 'Ð 34
  43. 43. Drawing 21 . D AU. 5 0 4.1 2 2 3 40 4. 5 5 5 3 35 4IịIiμÌị.IÍn.I./ -. half oiarnon_ds . uũlullll .IIIIIIIII .IIIIợ.-IIIv. I Ip.III .. lilụì 0 .I I ,, tì OX u O ....a. r n .L.đe`..,eu 0. I l/ 1 m ,xr.«, /A uolu ik con 4 m m m /B Ế I . o u uc./. nu. u - ../C ồuị - :on r Ể n H 1 u so/ . n a /E ót ntòu . 10 . /F trĩ ln/ u . ,. /G H am eø a W , . I i Q
  44. 44. ' FỐ!Ua› Dỉve Back. This shot Wiii warm the Cookies Of a players heart ..... ..it's one that' satisñes, because it iooks much harder than it is ..... ..it also makes twice across the tables Shots much easierị- This teçhnique was obtạ_ir1_ęd during a lesson trom Richard Bítalís. *tea ` *fi *v'ể= Drawing 22 has the piayer selecting a tvlice across the table shot:..... this shot is .all "feei" .... .-the main technique inv is Sh _iris to drive the a Cue ball into the ñrst object bail and .go baciẵ `° ỂÍS o the 2nd rail, then have the Cue bail díve fonvard into the 3rd rail.....Cue ball english is high center, side english varies ..... ..hit this with authority, lots of auth_ọ_nty, because instead of a 3 raii shot, this can be a 5 rai! shot ẠỶì1LđĩtÙ Ơd'i'u. , -More billiards are made from this technique than you can imagine.
  45. 45. Drawing 22 Ồn rọ Ả IIIIIIIIIIIIIIỮIIIIIIƯIIIIIIIIIIIII!!! I I . . O I Ộ I Ỷ IIIỈIÍIIIIIIUIÌIIIIIIIIIIII I = I ề I r 1 3: I I 'I › / I I I Í / tuti foilow through ỏ
  46. 46. u‹.,qvuh Waỹete Spread 2.i8 Drawing 23 _has the Cue ball origin at point "A" .... ..the ñrst rail aim point ịs "B" ...... ..using a certain Stroke, and 4:3iO english, the Cue ball shouid reỉurn back to point "A". This Stroke- is similar to a pool Stroke when you want to stop the Cue bail at the point of impact, and the Cue bail is four diamonds away from an object bail ..... ..it's not a draw Shot, although low english is used ....... ..ÌỈIÍS has a spread of 2.8 diamonds (maybe 2.4 with new cẫoth) .....t.4 diarnonds forward, and 1.4 diamonds“ back ....... .,if you use a full follow through Stroke, the spread Wiii be greater. ` . m†etìầỂ`u;3ĩỂlẫ This technique has the çCge.bali "fioat" to tiìe tạị'get ...... ..this type Pùn Stroke has.. tiìe Cue balt re_a_‹;ĨI1ng the 2nd rail with iittle side english, and stiĩl ñăầịỉtặgiiẵầ an angle that is needed ...... ..once the piayer has the ` ieei for this shot, Ít is fairiy easy to remember. Drawing 24 indicates an across tlĩe table ShỌÍ.^ ..... ..the Cue hali is Caromed off tiie first object bail, sometimes backwards, then fonNard - -` to`.j.l_2ịLds point "X", on the 2nd rail......if the player uses a long foliow through Stroke, the Cue ball wii! have too much reverse english when it hits point and this english Wiii be ha_nỊĩ_fuliált)owards making the biiliard, due to its unpredictabie return. trơ ãíjiiic ie far-ị ”`ỶiỈm‹Y1Ẫ`vảfìr, ì.iX°ểs,r il.ìHâ.c lt ÍS desỉíạbie to have the Cue baii- hit the point °'X" ipvith littie Side engiish, so the lastobject ball becomes a larger target. y À _ ,hỉẵò †ỵ;^j, i _ `M ầẵtxgtkữb To accg_rT_LDiiSh this, empioy a "quick forwardơreverse" stroke.....r_a_ỉị_S_g3 the Cue butt a bit.....tiìe angle,irOr_n the tĩrst object balt to the short`raii is tiìe variabie..ị....this wíil r°ể,^ậ*ẵ_f`gĩgj_Ềii°th°ẽ^ Cue ball side engiish from hỗviñg its full e_fjr_e__çt, and you have a "Hoat ỉn" enect /iẦẫ`uqtẫ',"l”Ẫt<Ẩ4fI‹ă . Drễwing 24 is the exact exercise to practiCe.;.the player can become familiar with the Stroke, and the angle of returns. 38
  47. 47. Drawing 23 Q... ll IọIlIlì. llaull Ilưvlvvì .Ill ÌỆÌÌÌIIIIIIIIÍIIIIIIAỈ ÍIIIIÍ 10. WLIIIIIIIẸIIIIIIIUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIlI.lIlIIIlIIIIlIIIIIlI aür u ....aęư., ụ ẢIIIÌIIIIIIIIÌIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÙIIIIIIIIIIIIIIIIIIIIIÍII Y IAV. ÍẢ IIIIIIIIIIỈ sọ lo
  48. 48. Drawí.ng 24 Ó 1 .4 cãammds / / / Ỉ I I tỒnỄIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIlIIIIIUIIIKIIIIIIIIỊIIIIIIIIIIIIIIÙI O ểũ
  49. 49. ầ'‹'a` íẳịtv `o`ŕ`.ằ‹ =Ĩ When laggỉng for the brealc, toi a five inch- fO1IowøthrOughQstr0ke and Use a center ball with a half típ of high english 41
  50. 50. .tuỳehtllũằñíwẵẫb Spread 1.4 ềơtũst room players WỈỄỈ not try this Shot.....tbey dOn't Unqemnễẽìlắ Oầ. =ẫ“zỸF*ả`.`*`Ỳ“»*lẫc“ơỸề°=`ể› 'yy-nẤ.ø”`°<r PreVj_ọ_ụ__sỉy, Ễt Was detefT_ĩ1_Ễned that the spread going from Short raíí, to Short raẽẫ, was 2.8 dĩamonds (See page 38)...... when Using the "smaIl" table, and going from long raẫỉ, te [Ong rail, Ít ís 1.4 dễamonds. (maybe À 1.2 dẵamonds with new cloth). 7JĨ†"“" . ø Here, a quick-forward reverse Stroke ỈiS_,emp[oyed, because mỉnẵmum Cue. ball engtỉsh is needed at the 2nd faỉ! hít pOint....and the angle WỈIE do the wOr1‹. ' - Dĩawẵng 25 has the Cue bat] goíng frOm point "X" to point "*" and back IO point X.......the total Spread ÍS 1.4 dìamonds ..... ..going .7 dẫamonds fOPNaVfd, and .7 dỉamonds back. Drạwitầ 26 has the Cue beti ürorĩịn Lgịịẹ the ñrst object ball` "ba`‹:°I-`cwảL°lì_S", to point "A" .... ..the dầề`h_ẹ_ ìĩne shows an estimated backward angle path, from poỉnt "A" to poỉnt Of .7 dĩamọrĩd (maybe .6 diamond) Or a total spread Of 1.4 dỉamonds. How many times have you seen the Shot Shown On drawing 27, ..... ..maybe a 1000 tẵmes ?........now ttìat you naVe_ẩguíde line for the running lines, you can't heìp but Score more.ĨĨỂ.ẵẻịgẽt the object baif hít if the Cue ball ÍS off a bit ....... ..keep the Stroke and engìísh constant Ĩọ remember al! Of this ís- easy ....... -.you have 8 'totaẽ Spŕead of 1.4 ũlamonds ...... ..and you must ›take into account the angễe off tẵìe Object balt to the 1st rail. mhỉa âcaằ ę:J†asị - - SEE page 38 for Stroke and englỉsh Ễnforrnaẵíon. Ụ bĩlđÌíhM1í,Ị1ẹNBỀảắr4 ;;'s done .... ..this ỈS a variatíorì_ of a Shot that is Shown eẵSẽ`IŨtị_‹a_*je ln is book ..... ..except Ễt ỈS On the "smail table", instead Of the ẵull Size tabỉe. ỗ. Ễ Ể `ễ Ễ Ĩ I s s Ì Ă 1 ề : I E Ẩ Ì Ĩ Ể
  51. 51. .Drawing 25 43 Ả.H. lI.` -Fẵ-j- .7~.-ă!r- dăamond μ.... W sm mm em .mm .D mm.. mu .m.m ...m U q
  52. 52. Drawing 26 A.lI.II.lÍ.II O O IIIIỈIIIIIII!!III!IIIIIIIIÚIIIIIIIIIIIII O .....-..uuu-.ưư IIIIIÌIIIIIÍIIỈIỦ / I I I I quick forwarĩì v- reverse Stroke raise C118 butt síỉghtly IIIIIIIIIIIIIIIIIIIIIIIIIIIIÍÌIIIIIIIIIIIIIIIIIIIIỄ
  53. 53. t Drawing 27 45
  54. 54. Max Across Ì I Í Ì ' kẤtñ,¶ỊắầềẮ; “ Ệ The "alllỉerd Atlas ll" meF_ìỊÌ_tỊ1_ed these tracks, and drawing 28 show Ị that when usẵng maximum english, the Spread is 2 dỉamOnd_s ..... ..thí 'í V_a_ç_I1_ịswitl1 eqgigment ..... ..On yourtable Ít could be 1.8 Or1.9. ỹgữuữ àẵẫ hq . “ŕ . When the Cue ball Caroms Off the 2nd rail, much englísh remaẵns .... .. this ls needed for the across the table Shot . cĩvz tại. e;`ę;μ ĩęz. Q."~**sI Ếầ ơçẫc-I, ặc ồcìs va', L os; Estímate theựẵnd Ếaít hít poềnt and Call Ễt poínt X.....just pretend youçm_ Cue balỉ is fgầẽ the hit side Of,Ltịẹ ñr;st Object baE!.Ị....then rotate your Cue Over the Center Of tlìe í°ỄIĩ°ěgỄz`Ĩá[y°“` Cue ball, Until you ñnd the øfn. two diamond Spread across from point X.....thís ,is your first raẵl hit ' point. .”“”*'“ãíỂ`”°“ỡ*ỉh“v. .. .. Thís drawing has an l_că_~eal S‹ị_Ị_ìlp .... ..If the Cue imaginary line IS located 2.5 dìamonds away from point X....ỈỶagESt the tĩỉst rail hít point by .25 diamond, and ấp at .75 on the tĩrst dẵamond. nĩ~ẫs.`ĩu3 .Wm . - * L0ạ_g_ up the Cue ball with side english, and use a full follow tlìreugh Stroke .... ..Eeyel Cue......dOn't baby mis Shot ..... ..this has to be Stroked (J Smoothly. @Lgẵẵ ,ỷậặ When trying this Shot the tông Way Of the table, use a four dìamond ° spread.....and a full foẫlow though Stroke. v
  55. 55. Drawing ?Ả 47 .Ả.H.H.i.JH. .o.WIIIIIIIIIIIIIIỤIIIIIIỰII llllluninnịi n. ì Ạ 9 IIÙIIIIIỈÌÌÌIIIIIIIIIIIIỢIIÙIỈƯIÌI . _ 2 udlamonds t Ộ IlIIIlIIIlỈnIIlIII.IllIIIIIIlIIIIIIlIIIIIIỉL
