Empfohlen
Weitere ähnliche Inhalte
Was ist angesagt?
Was ist angesagt? (20)
Ähnlich wie introduction to euclid geometry
Ähnlich wie introduction to euclid geometry (18)
Kürzlich hochgeladen
Kürzlich hochgeladen (20)
introduction to euclid geometry
- 2. TABLE OF CONTENT •Introduction •Euclid’s Definition •Euclid’s Axioms •Euclid’s Five Postulates •Theorems with Proof
- 3. INTRODUCTION • The word ‘Geometry’ comes from Greek word ‘geo’ meaning the ‘earth’ and ‘metrein’ meaning to ‘measure’. Geometry appears to have originated from the need for measuring land. • Nearly 5000 years ago geometry originated in Egypt as an art of earth measurement. Egyptian geometry was the statements of results. • The knowledge of geometry passed from Egyptians to the Greeks and many
- 4. EUCLID’S DEFINITONSSome of the definitions made by Euclid in volume I of ‘The Elements’ that we take for granted today are as follows :- A point is that which has no part . A line is breadth less length. The ends of a line are points . A straight line is that which has length only.
- 5. EUCLID’S AXIOMs SOME OF EUCLID’S AXIOMS WERE :- Things which are equal to the same thing are equal to one another. i.e. if a=c and b=c then a=b. Here a, b and c are same kind of things.
- 6. axioms If equals are subtracted, the remainders are equal. Things which coincide with one another are equal to one another. Things which are double of the same things are equal to one another Things which are halves of the same things are equal to one another.
- 7. axioms The whole is greater than the part. That is if a > b then there exists c such that a =b + c. Here, b is a part of a and therefore, a is greater than b.
- 8. EUCLID’S POSTULATES EUCLID’S POSTULATES ARE :- POSTULATE1 :- • A straight line may be drawn from any one point to any other point Axiom:- • Given two distinct points, there is a unique line that passes through them
- 9. POSTULATES POSTULATE 2 :- • A terminated line can be produced infinitely POSTULATE 3 :- • A circle can be drawn with any centre and any radius POSTULATE 4 :-
- 10. POSTULATES POSTULATE 5 :- • If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if