  56. 56. Max's Kin This is related to the example Shown on_page 46, although this is no' an across the table Shot, it never'tỈìe iessịựs Well here. ` Ởẵĩẵấvẵf, kẵ“ie`ị,@:hơl'c`.ẵ'Ể'-fỸ`Ẩẫ'ì`i^'jF'Ĩ ' The prospects for a billiard in_ợ_e__ę lo'Ok`dismal ....... ..why not try the shot that is shown on drawing 29 ?. iẫs”izĨm Lkbaậuuh) j5{IÀ«ẵ'hñ‹:y`IỄự . ` The triaggie that goes from A ÍOhẽẦỈO.`C, is the path the Cue bali folẫows, when maximum engiiSh` is agghfied to the Cue ball.-.”... Xñfith a foiiow through Stroke ..... ..a 2 diamond Spread;;...thÍS is noted to show ` the Cue ball path when point :3 is aimed at ..... ..but this Wiii not make the biiliiard. » J - ' 1kaj+t;.“.4L:ẵcỉá` Estimated point X ẫs to be aimed at.....tiìiS estimated track shẵfts the tỉiangle, and now goes from points A to X to C .... ..this maíntains the hyo diamonds total Spread. V g1:ạ“.J^.Ĩ in “Ạ ` ệrŕụằt ` ' _ The Cue bali should sfíde into the biliiard with reverse english. Note: This Shot Can also be piayed with a "jabịor pop" Stroke, with low Center Cue ball engiísh ....... ..the Cue bail travels most of the way With dead bali english. *
  57. 57. Drawing 29 Ơ I . Ó O IÙ IIIIIIIIIIIIIllIIIIIỰIIIltùliilliilùlløụlì Ố IIIIVIDẤJÙ IIllIIIIIIIIIIIIIniluưllltlnuliiliilllựnlllnlcll øuø μμ
  58. 58. .una-muucnu.›.qcqμunuvnu..-.cuc-nụ..u-couuuợquicnụdựyq-ụçg, Triangulate Across AK tan' Ế Ì ầ i t'l i S Another way Of app_ipja_çhÍng this across tiĩe table shot, is to. Ũse E tĩiangulation System ..... ..an Old System that works great. çl.ụnyỈI,v‹LL;oL;/,t By VỀNẾRQ tide bat! setup in drawĩng 30, the 2nd raỉi hitị Spot Ỉs estimated at point X....drav a Ĩine from point X to point B (rail edge). Pretend the Cue balt is frozen to the first object balt (on the hit Side of the object balt ). A line is drawn from the Center of ti1e` inĩagínary frozen Cue bail to pointA (raii edge) .... ..then another Eine to point B. Anotlĩer Iỉne is drawn betxhleerì point X and point A .... ..ñnd where this line Ìntersects the imaginary Cue ball to point B line, and you have the answer. t"“~° M I *et W M Draw a Eine, from tiìẫs Ỉntersectẵon point, to point Y .... -.this Ìs the new *i“““a_i_rỊì poÍnt,for tlĩe Cue ball, after tt Caroms off the ñrst object bail.....the° diamond martdng at point Y, not tiìe rail edge. Shoot Soft, vỉittì dead bail engiĨsh....Ievel cue...full foitow through. I Knowỉng how to tnanguiẩtể,: is important ........ ..slow at first, but no problem after Some practice. 50 "t I
  59. 59. Drawing 30 Ơ vtIIIliliIIIIIIIlIIIIIIIJIIIIIIIIIIIIIIIII O ắxtz Ỉ Ikx m .m. //III/ tb .^xẨ.J. L. .Xu Ê/ /31 5?
  60. 60. Pairailel Aoross Ỹ“j`wnẫ)Ĩun›*"*ii`3=`°“"2*l`“°'*91Ĩ" ' / . ' mật . Drawing St has” the batis arranged exactly as the pre`.Lịguẵly shown drawing on page 50 (of triangulate across) ....... ..this is approached with a parallel method of dete_LrụÍDigg the first rail hit poínt. . . Ị" y , ` . Kí& 'jd N 4 , “ Estimate tlĩe 2nd rail hit point, and cali it point X .... ....draw a line from point X, to point 8. . V O eĂạ4n,ỶIỸ1ịIμẵ: Imagine the Cue ball location where lt comes in c<2_n_tact.witiì the ũrst obíect bail ..... ..a` iineis drawn from the center of the imaginary Cue ball location, to the d_ễ“g,Ĩ“rè*á““Ễnd raễl hit point X ...... ..ñnd the half way point on this line, and from this point draw a line to point B ..... ..name this line A- ' Draw-aulỉne from the Center `of the imaginary Cue bail location, .parallel to line A, and mark the first rail ...... ..thỉS. is your aim line. 52
  61. 61. Drawing 31 ÍÌIIIẢ uoc.. III! IIIIIIIIIIIII IIIIIIIIIIIIBIIIIII N 0 S3.
  62. 62. QỊlỊlu5lỊμmịmμm.u,qq.ę..,.z .. ..`..v.ưq-‹.q..‹iuIIlI0ÙIưUỊItIrwl"" I"""" s i f_ểμ`ẫ ,BW IỈIĨỲMC Ẹqual Angiedí- . ' j,.Ịg,`-fi" An across the table shot is the.seieCtÍon here .... ..drawing 32 re`rf_a_a_aiS howto map out this shot ...... ..and with ease. jỉzzj. cẽứrzüùw ” i ”““'vIớỉ`°*W`â . By viewing the shot, estimate the 2nd rail hit point ( point X) .... .Ệthen 'pretend the Cue ball is frozen to tiìe ñrst object bail (on the hit side of thẹễ`‹`5i3ject bail ). caf( .X .. ':.'aĩ. .ueĩịfễñ .Rotate your Cue over the imaginary Cue bail Center, until you ñnd the Correct angle ..... ..having tiĩe angie into the first rail, equal the angle going out of the tirst rail, and hitting pointx lt Seems that a petit from point A, to point B, is half way betimeen point A and point X ..... ..that is'-the new'aím point ..... ..shoot soft with dead ball englĨSh.....ievei cưe.....fuli follow through Stoke. often, this method is `quicl‹er than triangiulation, or paralieling.
  63. 63. Hans' W.IanimenmNưw.IWnmưnnnμụmmnmưmuamlnwmaμmn 1., ..Ị ..,
  64. 64. Wow'S Cousin . ñy g - e,.tẮ`^ uniắr E if you refer to page 100, please note the techgjque vrega___i_ng tre =et`* . . . ẵ.oỂ particular Shot ...... ..use the same methods for the Shot shown in tl ` drawing 33. M ` This is an excellent example of getting oặt of trouble, Using an acrost bi h . ` “` . , . ~ e Ữẵẵ es ot Bận I íểLỲtNỸ`ÐĨĨ7IùìỀøẩÐ Wŕửμe. Ele__l_e1_te the Cue bg_t_t ...... ..Cue ball english is Wnteặậgglow ..... ..a L Stroke (jab`o!ị._pop Stroke )ìÉg .use a full hand ggp..'.....gnp pressüỗể may Vag.ỶĩỂ..gnp is a_t_›_i_t forwarđ........fuil hit on first object ball.ĨỆĨhiĩ the rail and bail at the same time. ” sịta, ảŕẵ* if you think about .it, a fe`N Vanations in english can accommodate different ỆỆELƠS, such as: (Nã o- lũ =i“^Ĩ'Ầ^ễv °ì“^` A little left hand english Can have- the Cue ball come Off the-2nd rail' with a little running english. - ' . . -iẫlwứ . A higher Cue ball ihlt Could Create an _arc betsưeen the tst and 2nd rail, Which is good for a three rail across tlìe table sihot. ht ' ° ' A Corẵbậẵation of the above could produce yet another effect. ...puu...ư-Iv 56
  65. 65. Drawing ` 33 ỆIIIIIIIIIJIIIIIIIÌIIII IIIIIIIUÌIIIIIIIIIÚIIIIIIIIIIIIIIIIÌIIIIIIIIIIIIIIII III /ÍIIÍÍ IIIIIIIIIIÌIÌIIỈÌÌIIIÌÚII ÌIÌÌÌIIIII II Ì `BIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII!!!lilliIIIlllIỉliliìllllnliiìliiuừ Ồ m....ụ. .um ư..m,., 57
  66. 66. Cihapter Th ree SomegGemS .l”) .` .- . .ef 7* r". .u ulịluc/.ZỆ.9`ì-J`r c 0-ơ.*»`a .ẤÍ-J:`‹ov - Ê- ŕ . For those 'of you who are uncertain how the .great players have historically approached this game, the Clearest explanation is from the great Willie Hoppe who once described this best With, “' A pro plays mathematically by feel". .Ệ For a better insight to "feel" and "caiCulatÍons" see Chapter nine, and tune in on the mentai game. ` .The "Kírikaeshỉ System" Comes from Japan........a first-rate method to know the 3rd rail hit point.....and to better know how much to adjust theihit and Cue ball english. v Techniques usually take a back Seat to systems, but are equally ' irnportant.._.....one of the best examples of how a player can improve quickly, is shown here .... ..With a bit Of technique knowledge, a Common shot is tamed ...... ..See the 'ỂFrozen Ball" pages ..... ..if you ever question the irnportance of study, just spenc -a little time with this, and check out the results. -
  67. 67. Kỉrỉkaeshỉ System This rệẽẽằrụỵhgjòus method of making a bẵllĩard Comes to us frOm Japa: and is named "KÍrỈkaeshÍ", Which means, " tum abogt V ”":y**'Ỷ`ữ'l”“”'.Ĩ7 W°r ”°“ấ “ă VnThỉs was ddnated by my "ÌntemeÍ" frễend, Nakataní Tomoakí ........ .. thanks to his tranSI_atÌOn work, the biẫllard world has ẵnherĩted Some Ỉìrst-rate Ínfọnrầatíorậ. 4 The numbers are easy to remember and provides the player wíấh guẫde 1ĨneS`when híĩtìng the "inside Of the balI".....the angles range from a medium angle, to a Short angle. Drawing 34 has trìe Cue ball Origin at 50 .... ..and the Ĩĩrst Object ball located at 30 (ñrst raẫl hít point) ..... .. use three o'Clock çue ball englẫsh. Drawing 35 has the Cue ball orĩgỉrì 'at 45 .... ..and the †Ĩrst object ball located at 30 (ŕìrst raĩl hit point) .... ..Same`englísh. The method Ofucaẫculation, for all examples, is as follows: 111ẽ 'Cue ba!! 0ñgín.....m__Q1_gs ttĩe 1st rail hit p0ínt.....mỉnus 10...,.eq0aIs the .3rd rail hít point." Drawing Cue bail ọrígỉn . 1st rail hít point mínus 10 3rd rail hit point 34 “ 50 30 10 g 10 ạs , 45 30 « 10 ừ 5 Notice that rail "N" has UNO sets Of numbers .... ..the "Cue ball Origin" numbers, and the "third rail hũ Spot" nUmbers...”....Ob_s_grVe the ever present, '°mễnuS 1.0". 1ag;,1fx‹.u 60
  68. 68. Draw` ơ mμonạE3cucmonwm...u..mμ Bam Ý ..nm W W mn Ả ư..cN m>..bmm.m iis.uỈụ1. . ..Q 0 5 ing; 34 5 0 . 2 3 . ü . W Mu mụmn:.:: μ..ũmồ ..mp mau ỈIV W Ì IIIIIIIẾIIIIIIII IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII IIIIIII I IIII III! III! ƠI Ộ IIIIIIIIỈỈIIIIIIII9 Ỏ ? Ả Ồ 9 I Ấ Ỏ 1 Ả . Ồ x ẦIIIIIIIIlIII!III!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIEIIIIIIIIIIIỦIIIUIIIIIY l Ũ I Ì W m .muu mu. W Lili Ỏ ÙIIIIIIIIIIIÚIIIIIIÍIIIIIIÙIIÙIÌÌŨ L mμ0a.μ..un. ...nấm mm.. mun. wma. 61
  69. 69. .S ự . x z x ụ .Ả- X Ox Ơ ỄIỤIỤIIIIIIIUIIIIIIIIIIIIIIIIIIIIIIIIIIllIIIIIIIIIIIIIIIIIIiluiluỉiilillllluiùlln 3 none IIIIIIIIIII IIIIIIIÙIIIIIIlũilIIIIIIIII!!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIV x I X I . xs ,,,.r Q.` m m . u z ...muc u à I/ //I vơ Ệ øf .u x ÐỒ. Ill O S I C . . xxx N u Y ` Ầá Ỉ p . ưll lọ. xxx u r.. t . W Yx K m M m .,.. m .. D u . Ỏ u ự .. n m x tl n . lv II xx ü I / I I .ra . .vv ụulưầẵễs ễ.í2`t...x.....Ị:... . E,
  70. 70. !':3 Too mueh side english Ínflủences the bath of the ecưe ball', causing ỉt'to hit a fractỉon Of an Ỉnch away from the aim point. Ù Avơíơ extreme englỈsh.....try to keep 'lẫlírhỉn a Đ Cue tip and a halĩỉ of the Center of the Cue ball. q,, `q vx. 63
  71. 71. Føroặen Object Ball W,hen the ñrst Object baịịlwís frozen to a rail, it's difficult to have me Cue ball travel as you Ểèẵre..Ĩ..here are some guỈde1ỉnes.....the Cue ball must be driven Íntc>~ỈlĩỊễ.-Ơn1°`Er'$t Object ball with draw, aẫo the Cue ball has a ' ` mínỉmum of running english Off the flrst CushịọỊkL....be careful_ not Vto over draw ......... ..Speed Control ẵs Ĩmportant ...... ..try to omỉt Side english .... ..the meohanlcs of the Stroke are .Sirrì/pie. ộ;Ệ,ẵỵỆ`f,;,Ĩ,,;,, WWVW -ự ữqơ°tỈ”sIẫ-ỊVFỈỈỈ-7 Drawing 36 Ínqịgates theậame ba1lJl,_.arra°ằg‹=,=_r__ne`nt as drawing ẵzổbut notíce the two seỊỸỂ_ỉzrầ_ịỈ`ẵ3'^Ề:Jùe baẵl` dísẩẵcềs ...... ..dravlìng 36 rě'q°ỒlreS a full follow through Stroẫ‹e.........le5S drẽlŕv english ÍS used, and tlìe full follow Stroke will keep thís small amognt Of draw, untẵl the Cue ball has reacned the ñrst Object ball. ợắ Lrcảá ỉũế Drawing 37 has tlìe Cue ball farther trom the object ball, So more Cue ball "SkỈd" ĨS requíred.... deepeựẫỵ. `S ựsẫd to rễẫm "SkỈd" on tlĩe Cue ball, and the jab Stroke wẵỉl sOften”t ể°Ồraw....ỮỉS Will "Control" the Cue ball english ..... ..the resultlng angles, _using each Of these hits, are Sho (1 on_tgoÍh draWíngS.....theSe angles will be descnbed in terrrỉs of a tnarĨgĨềỂỈĨ short rail dỉamonds and ĩong raễl dlamonds, beễng legs Of the tnangíe. “ - Both drawễngs eầẵẫậy a 1/4 Object ball hít, 4 rail Cue ball speed and the resultlng angles are, 3 Short' rail díamonds, to 4 long rail dĨamOndS.....Ềf the Cue“ball Speed is ỉrĨỂzrềẵẵed ÌO 6 rail speed, tlĩe ,Ệụ resuìtìng angle is lOnger....pr0bably 3 short rail dìamonds, to 5 long rail , díamonds for the trĨangle...“.to0 much draw wíll make ít longer yet .... ..the object is to control ttìe shot. ' When the eue ball is near the ñrst object ball, an optional approach is taken .... ..see drawing 38 .... ..agaẵn tlìe "quÍCk" Stroke is used, and a 1/8 object ball hít ( Or less ) is ręquẵred, along wíth 4 rail gspeed. 64
  72. 72. MUCOỀMMU . iiliiiillịxęa I 1o.Ế IIIÍIIIIIIIIÌÌIIIIIÌÚIIIIÌIIIII IIIIÍIÌIIIIIIIÍIIŨIÚÌÌIÌIÌIIIIIIIIIIIÍ Y I "4 m Ùur ` Ậ Ỉ lọ S , n . .Ó ủ x 3 m Ý I Ệ m I W -Q . uu 1 ắ ».--ơ - μm xx ự I H ụ I ,MN Ệ u u u s M Ậ . , I , I n . .. i m io:Ỷ!IIIÌIIÌIIÌIÌIIIIÌIIIIÌÌIIIIIIIIIIÍIỂIIIÍ!ÍÌIIIIÍIỰIIIÌÌÚIIIIIIIIIIÍÌIÚÌÌIIÌIÌIIV V .. . V IỒ. ...Ơ IỒ. lo lọ IỒ sc. Ỏ Drawing 36 65
  73. 73. nỊ ụmẠ, S b n muccẽm le 'i””“"””"'”cĩi”ả'rrỸonas Drawing 37 ỦIIIIIIIIIÍI IIIIIỉ.IIII.IIlIÍIÌIÌUIIIIIÌLĨ I O ỄIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIUIIIỂIIIIIIIIIIIIỊIIK 0 56 ẵfĩauvợaưμẫu 1.1
  74. 74. Drawing 38 3 ‹Íamonds l -+lÌiỵ,.i.mm.mow...m_m..i-iit.-....,. ›l am Í IÌIIIIIIIIIII III!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÌIIIIIIIIÍIIIIIIIÍIIIIIIIII loi 1 Ơ / I I I I I › quick jab Stroke 1 Ộ Iuuunllnlluluilllls 9 I n I Ù n B I I I I I I I I I Ỉ I n I u n I I I I I I I I I . . EIIIIIIIIIIIIIIựịnưillllllnliunlllllllllụlỊIutlnlnnuIIIIIIIIIỊIIỊIIIỊIIIIIIƠIIIIỊ I .uuọ .V v. . ‹«.nIỊợuỤ..1.. .D
  75. 75. More iFrozenr Ball Drawing 39 has tlìe ñrst Objẹgt ball in a more difñcuit place, and a 1/4 object ba'll hit would be inmịeễỄ._ ..... ..use a 1!8th ball hit , with four rail Speed.....ttĩe result Of the Cue ball “path is; a'm angle of Mo short rail diamonds, to four`long rail diamonds ..... ..with 6 rail °Speẻd, the angle is tvvo Short rail diamonds to six long rail dỄamonds....a "quick jab" Stroke is employed. With tiìese angles as guides, tlie running lines are better Seen.....the I Cue ball deñectionịggrle has to be checked (See page “ẵ12). =l""““ã°"ữ 'When using right hand englĨSh,' a strong Stroke on tlìe Cue ball will have the cưe ball go near the Ề1jgịt...,,.Mth a Soft Cue ball Stroke, it will beừto the tight of the target '"":'ỶI*i°"r*“'i°l~ Try not to obtain rolling, or Skid Cue ball english, at the time of object ball COr!t_ịì__CÌ.....ỄO0 much back _s__Ẹgi_n will hurt the Shot. Ì hiậxặụ~ . . ỈỂ1&iẫâ`
  76. 76. lọữ IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII dụm!IIIIIIWWỮỮỀIIIIIIÙIIII IIIIIIIIIIIIII x. W... S Y rm lợ to . 2m lol [W lo m IU a z.m nỡ f W. IIIÚIÌ ÌÌIÌ IIIIIIIIIIÌI = ộ rưng::ununnuunuunuưunụuuuuuunuuumnunuunuuuusuu..-uuuuuuunuunuuuuuuuuuuuuunu Ơ Ù 0 C Ù Ì Ó ỆIlIllI IIIlIlÃỆ 1 ỏ I k0. uniuưưr L. Drawing 39
  77. 77. D Chapter Four , End Rail Through-the years, l have been driven mad watching biiliards made with an end rail system ...... ..never knowing how it was Caiouiated ....... .. l was Constantiý experimenting to ñnd Some answers aiid found little ........ ..whatever these players knew, they kept to themselves. With the help of billiard players from Brazil and aiso Japan. We Ỏỗw have end rail hit point knowledge ...... ..`in fact there are txẽvo great ways to map out this shot ..... ..the "Blue Moon” and "Blue Moon Reverse"` . Back Ogt” are dead ball Systerns.......`..the ”°Ĩ“Oyko Connection "is the V running ỉengiish version ....... -.tl1is,Chapter is devoted to the Study of end rail points. Now when this shot Comes up, you'll be more confident ...... ..even when you miss, you will hear Some ,oh'S and ah'S. Table "slide" isμan important ingredient in finding these hit points..... knowing your table is a must ..... ..so check it out. . .....ørưnvnø-.-v-.-rv~ơ="v*-
  78. 78. T oyko CoẬnneầCtÍOn Out Of Japan Comes this Obỵí_Qụ,s, but eỉusẵve, end raẫí sySÍern .... ..you are going to employ a basíc diamond System caíẵed the Comer ñve System, .to wor1‹ Ễn han_TẬ3_I_1y with this. V tag' ẹuẵ hệ? ,ẨzLd'h›ẫầĨẠ __ Drawing 40 notes the typícaí Corner five long rai! numbers .... ..the .Cue ba!! Oñgín numbers4.ra_rlg_e from ĩ.5 to 5.0 ....... ..the fỉrst rai! numbers are from 19 to 80. iằ.ẵ`0vẵg Mukuĩìg, μẵưlẳ mag > ' The top of the drawing has the end rail with It's numbers ....... ..all you have to do is remember these numbers when the CLz`e ba!! -Orãgẵn ễs from a long rail. `“ Drawing 40 has the Cue bail qẾgÌn_Ữ m 5 .... ..if you wish to hit the raìì edge on the end rail at 6, just m_LL!ịLp e Cue ball oỉĩgỉn by the end rẽịiỉ hít poínt number, or 6 times 5 = 30.....30 becomes the ñrst rai! aãm pOìnt.`.........Ỉf you wỉsh to hit 8 On Íhe end raễl, muỉtípy 8 times 5 = 40, now 40 is the ne`N ñrst raíl aim poễnt. > ' le›^;Lwubvau,vJ.Ị.;`«rụ:”- Drawing 41 has va_Ẹỉ`_‹g_gls Cue Ễ3__ạÍI orígíns, ranging `frorn 1.5 to 5.0 ........ .. aỉl exampẵes have the d°c-ễ`,ầ`_ẹ"ỈĨỈ`end ỉ”aĨl hít point at 10....nOÍe Ìhat trìese Cue ba!! Origins are aií from a [Ong raỈ!._ ÀTO ñnd the fĩrst `raỉI. aim poỉnt, 'multìpty the Cue ba!! Orĩgin number byv the end rail hít point number ...... ..for exampíe a Cue baĩi Ófẵgẵn of 5.0, times thệe end rail number of 10 = 50, SO aim at 50. on the Ĩỉrst raíl ..... a Cue hali origin of 4.0, times the end rail number of1_0 là 40, So aim at 40 on me Íĩrst.raÍt ...... ..the Cue balt number Of 2.0 times me end raỉí number Óf 10 = 20, so aim at 20 on the ñrst rail. _ dẵm ' - . Maximum eqtìạịor engỉísh ỈS Used ...... ..level Cue .... ..Speed ỈS between 3 and 4 raỉl Speed..._....fOỈ!Ow through `Stroke. ” Drawing 42 notes a path thạt requires a Change ẵĨn Cue bail englỉsh. 72
  79. 79. :.“ "'!9n u.lμỀ°"‹'z_ Drawing 40 . 2 3.. . 4 5 I I I I I I Ế .s x N ít X. x mụụkm 0 ` 20 O 5 Vỵ 73
  80. 80. 5 5 5 . . 2 2 3 . 1 .s X O 4 . 5 sọ ẺIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÙIẸIỆ ụ s K Drawing ặ 41 8 ơ . ỉ . tr I . x xl Ơ ` I C NulllllIIIIIIIIIIIỊIIIIIIIIIIIIIBIIIIIIIIIIIIIIIIIIIIBIIIIIIIIIIIIIIIIIIIIIIIIIÙIIỤ . .. ` , . xx x s 0 41 74 ẹ‹.›.v. .y.v1.I5lxỉlIlIIIDc3ỸìtỊPƠcÌlìvII.... .. ›.Íu.tĩs›ullallAIlIE.l!CI.lalIơIIlll.ưỊIÌ!Iu.luĨs.›.‹ÌII4z......J..ę. ...ẵilìllllỉtịullçlfbf
  81. 81. Drawing° 42 n...nv. / . c . IỈIII IIIIIÌÌÍIÍIIÌIIIIIIÌIIIÌỈỈIIIIIII .'Ấ'J 5 nu 5 U . . . ..... . 2 Qu mtv vμwơmw. ..u....»... .. 0 .... . Z Z . . I IIIIIIIIIIII IIIIIIIIIIIỰIIIIIIIIIIIIIIIIIIIIIIÚIIIIIIIIIIBIIỰIIIIIIIIIIIIIIÌI Bỏ. I . . . . ỄIIIIII!!IIIIIIẸIIIIỤIIIIIUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỰIIIIIIIIIIIIIIIIIIIIB lọ 75
  82. 82. MA `1ơn0nv0ø‹‹ -wu-ơanưưuuo-ønøiløuuünøoúơwữt uμnựuquç . . ,. Ạ.vợoOcAubnoỵ.,...xqv‹ç.., . . TOykO'S Change When the Cuẹi baì! Origin ÌS from Éhe end raiỉ, the numbers On Ềhe Opposỉỉe end raẵl change, ..... ..ịust Slẵgm. ' ` . W3 W Ư Drawing 43 has ne`N Cue baẵl Origin numbers........theSe numbers turn the corner from 5 and Contẫnue on to 6, 7 & 8. Al! examples have the 2nd rail aim point at 10 ..... ..buĩ thẫs number 10 Changes with each Cue balí Orìgín betNeen 6 and 8. A Cue ball Orĩgỉn Of 6 has me 2nd rail hít point number Of 10 chaĩìgíng to 9.0 ...... ..the Cue ball Origin Of 7 has this 10 Change ÍO 8.5.......the Cue baẵl Ongin Of 8 has thís 10 Change to 8.0. Actually, it's faỉrly Simple 9.0, 8.5 & 8.0 .... ..easy no ? "+.nR ỄLỆ TO ñnd ĩhe ñrst `raẵl aim point, ưẳnuẫễgy the Cue balỉ Orígìn Of 6, times the 2nd raíỉ hít point Of 9 = 54, SO aim a 54 On the ñrst raẫl ......... ..a Cue baì! ongẫn Of 7, Ĩs multípĩìed by the 2nd rail hít pOỈnÌ. Of 8.5 = 59.5, SO aim at 59.5 On the Íìrst rail ..... ..a Cue baẵl Ongễn Of 8, multipíied by the 2nd raẫ! hit point Of 8.0 = 64....aẵm at 64. ` Drawing 44 ÌS a good exarnple Of having something to Shoot at When aỉì else looks b1_te_ę1_k. Ơ ỳ From Ìhậŕfeỵsạls pages, Ít is known that when the Cue ba!! Oñgin Ỉs 8 and Ễhẫ`_‹ịęsÍred end raẫl hít point is 8, Or point B, then by mulÍÌp!ying these two numbers you Wái! ñnd the ñrst rai! aim poínt Of 64....OuỈ Of the Comer at the 2nd rai! hít point, a Whípịẫìlẵ actĩon, from point A, Wil! have the, Cue baì! path›near the biílìard. gxĩ_»†› vịaĩ You Should hear Cues tapgịng when you make this Shot. vg`ỹ`c`i.LI A -v b 76
  83. 83. 8.0 8.5 9.0 10.0 IIJÌỊL Drawing 43 / . . /. ỰỮIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJIIÙIIIIIIIIIIIIJIIIIIIIIIIIIIIIIIIUIIIIIIIIII Ẩò IO.ĨIIIIIIIIIIIIRIIIIIIIIIIIIIIIIIIIIIIIIIIÚIIIIIIIIl.IIlllIIlllIIIlllIliiniiilillillỉIỒ. 0 m . 20 O 40 O 0
  84. 84. Drawing 44 l JIEIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỂ Ì Ỏ r Ồ IIIIIIIIỰIIIIIIIIIIIIIÌIÌIIIIIÌIÍÙÙÚÌUIV ø Ù Ơ Y T I μn.n II/ nuoc ơ I n F nhut Q... O .. 0 I I D ÌIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII O BIIIÙIIIIlIIIIIIIIIIIIIIIIIIIIIIIIIIUIIIIIIIIIIIIIIIIIIIIIIIIÙIIKIIỊIÚI 0 W nm nn.UvỤ m mữxm 7 8 78
  85. 85. - 'lfyou hit tíìe cua bat! harder or easẩer tlĩan you ầữả . ỉụtendeçf, you will ũnơ the result to be._ầI! mỏng ẩẵ , Í ° 79
  86. 86. .m . ....^ . ,. A .ạ..μ.qnμμuợụuvçưauuøv‹..-nọ-ọthøbìwvọơIự'dlIno›Qv~ịlk.‹- CI -ơivμí East End . trần . . . Drawing 45 will Show whaÍ_oCC_u_rs When the Cue ball Origin ls from 6, which is a farlend rail origin.` V ưa^:μ 'J " - 'g _ _ e ` . Notịtge -that the 2nd rail hit points Cnange.....only slightly .... ..tiìese numbers are 4, 7, 8, & 9. / _ . eơiicẳẵ, r . ` - e;T.›1es^:c This drawing shows _four sepepìe paths ........ ..tlìe same forrnula is applÍt=ìcjĨỈ.ỂÊÍỂ...Cue ball origini of 6, times tiĩe 2nd rail hit pơint nũẫber of 4 = 24.l...aim at 24 on the first raễl. The Cue ball Origin of 6, times tlìe 2nd raii hit point of 7 = 42.....aẵm at 42 ...... ..another patlĩ has the Cue ball origin at 6, times the 2nd rail hit point Of 8.= 48....aỈm at 48 ..... ..the last path has the Cue bail origin at 6, and this times the 2nd rail hít poễnt Of 9 = 54...-aỈm at 54 On the ñrst rail. . 80
  87. 87. Drawing 45 :Ồn ẤIIIIIIIIIIIIIIIIIIIIIIIII!!IIIIỪIIIIIIIIIIIIIIIIIUIIIII!IIIIIIIIIIIIIIIIIIIIIII É Ộ Ộ IIIÙÌIIBIIIIÍIIIIỈÌIIIII .ợ x qu Ầ Ă u u BIIIIIIIIIIIIIIIIIIIIIẸIIUIIWIIIỬIIIIIIllIIIIUIIỪIIRIIIINIIỬIIIIIIIIIIIIIIIIIIIIO lợ 60 70 80 81
  88. 88. -“*F"l"* *-* "ồi eüwmlniưnvwq nc..,.; --vu‹qnuuơcnự..- ›. v t-x`›- 4 ‹-›‹, 48 Far.EaSt End 915 μầa aiçvệắẵẵựe This is a óOnt_i_r_ì_uati0n On the study Of Cue balt orễgins fromnan enŕí raií. Drawing 46 has the Cue ball Origin from 7 ..... ..One number changed On the 2nd rait .... ..these 2nd rail numbers are now 4, 7, 8 8: 8.5. . rể” ĩnề* ỏểüủẵ . . This drawing sOlv_ẹ__s four separate paths ..... ..agaIn, usĩng the Same fonĩĩgịa, the Cue `ball-origin of 7, rnultipiied by the desiggt 2nd rail hít point of 4 Z 28....alm at 28 on the ñrst rail. yltíễ_ The Cue balì Origin Of 7, times the 2nd rail hít point Of 7 = 49 ...... ..aim at 49 On the ñrst rail .......... ..Cue balt origin Of 7, ũmes 8 = 56....aÍm at 56 On tiĩe first rail.......cue balt Ongín of 7 times 8.5 = 59.5....aim at 59.5 On the tẵrst raii to hit 8,5 On the 2nd rail. ,H muh! DravJÍng 47 Ínspegts tlĩe Cue ball origin Of 8 ...... ..here is the last set Of Ạ numbers for the 2nd rail hit poẫnts .... ..ttìey Change a b̆......and the .are 5, 7, 7.5 and 8.0. ` These four paths are solved thusly......the Cue ball Origin Of 8, times the desired 2nd rail hít point Of 5 = 40....aẵm at 40 on the ñrst raẫl to arrive at 5 on the 2nd rail. The Cue ball Origin Of 8, times thehdesired 2nd raìi hit point Of 7 = 56., .... ..aim tat 56 On the first rail. “l'ha Cue ball origin of 8, multipẫed by the desired 2nd rail hit point of 7.5 3 60.....aÌm at 60 On the ñrst rail ...... ..the Cue baEl“origin of 8, times the desired 2nd rail hit point Of 8 = 64...._.aim at 64 On ttte first rail. The 2nd rail hit point numbers are easy to remember.....they Only Change when the Cue ball ongin is from an end raỉi .... ..and the Change is not complicated. rŕxuằrữf .raỉ af
  89. 89. Drawing 46 s . III!IIIIIIIIIIII!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÌI IIKIIIIIIIIII IÌII W ..Ồ 1 . . b u u I . . . . . BÙI!!!IUI!IÌIIIIIIIIIIIIIÌIIIIIÌIBUIÌIIIIIIỦIIIIIIIIIIIÌIIIIIIDIIIIÌIIÍIIIIIIÌIIIV Illlllllilliillllzlullll Ò J . lọ A 0 .Ð m N M Ề 5 W .nam . 9 6 9 B 4 5 5 .
  90. 90. Drawing 47 IỒ. ỆIII!IIIIII!!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIII!IIIIIII!IIIIIIIIIIIIIIIIIIIIIIIIIIIII C n I Bx Ị u m u n oo. ..AY 6 5x u 7 ư V IO I. W ÐAY 7 7 Os ỂÚ m Nmmm AY mvax 8 vin!!! Ệ 5 ưaitr .I ›I .. Iμviọằ Il Ả . ...μ. . . lọ ÊIII!!IIIIIIIIIIIIIIIIIIIIIIIIIIIllIIIIIIQIIIIIHHIIIIIIIIIIIIBIIIIIIIIIIIIIIIIIIIŨ K0. . .y 56 6.4, . 70 S 84
  91. 91. iựñì' A Cue ball struck at dead ổenten or a lỉttleibeloìtŕ, runs more a`CcUrate!y than ` when Struck above this point. This is why you should Shun the abeve Center stroke.....thUs avoídỉng ' an unnatural action off the rail B5
  92. 92. Grab For Straws D ' ' The rail ñrst bank, as shown in drawing 48, has a chance to make this biiliard.....juSt use the methods shown in the previous dozen pages. Ảẵcùầsẵ, Ẻẵxkẵmμ tíì). in deteỊ_rn_Íning the necẫsary patiì. it appears that when a Cue bail origin is S, and aimed at` 40 On- the tĩrst rail, the Cue bail shouid be hitting the Correct side Of the first Object baii.....hOpeịuỊịy, a _ịịrì object . ball hit Wiii OCç_ụỊ. "'**""g; Kiệm ` If you think this is grasping for Straws .... ..What else do you have to shoot at ?. nùĩa age ,fẩuaỉ-ảưi.*ę 86
  93. 93. Drawing 48 nU Xi: . . . iraq 2 5 2 3 4. . . o .Ồ .ọmluill IIIIIIIIIIIII1IllllllilIIIIIIIIIIIIIIUII IIIIIJI lmllllnullnllll III IIII sx . z . W mvrmun W .eμ.. 0 . W 3 . 4 . 5 O . . H N. N 87
  94. 94. Blue Moon Shot D Occasionaiiy a very .diŕficutt shot will appear that has Very little Chance Oĩ' making a biliiard .... ..like once ín a blue m_oon. - ỦAĨỈE àeẵafẩẵ - _ These drawings indicjte One approarìh towards this biiiiard, besides being víabie, it has great fiair. TWO drawings are shown .... ..each with different Cue bẫfl different ñrst ObjeCÍ,baẵỄ iocatẵons ..... ..yet the same "fom_ulầ' Is used to Soịỵe both situations....n0te that ali numbers indicate "dÍamo.nds". gíìẵẻìüráẵẵ .. The aim spots are at the "edge" of ti1e,çushiỄr>°n.....hit the bail soñiy to maintain the proper angle Off the ñrst Cushion.-W r “ JM ee fĩñiĩh W The fonnula is shown On each draiving. ` VÔỆRĨỖỀZƠ Drawing 49 has the numerator as a muitiplICa_t_!_o_n Of the table length (8 diamonds) times the ñrst Object baii location fro1m the long raíi (hit rail) c0mer(2 diam0ndS).....the denominator is trie ađằịỂgầ Of the Cue baii location and ñrst object bail iocation from the iong raii (hit rail). wàng ti Test the table and estatjìslĩạ the aiiowance" .... ..the allowance On my table is "plus .3" diamonds ..... ..therefore in drawing 4.9, my first rail hit point is 5.63 (5.33 + .3). Drawing 50 haằthegñrst rai! h^t,_sp0t at 2.66 lgs .3, or 2.96.....if the table has a greatỵồeal of gi__ęJ.try`a gre u_í_ă_gề_d ailowance .......... .. instead of .3, try .1 from a Cue bail origin point ........ ..then graduate .to .2 at the next Cue balt origin point, and so on. . . . *Wi ồ=*".i'=` This Shot Is rarely attempted, Since tlĩe mấfẵlñ Of error wouid be embarrasing ...... ..not to worry..: .... ..now the reader can come Close. tuần iâiáwf, ấs?j&nỈùhuĨ7 88 gppíns andv
  95. 95. Drawing 49g “if”-“”-2 . diamonds ỈIIIII 2x8-.*(2+1`)=5.33 . [qu I I 10. KIIIIRIIIIIIIIIIIIIIIIII!!IIlIIIIIIIIIIIIIIIIIIIIIIIEIIIIIIIIIIIIIIIIIIIIIIIIIIIIV lọ . .. WUCOEBMÙ x ụwllllliễi m.iliiẵl-,i:.i-ạ.--a..+.-
  96. 96. Drawing 50” dlarnond Q Ồ Q Ồ 1x8'-“t`ẵ+23=2.66 Ă Ố I Inllơ z I .. I . z Ini I Ế vu u Ì I óru cm Ì s Ì ..u Ôm I I .μm I I III/ . II I lvl I IỈỈ ùI Ò. ‹uIIlIIIIIIIIIIIIIIẺIIIIIIIIIIIIHI!IIIIIIIIIIIIIIIIIỊIIIIIIIIIƠIIIIIIIIIIIIIỊIIIII ỸZIIỰIIRIIIIIIIIIIIIIIIIIIIIIKIII Ộ Ò JII. 2 3 4 5 6 7 a ị WmuCỒẾmhμmmŨ ilưullltli ẸsỶÌ
  97. 97. `Small Moon When the Cue bail is away from the Cue baii origin rail. it is more difficult to detemme the Cue baii ongin. xręáapl ' ' Drawings 51 and 52 have another way of finding this Cue balt Origin number; ...... ..just move the imaginary end rail to- someplace oiose to the Cue ball location ...... ..sometirnes 'the Cue bail rests on this imaginary rail, so calculations are easy ..... ..ottierwię_ę,ÌthiS rail edge ` must be estimated. uìk Wo Ạ Note the numerator.is caicuiated differentty., .... ..instead of using eight diamonds as a multiplier, use tiìe diamond distance-- from the imaginary rail to itte 2nd rail hit point.- ` . *ị$;k.f~. -
  98. 98. 'ctẫií-Iø,f?,KỎ`ễ,.» rù e 9 ta Drawing 51 mU:oEm_U . . 0 Ỉ Ả.HIl.Il.ưl .O. WIIỊIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIWIỊIII Ox . 'Í , 5 6 DHIIÌIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIẾ 2 -4---**,v diamortds IIIIIIIIIIIIIIIIIỰ-IIIIIIIIIIIIIIIIIII AIIIIIIIIIIIIIIIIIIỊỈIIIIIIIIIÍIIIIIII! IỒ. VSIlilliIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII:IIIIIIIIIIIIIIIIIIIIIIIIIIIIIY 92
  99. 99. Drawing 52 ụ... mbcoμzmmb ..W ìiíỊIlii.li .u iiiiiiilll.i... 1 2 am. 3 4 n ÚIIIIIIIIIIIIIIIIIIIIIÌIIIIIIIIIỂIIIIIIÌỆIIIIIIIIIIIIIÍIIÍIÚIÌì!IIÙIIIIIƯIIIIIIIỈ O I I/ 1.5-”"”“~ñ`v ơiarnonds Ị 9 4x 1.5 +(1.s +.É):3 IIIIIIIIÍIỈIIIÍIIÌỈIIIIIIIIIIIIỈIIỈI!? IIlIII!!ÉIlIIIIIIIIIIIIIIIIIỰIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIÍIIY . I .. O ỄIIIIIIIIIIIIIIIII Ă. II O 93
  100. 100. ụ Blue Moon iReverse, Back Out A cousin of the "Blue Moon” is the reverse english version of thatb system ........ ..this is aiso`an extension of the "Reverse Back Out" system shown in tiie "Billiard Atlas il", Chapter Vlll. The "formula'Ề used in the "Blue Moon”ỈS also employed here. aầẽn“ừ`*~›*~Ỹ=*3*`ŕ' D . Drawing 53 is sir_r}jl_ạr to "Blue MOon's"drawing 49, except the opposíte side of the first object ball ls hit, and the Cue ball engiish is different. ẸTỀẨ ỀỂL ....The ailowances are siigẵịy different sincemgroiling" engiish is not” used ..... ..side english wiil have the Cue ball Siid_ę a bit. .... ..aiso more speed wili a_l_t_‹=_2_r the angle....therefo_re, test the table` for the new `›ãs'ì aliowanceị .'v..ẩI _,y r- 13 pầĩ I' ' ti`““ĨIẩ*ivỲ" °'**"" De_s._perate meas res are sồmetímes employed for a difñcutt biiiiard. ơ-ục-ụ On a tong angle such as ttìis .... .." the harder you. hit the Cue ball, the sỉarper the angle is off the rail, and the Same applies for a ball sÍr_Lg_c_l‹ ` below/Center_”. ` Ff- _ vnĩtẫ , ZăfrẾ0‹ Because extra speed is. required, the aim point is moved tổ 5.5, On my tabie.
  101. 101. Drawing .S3 .`q..i!i..ęil.:.! . Iu . IllIl.1..:ơ..iJIn....II.Íựơự.››Ạ.: mücoẽmμc. . .. . . .clatựlμ øvlll. xulrvcìittnllllltlx. Ế 4. . 6 llưlllưl.IỊỊ IICIIIIIIIIIIIIIỊIIIIIIIIIIIIIỊIIIIIIIIIIIƠIIIIIIIIIIulltũ Illllllllltllliiillllì . . II . . x›‹ II al . 2 3 . . na 7 . . . . ưl.ưl.` Ểoc . . . p . . I LIÍIII!IÌIIÌIIÙIIIÌIÙÌIÌIIIIỪIIIII!ÚỀIIIỰIIũÙIlÌIÍIÙIIIIIIÙIIũIIIÌIIIÌIIIIIIIIIIIƠẤ i0u "I IIIIIIIIIII IIIIII IIÌIIIÍÌIIIÌIIIIIÌẾÙÌỈÚ 5 9 -ụ
  102. 102. Chapter Five HOW .TO Ạ Thìá Chapter contains a Coíẵectỉon of Certaỉn bíííiard Shots that Show tip frequently ..... ..usua!Ỉy, the Billiard Ades books cover Ềrìfonnatìon that belongs to a famỉìy of Shots ...... ..here, the famỉìy ÍS rnarginal. A kiss occurs often in a Certain 5 raìì Shot .... ..now y0U'iĨ ñnd Out how to mẵss this-kẵss. ` Ỉ - The "WOW" Shot is one you may never have _ÍrỈed, but when you gỉveệ' this a go, you WỄII be glad you did ...... .:we are Ìaỉkẵng eye-poppíng. The "Spot On The Waíl” Shot' needs more exposure ...... ..these exampĩes WÍỄĨ expand Ỉhe use Of this method ....... ..this approach wí!! open the door to more bỉlẵíards. 'íParáÍlelỈng" & "Mirror Milror” are two n`rfÌy bits to add°tO your "Hhow tơ" .ẵỉst The "Basic DÍaf7ẩOnd'ì System ÍS revíewed ....... ..the introduction of heated tabìes, Compressed Cushions and Slippery balls require a hínt or Mo, On how Ỉo best handỄe thìs. Technẫcaí data ẫegarding Cue baỉỉ movement is included here....and Ís A of major Ỉmporĩance Én getting good Object ball hits. 97
  103. 103. MĨSS-A~KỉSs-A-Day- ` ` . . **ĩũ=**v`›=›ữÝ“:,~ **^Ể*F ` This is me easlestway to map Out this paưícuìẽìr kẵss ...... .. the one mat shows up Ỉn every game .... ..drawing 54 has the pĩayer trying for a ñve rai& bìllìard ....... ..the kiss is avoided as foilowsç -“ Make Sure that when your Cue bai! gets to Comer X, the fìrst object baíì wiìl be near poẵnt B. 98
  104. 104. O Ì Ẹ n U n I n n I I B .. IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII!IIIIIIIIIIIIIIIIIIIIIIIIỰII IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIll!IIIIIIIllIIIIIIIIIIIIIIIIIIIIIIIIIIUIỊỈ no. Hơưugơiợlnưogợiựy Drawing 54 99
  105. 105. WOW Shot - Ẩŕ` ẦOỖỈẤ Úìợw Drawing 55 has the pẵayęr facĩng dífñcult ẽ[Í6FRaÌĨỵ_ặ ....... ..Ỉhe raíề ñrst Shot wiẽl not be attempted because Ít looks ẾrĩĩpoSỀ`›_í_t:lỄe to aCCOm_Ịịjẫ_S_h. . ° ~u'>glL"n,a1ìaụt;“,, V 'Ỉ Eẵeva_Ì__e_ the Cue butt .... ..Cue ball engìish Is Center and IoW.....uSe a fuĩl hand grỈp..Ị....a qUÍCk,SÍFOkE ( ịab O'--?Op Stroke =)h is used ..... ..grip `ĩ”»*`° pressqì may Vạ__ỀẾẳhd iS`a bit forward ........ ..use a fu!! hít On tĩrst object bail ....... ..hít the raíl and baẵỉ at the Same time. You'll hear a deñnqĨt_e wow, When you make this shot. Ì hưìểIn;ì,bkẪỊ clvxấẵ 100
  106. 106. Drawing 55” 101 IIIIIIIIIIIIIIIIIIIIIIIIIIIIII a . . . Ộ s nọ P Ỏ Ỏ ÌIIIỈIIIIỈIỈIỈIIIIỈỈIIIIIÙIIIIIIỈIIIIIŨ Y Ồ Í s LIIIIIIIIẢIIIIIlllIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIKIIILIIIII#Ililllillllliillllllliĩ lọ O I
  107. 107. Parallelỉng Ihẳếửfầ Um W, fìẫleềl Paĩaíẵeĩễng ís one Of the more popular memoẳễ of mapping out a shot ........ ..and occasĩonaỉly comes ãn handy. Drawing 56"ShowS how it's done. Fẫnd the haÌfxNay point (point A) between the Cue ba!! and the 2nd raíỉ hịị point ...... ..fromơpoìnt A, draw a Eine to the Comer ...... ..move your Cue SÍĨCK Ìãaraỉìeì to this Ìíne untễì it's over your Cue balt ...... ..ĩhẵs is your new `ầ”ỉm point. Hỉgtĩ Center Cue baì! Aenglẵsh .... ..Sho . ` .... ..foìlow ỉhrough Stroke. Check out page 52 for another-example.
  108. 108. I ỘÙIIIIIIIIIII. IIÍIIIIIIIIÙIIIIII ..IIIIÌIÌIIIÌIIIllIIIIII!IIIIIIIIIIIIIIIIIIIIIIIIII I . . II u,,wTYn. Ậ p ,r I I 8 Ồ 3 t_ộ' Ỏ 1 AIIIÌIIIIIIIIIIIIIÍIIIÙIIIIIÌÌUÙIIII I . D QIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIỊỈỈIIIIIIIIIIIIIƯIIIIIIIIIIIIIIIIV 0 Ă.HH.H.H. .ưH.H.H.V 103 Drawing 56
  109. 109. Ế Ê Ẹ Ệ -.nn ...ø ,.,,. Mirror Mirror '.-IP.. °jỊ' facỈ” that `th_ỉS sÍmpẵe_ÌechnÌque is not used by most. piayers, ỈS .ỵatt‹J bọggỉỉngr. ..... ..but an exceẫlent example of how smallíbits of g;1`›t'matíon heẫp a ữplayer.' ỵ^*-Is ấŕáỉμ 'ốữøí v ì_: fìợs ẵm. 2.3 get a rail ñrst thẫn hít on the rẵght sìde of me ñrst Objecì ball, aim for _`, ĩlìin hit on tŕìe Ieft side of the ñrst Object ball. ẩệệ mviổlịbềl uy ›. Ạ *'mirroŕ' eŕẵegt Íẵ emplOyę_cị._ '“'Il'”tỉÍ*l`;.' ~ ` p ầẫni T Pìis method opens the door to more acCur_ạỊ_ẹ hits On the object ball, ịìíìd even 1/4 object baì! hìts Can be aCCOỈ1“lpÍ'Ĩ7SĨỊ_ị_e`gì_=...`.....iịuSÍ aim for 1/4 hits On the Other sỉde of the object ball. ẽỶ““'Ĩ“Ấ”`°"*Il”Ề`Ầũii‹Ế v Ạ ° JęIxa›eIe,.`1tęụỀ”rzvạ;`g _ English Can Vafy,' _depending on your desired Cue bail path. W ừ I . -_~ỵ.:wẺrìg 57 has the player aüemfgịgĩg a ra!! ñrsấ shot , with a Ĩhín híĩ Off j_~n..- ñrst Object ball, and into Comer X. 1* “”" "' " Only vvhen- the Cue ball fs hít soñly and without english, is tŕĩe angle ;nĩo the rail equal to the angle of reĩĩection ". bầẵ ' rl!,i;›f›aỂI› ẹýxmịta”, kę; đị»-Zad' Runnjgg Cue ball engẫìsh, will change me hít on the object balE.....SO `.`.*ỈỈI equẫpment with lots ofr;Sịị_c_ỉ_e. `n,,'.“.ø. r- .ơ - S-P ` “
  110. 110. Drawing 57 .o. IliiiillulllliiiiillilIIIIIIIIIIIIIIIIIIIỰIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII nu 1..Ọ IIIỆ¶IÌÌỈÍII I . . 0 AỖ. EllIIlùi!IIIIIIIIllIIIIHuilIlƠWDIiIIIIUIIIịIIIƠỊuIIỈIIIIỈIIIIIIIIIIIIIIIIIIIIIIII Ả.Ivs ạ.ụ.uμ . ụ.... .. y 105
  111. 111. Spot On The Wall= When the player memorizes the "basỈC" running lines, he must then translate this knowledge to solve the probtem at hand. it ÌS important to picture the enịịge path of the Cue bail .... ..the easiest method OĨ calculating a mmpẹjirầeỗễsịưo Use the Spot on the Wall method .... ..this metlĩod has it's ỉn1Iitạ_____‹5i°ì`s"°ễ.inoe it is usually employed for three Cushion Shots only ...... ..and thẹắềtange to tiĩe spot, has to be somewhat.corĩect ....... ..the distance bẽygỉdtñẩable to the spot, is the distance between the Cue ball Origin point', and the first rail hít point. w r Ì V ĨEỸẬƯL The drawings on the following pagẵs revęệl Mo examples of locating the Cue ball paths ..... ..and exưem,ềĨy simple to 'learn .... ..after the biiliard choice is Selec'ted;=then "estimate" tlĩe Cue ball path, and mark the ñrst rail hit point.....Cail it point "S".....See drawing 58.* riiwỹy Pretend to make a 3-rail bank shot from Comer "X".....aSsu_mę the first Obịect ball is not on the tabie .... ..from the Cue ball location of corner sight through the tirst raii to a Spot on tlie wall about eight feet past the table (path "A"), and mark this spot.....now return to the _ original bílliard example, and from point aim for the spot on the wall .... ..this will plot the running line. Use the basic paths as noted when the table was tested, or estimate path Draiñling 58 requires a certain technique to have the Cue ball behave as you wish, So elevate thercue butt, use a V and employ a "quick" ("jab" or "pop") Stroke. `````` ””/ Drawing 59 has an example where ga bank Shot is attempted, and an_ extremely long `angle is ạ problem. Here `agaĨn, tiìe angle was known# when the table was tested ...... ..tỈ'iÍS drawing has line "B", as tlĩe perfect line from point "C", to make ttìis billiard ........ ..but ttie Cue bail is at point 'T' ...... .. extend line "B", through the ñrst Cushion, to a Spot on the Walt about 11 feet beyond trie table ....... .. and from point "“l“', aim for tstìe Spot on tiĩe wall .... ..tiìe distance from point T, to the far end, of the tabie, is the distance used beyond ttìe table. -a 106
  112. 112. Drawing 58 IIIIIIÌIÌÍỈIIIIỈIỈIIIIIIIÌIKII Q . Ổ Ỷ L s eo xxø. nợ.. Ủ ,ơrmợ ụ . e®.nmợ.moX eẠWQWớ K awvkø o X Q . ee Xe eởe 1., ‹e dq box I ì . I t μ I :OiWIIIIIIIIIIIIIJIIIlllnựlnllliuuululilIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII Illulịulnuuư . . I ụIIlIIIIIlIIIIIIIIIIIIIIIIIIỤÙIIIIIIDIIIIIIIIIIIIIIIIIIIIIIIIIIIII IIIIIỦIIIIIIIIV I Ó Ũ Í Í ..Ồọ D I .l`Ộ* 1 Ở O 1 I AIIIIIIIIIIIIIIIIIIIIỊIIII I I l“c Ỉiìμc. . Auỉùẫẵ 29` 107
  113. 113. IIHIỊInămINImnünμeuaueEưauueuamanniHHInưãIMIỊRẸmmlueũuwmimuamỊnuuuuuuụnụumuưuulm . . ,.μ , s, , .., μm., , ., . c. iu ... M., ,. .,, ,
  114. 114. Basic Diamond ,System I iiỄ'ĨỄ“;ẵrậẫi› - ạ' ạ v' G ' .'^ _ I “I ịęfiĩdĩẫbagŕęổmf 1” -;l,'ếễx With tae Werỉriergenge Of Qẹatęd tables, fast Cloth, sl_i,gpery batis aiong with C0ỒĩNỂỈe°ẽỄỀ_d CuShịqgẵĨthe tabie now plays with more "siide" anud becomes ionger .... ..Cue ball Speed becomes an imponant/matter, because more Cue ball speed creates much longer angles. g Ợ'_ fhdĩfẫ-Ề',i›ũ1B*Bw”II _ 0 1' g g " . This In turn, Wlli aịer the basic diamond system running lines, no. matter whose "system" ls used .... ..the running lines shown in the *'Billiard Atias l", pages 85 to 133, are OK for most tables...Ị_.ệ,Eut on a table with great "slide", a new Set Of numbers must be ÍutiIiZia_cl_;Ỹ`ẫỊ..and take Care with higher Cue bail Speeds .... ..ali of this iấiỡaễiềnnined whenę .-....øAơn Checking a tabie..,..,.the principles and Ệailowances, as shown in this!” book, are aiways apịìlicable. ,ẵwặgị ẫẵçĩthrỉĩỉãiỉø. g zrreầędggạμ. “I Don't go .çrazy trying a System dudng the break-in period of a new cloth, wait a day or so .... ..the pro“s play as Soon as 3 hours after a Cloth is install=_3_‹ị.°ĨỄỸar`^re trying to keep the new kid on the block _ ổi; Cpnfug ?.....rernember, they play with these conditions every week. `“”i“”ầ“sế*?“?‹ t Get to work_an_ci ñnd the running lines for ali of your Systems, the back- ups, reverẩệẫầrẫồlắh tracks, etCị_etc ...... ..when this is done, and the newly covered table is soived, you will alĩive at the Closest thing to euph_o_ria ..... ..alter your tracks a's the Cushion cloth ages. i'Ĩ^ịiŕ«ø:*`f‹xet ,arqý ° ,4N:l°here are a fe`N ways to design a basễc diamond system, which are all 4ẩ~“^rç,,7CompI_ẹ_›,< .... ..for example, when choosing Cue ball english, some have the Cue ball english Vary, _some minimize mnning`ẵngli_shẹẹOtherS employ maximum side- english for their hit pOints.-.'Ề.Ĩ.hist_gÌìcấEIy, the _most popular system has been the "Comer five syStern"....Ệ...when the Cue ball origin is from the end rail, the numbers turn the corner from t' the long railnurnbịęrs and continue onto the short rail as if this rail was a cOntinÙầỂổn'iỡfĨỂeTñồhg raii, and it is noầẩ.. . .this is where various auti'ìors Chẫiẵe the Cue'balI e glầsẵ to aCCOñỄilịĩiẢổÔaÍe their numbers .......too many good players'Ỉẵm raị_<:_E3_tiiẫ”esễhỂshort rail numbers without D en.-.-.- question, and without aitering Cue baii english. - .~_ 0- F ›.-:-, _.-'J-`;ị` .. - 109
  115. 115. More Diamonds Aỉưt-L. .v The "8ÌlIlỉìIid Alias"-bĩgks,, a°ỉ1taín that the b ` - °ỷ"ẫ`“°`z't Oi the '°'*”i 'a" a”° liếiong raili beỂĨẵỂẵẵẵÍẵnễẩễtỂ“iiJĩ'EĩlgẨ This ẫntrO!iUCÊ5 a unique, accurẽjtẵ, complex system to table. with stanfiẵìrg Cue ball english. °iĩ^9s›‹4“ç ` U z ize "~-ai' ::..L , >_ - When thit "Plus SỲSÍEM” is discussed VHS ` - V çhangịng llìeh numbers on the short raiị ũềẵedẵẵfẵ ẳtểeắgễystembby Origin. till*-"* avlng a "Ser' of Sh rt ` Cue ai' ofẵgịnử O rail numbers for each Cue ball _ The ” PI‹ỉ:i SY8Í6m", as shown in the "Ati tv Ĩĩẫikẵ im/ ls a good íềxample gf how One System íẵseẵểíẵịữẵpìfjgs ali of this and even thot iiiiì the more Complex one may be more ẵoẵẵễfver aii°iheF, Ẩtifwẵiqỹ i ` ln regard to comple>gty, various basic. a ' . Q much d8iẤl...:.S0 when examinẵìgủẵẫsystseyrrĩýlegiìvse ritecẩutre meĩnọĩnziũgr ` Very acciJi:1te....don't use it, check out anothier it e extra stuclw' is umbersome but this ad ` ` ,‹::-.~;.- . . ŕẳ`.ŕ ơ...__,_ i O bìlliard iifil iiĩỉể wẵẵgỉì ES for qlẵẳeẵt Of yẵuẫ uơ .nì 0 _L ẵự ahŕ'âuq-Ầềạęμç ƠLIQ Fll.'V The ultiiìlaitę study of the tine ' . ` Iocated iii Ếaymond Ceulem ẵịỉnẩẫoịf sịịnsỉelịĩẵoand techníclues, is mateịęi ỵgsaiuires a dedicẵẵổñ A°ỗ deep istud` a d ```` "Ỉ.O ab.ẵ9ỊỒ this hìghestlexral ..... ..it is writtenỈìμ-a few languageễ Ỉn 1 eiẫulpmefit of the Is dincuịt iii Obt_a_ị3_Ị ' ' "C Uiiilig english, and ĩiaratlrẫa.
  116. 116.  ea C_u_e Ạlignmeiìì s-?fiỉ7i““^`Ịi ẵ4'- cpi”/4. .“;› ' 'liễn - _. -.ẫ;:4-{.'.^Jt.- Ị ẵlçaŕu- ,II Ề Right handed playersỆ often haye their Cue alignment Coming from the ` "o_uịệịdeỹ1Ĩ,`sắD_V}1hen no Cue ball english is applied, the Cue ball will v.°i'°v ỶsgLịÌct", _eị›lightlyfẵ°ĨiĨ.ẵ...check this out .... ..use dead draw english 'and Skid ` the Ểũe ball'ŕtỗỈthe first object ball ....... ..if the Cue allgnment is ok, the Cue bail will go where it is aimed ....... ..mlnegd eìpo çand l have to -adjust rny hit point slightly ...... ..if the s,troke1`tểỉg_d_ậ tovgo left, point the r ngếht foot outiliraịcịs more..... if it goes right, point it more fonlvard. đạ ' gě 1 `. A ~r _T 'a='“'A` ,F .T llìàwẵuễẵ &xă Bếu Ị i “'4i”°*'i*°ii"'i"”` Dim' "' lF"*i“`" , ._ ề,mggamentai understanding of "squirt" is still unknown, but some `°'*ti“`i^zỊì2ẳf:`>`‹'perimlar1__t_.°_. have been conducted and a ẵslef_Ị_çl_ęr pool çue, create_s more squirt. ` lnzgỊĨv,.lỆỗlíỆ,quaẵ3ig,” ịỆịjgậmấymu&,tin.nyúăn " iv ”i'á`uỂ_.”íl*Ẩ _iuĩxsriặọ _ , , If tiĩe Cue tip Stnkes th'e Cue ball avỵậyỗfrom tilgdesrred spot, a i`i"llE`›__ị is 'hl " ắÃjgbyậęẵLalmost`*'CễĨtain “to‹ happen....thÌs co_gig1i`ĩìm_ỀỉLti° pưioblem- LSÍ ẸUSỈẸỎ by μíỵ,ihøç,leCisiyeness ..... ..take the extra`tinằầ, and be conñdenỸ'orthế Shot ìselection ........ ..when a last Second Cue ball english is męlì.nged, ,remember that the Cue alignrpentịs Straight ahead to your targậ, from githe Cue tip hỈt`spot ...... ..if theĩtcue bẫầis not aiigned, the player will "cut *-:across the ball" ..... ..a strai httline followwthrough ls a big problem for most players....-... to the right or left, ls Common, when applying excesstiỉe engiish.'l'_iẵí.ỈutjL"Ĩặf~:ĩ,.,_ {I , _g.,,μ° ,r,_.ụ_`ạ,, Ị,_a...,. r~ę_'ę I *teuĩiỉ ioh.gụL_,› l)YỈ3Lbp 3 A 'tẩt t^›-a1'f1ỉơẵ†,itv":3tt‹ạỉ _ unểẽdaíã, tsmầenjựặ* The headiand the bridge mu'st not move ...... ..it must be abẵol tel ` i` until the cu`e ball is long gone ..... ..by moving the head to "peę_w`i'atjĨỸìe' shot, the player actually moves the shoulder, Cue arm and the Cue tip. 0 Iha Cue tip movement may be small, but this causes errors.....sorne mwửểẫpgị players look at the Cue ball last, some look at the ñrst object. ball last ...... ..if the players basics _are good, it does not matter. W ,ỂR (ĩlrg) . ` J‹l“Ể.l Zini The greatest majogjty of Shots require english that is equatg” english, or below equator english.: r u “ . ` tặnúễhtìổ When selecting a shot, choose the short shot in preferengę_ to a longer ` one ....... ..it's more accurate. blwỉtxli μĩ. lit
  117. 117. Cue Ball% Síde Movement . I Ù Ỹfì Ềmỉwm f`Ệ'Iì`ễ Ểầẵầ . This subject ễs about Cue ba!! đeñeCtÌ_qg_“and Cue ball cumg .... ..pages _ 96 & 97, Of the "Biìfíard Atẫas ẵl", touched On Ìhís `subjeQt ..... ..but ẫhe matter Of Cue ball speed was missing ..... ..Speed has a iot to do with' híttíng the ñrst object batẫ accuraẫeẵy. Drawing 60 ỉndícates how the "Sẵ`de movement path" Changes when using three different Cue ball sọeeds .......... ..all with the Same aim point ...... ..Ỉn each Case, maximum side engìỉsh is uSed.v Path "A" uses a Strong híttìng Stroke, wỉfh the Cue bail path as shown. Patjĩ "B" uses a medium hỉttíng Stroke ..... .. the Cue baif path is Shown. Path "CỸ'.uSeS a Soft hỉtting stróke ...... ..notice the difference ãn paths Ế. Now a Iẫttle more ĨS known about errors, and Why the ñrst object ball ẫs Oñen hít badìy .... ..Strong, medẵum, and soft Cue_ba1Ỉ Strokes, make a dẵfference .... ..here are tsvo good nlfes; ° LvầĨ.`ũndụ ,knig›ẹ vư”:`cuấu^* - Strike the Cue hali moderệịẹ to soft, for long Shots with running english ...... ..with mis Speed, tlĩe Cue baĩễ Curve and defĩectíon have a Chance to Cancel each Other out. For 5Í30l'Ê` angle Shots wítĩì Fufìning engIẵSh,. shoot with a moderáte to hard sẵroke ...... ..the Cue ball Curve has not taken pỉace, so the hít ÍS better. A ““ When you apply maximum side engĩish on the Cue bail, adjust the Object ba!! hẵt accordíngìỵ. , ezogầịị ¶›ư,1rb_gĩf, .ýlổẩìỹf Lsớí A level Cue will redugg Cue baì! CUWG. `ẳ""' ẵu V - Ị Iam 112
  118. 118. Drawíng 60 .G .m Ỉ ..m A “E33
  119. 119. I TO puĩ tịẫíeẩsu English Often, very good playefs Use Cue baì! engỉish that has the Cue tip near th * 'd ed eofthe Cue baỈl,_andỈnỈhe m`___ -r . "›;‹-`°`."`_°`.‹'.›”, ^~ e OULSI eĩgĩạ dmữĩìấẳcẵẵịẵỉẵẳięlẵmmjm Ế _ờzzịect to rest, your aüentẵonñẫsậaẵled to Drawing whễch reveạịẫ t farẵ the Cue tip hắt poẫnt, to geẩerĩe maxẫmum englísh, is located within the 80% poìnt Of Íhe`Cưe balẫ wÍdth,........Stĩĩkíng the Cue bail outside this point, will not add more engíish. ốởaỵzỹôtn “ẫấ Pfease be .advised that the origin Of ..this Ỉnforỉnatỉen Comes from Nobuskí Kobayashí, one Of the worìds greatest players.
  120. 120. Ể'!›'-.l.'-'-' . n.. ợw q. sự ụ ụ.,,.,., ừ J .al
  121. 121. Chapter SĨX The S,hortt Game W 7~í"ỉ›h.<ìíuhỉ7Fa -Qi onee that are'tễ”ỗĨ`1ỮfỂỸ1ĩ'ẽềỀ"ìrỸãĨ7ĩe.half^tatgle ?....`..a good ássumptigg woồễd ợunnun be 30 % ..... ..Ìf a player Can ỈẵỊẫ°“rcJ°Ỹ_f_ễ"ĩỂ^'t°ĨìỈS area, he net only gets the extra bìllìards, but gets the bonus of more tímes to Shoot. How marịyủẵhon angle Shots appear Ỉn a nomalẵgIỄard,`game, the Thís ts where the top players Shễne .......... ..they make a much higher percerìtage of ttìese Shots ...... ...thẵs has much to do with their high avõfages. 4 ` When Sặtng Lee was asked how to pỉay a Certain short angle Shot, he ., Said, "there are 15 ways to ptay that Shot" ........ ..this Chapter will -› mentẳgn only nine vanatiogặ of a short angle Shot. UT '. ` `, . Ỷẫ" New Ềẵỗŕẫẫầẵẵn such as "System South" ....... ..”LuCky Five" ...... .. 'Frozen Shot't”..;...and the ”KỈrỈkaeshỈ" Systems are Shown. ọệzụm{g;,9g5eẫnuLuaỆ A” ĩeVÌ8_I_l_I of four-other short angle Shots from the past "AtlaS" books wíll also be seen ..... -.the Very important "Ball SySÍ9mẳ.Bfü$ặ5LỈOeyIS System"....ị.."RỈSỈng Sun" ....... .."LuCky Seven" ...... ..my apólogígẫ for retlìewìng the past"'AtlaS" books, but Ỉt was important to gatger Ịhịsq, array ...... ..SO the readerwẽll be able to COmpạ_re Short angte Sh0ÌSĨ`bn ttỳěn11Ĩ;`_ẵỵ` Po+uỈ1ll,7Ì.8ẳ`cỷf.ę`}í A 4 V . 117
  122. 122. - -.v .-... :-vμ --..-. nnvnøμvu . .,.....,..... .,,,, ,,._.,,,_,,,., ,,_, ‹ vợμuụụqạunụự- <ùI . . fμnơợp-ø-øpncunnøμưq. .Av u.. ,-. .. r Short Angles This Chapter reveals the many ways a Short angle ShOt` Can be approached ...... ..position play enterằịgto the decision. . ` %a`ZIa‹› .ảa`ruỉu - Drawing 52 reveais a short angle shot that has the Cue balt hítting the ẫnside Of the ñrst object. bail, with running english ....... ..the "System South" approgach is used..Ịẫ..thj idra1Ning is similar to one Shown on page 2, except this drawing utiÍẵ_ę_ẽ` e "smail tabie", instead Of the full size ấabie .... ..but the approach is the Same. _‹Ĩ`mg vz" Drawing 63 has a medium Short angl ,lwẵth a hit on the inside of the bail, with running english .... 0 the ”Kí!1kạeẹI2ì System” as shown on page 60 .... ..except the "smaii tabie'“ is used. . La7unø6ẫ'.ŕ›Ạ33 - Drawing 64 Wiii ĨOç_ụ_S Ỉn on a very sl~ẽ ..zịie shot using tiĩe "Lucky i'-”íve" method ........ ..would you belieVe.Lĩìat a System for this angle existeg ? Ạ ' rhẩẵtạø' FA:
  123. 123. ,W ưa. ì Drawing 62 "System Somh" 119
  124. 124. Drawing - 63 Ả.ưl.ll.ll.ll.I1 ,IỒI ĩlllIII!IIIIIIllIIIIIIIIIIIIIIIIIIIIIIIẶIÙ. I Ì IW Il 'IL C 20 ` 20 30 25 ĩ Ỷ 1 IIIIIIIIIIIIIIƠIIIIIIIIIIIIIIIIII (30-ĨẵÌĨ$SĨŨ =5Ể **KỉrỉiỄaeshí System " Ole ball origin num bars 30 T0 20 30 3rd rail hit point numbers 40 120
  125. 125. Drawing 64 OỂZ34 -, AÌỊ.iỊll.llμ` 0 IIIIIIIIIIIIIIIIIIIIIIIIIÚIIIIIIÚIIII III DỒ. ti.cm‹v, ll.l...v.!iI..:o.flẤ z I I Ỉ I Is.Qì1vn Oi suulalilaailuữư ụ . . u . . . . . . u . .nã 0 D IỦIIIIIÌIIIIỈIIIỈIIIIỈIIIIIIIIII T Ộ Í 121
  126. 126. FrOZe___r] Short 'a'ỹỈ›ẫ,iDẠ`ằsị;7'ẫầỄũẵ›x.iV ` Ẩ›ỳHi°&ø7*l'BH_ Drawing 65 shows MO separate examples; path "A" and path "B" .... .. each example uses a "quick ia_,t)" Stroke,°and english as Shown. ~ ' `ĨỶì9‹- nqnẵ `NOte that caicuiations are. now in 'ẹrms Of hati diarnonds. ã4`ă`tĩ°n D Path "A" uses a 1/4 baii hễt oBithe.sñiểst object bail.i .... ..and .the angie off tiìis- object bail is the tnaẵ^dề°ratiẵ of three haif diamonds to four half ạn diamonds ..... ..with more Speed, three haif diamonds to ñve hatf dỈamonds:` Ạ ' Path"'B'“ uses a 1Ỉ8ti1 hit on the ñrst Object baii, and the titangie ratio is tNO half diamonds to four half diamondS....with more Speed, tiĩe ratio is 3 half diamonds to 6 haif diamonds. When you ẵỶ‹pioLe this method, you V/iii tind that path "B" Could easiiy reach point with greater Cue baii speed. - in this example the "outside Of the object ball" is hít .... ..but you couid apply this technique f0r.ậhỌư angie Shots that hit the -"Áịnside ef tiie object bail", which redu‹Ể_e__S the nìnning engtish and maítẵtaịgs a 'sharp angie Cue ball return ....... ..a regìgar shot in Sang Leeĩs arsenal. vũ`ẫlẦ`m rơ“Fxr “i°`t“?J*°Ư'°ỶI .› gg Cautig_rL.....0nCe you vpractice this, you may fall in love with it Êkçvç ằaŕt
  127. 127. Drawing. 65 nãlievwv-ww-~3 ' half dlamonds ” mwucowcmmnụ ..mn mlEililii.r WỦCOEŨÚŨ .... we .... Ả v.. vn.lll ,l,..I .. D& Invi IIIIII!IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII T IÌIỈIÍÌIÌIIIIIÌÍÌỰIỈIIÌÍIẺÙIIIIÌIQ Ò Ì T ?Z3 ______________________ __ __^_A __g__________,_._°_...,_,_..,,...a...............-.-v-ø-V

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