SlideShare ist ein Scribd-Unternehmen logo
1 von 8
Heron of Alexandria
 He was born in 10.
 He died in 70.
 He lived in Alexandria.
 He was a Greek engineer, physicist and mathematician.
 His main work is made up of three books, "Metrica" (the science of
measurement). The first book involves measuring surface. Here you are given
Heron's famous formula for area of a triangle. The second book covers the
issues of volume calculation. The last book contains problems sharing of plane
figures and spatial remaining parts to one another in a numerical ratio.
The biggest discoveries and inventions:
 Machines for drawing water;
 Siege engines;
 The formula for area of a triangle (Heron’s formula);
 The formulas on the surface and the volume of other geometrical figures;
 Methods of estimating the elements.
Heron’s formula
 With the Heron’s formula we can calculate the area of a triangle if we know
the length of its sides.
p =
1
2
𝑎 + 𝑏 + 𝑐 -> half the perimeter of the triangle
Example
Glossary
 area – pole
 covers the issues – obejmuje zagadnienia
 estimating – szacowania
 formula - wzór
 measurement – pomiary
 numerical ratio – stosunek liczbowy
 triangle – trójkąt
 plane figures – figury płaskie
 spatial - przestrzenny
 volume calculation – obliczanie objętości
Sources:
 http://www.math.edu.pl/heron
 http://en.wikipedia.org/wiki/Hero_of_Alexandria
 http://pl.wikipedia.org/wiki/Heron_z_Aleksandrii
 http://upload.wikimedia.org/wikipedia/commons/c/ca/Heron.jpeg
 http://pl.wikipedia.org/wiki/Wz%C3%B3r_Herona
 http://bazywiedzy.com/wzor-herona.html
XX Secondary School in Gdańsk, Poland
Supervision: Agnieszka Jackiewicz
Consultation: Maria Hebel, Jolanta Chamerska
Authors: Dominika Cierocka, Karolina Matusiak

Weitere ähnliche Inhalte

Was ist angesagt?

herons formula class 9th
herons formula class 9th herons formula class 9th
herons formula class 9th Ayush Rai
 
Al khawarizmi project
Al khawarizmi projectAl khawarizmi project
Al khawarizmi projectMaryamsayed3
 
CLASS IX MATHS 6 areas of parallelogram and triangles
CLASS IX MATHS 6 areas of parallelogram and trianglesCLASS IX MATHS 6 areas of parallelogram and triangles
CLASS IX MATHS 6 areas of parallelogram and trianglesRc Os
 
Interesections presentation
Interesections presentation Interesections presentation
Interesections presentation Sameer Shah
 
Elizabeth Broden’S Potw
Elizabeth Broden’S PotwElizabeth Broden’S Potw
Elizabeth Broden’S Potwguest280997
 
history of conics
history of conicshistory of conics
history of conicskanikab1
 
Coordinate Geometry
Coordinate GeometryCoordinate Geometry
Coordinate GeometryTanyaSyngle
 
Pythagorean theorem
Pythagorean theoremPythagorean theorem
Pythagorean theoremSEV VARGHESE
 
History of geometry
History of geometryHistory of geometry
History of geometryantonyge68
 
The Pythagoras Theorem
The Pythagoras TheoremThe Pythagoras Theorem
The Pythagoras TheoremHome
 

Was ist angesagt? (17)

Heron’s formula
Heron’s formulaHeron’s formula
Heron’s formula
 
herons formula class 9th
herons formula class 9th herons formula class 9th
herons formula class 9th
 
Heron
HeronHeron
Heron
 
pi
pipi
pi
 
Herons formula
Herons formulaHerons formula
Herons formula
 
Al khawarizmi project
Al khawarizmi projectAl khawarizmi project
Al khawarizmi project
 
CLASS IX MATHS 6 areas of parallelogram and triangles
CLASS IX MATHS 6 areas of parallelogram and trianglesCLASS IX MATHS 6 areas of parallelogram and triangles
CLASS IX MATHS 6 areas of parallelogram and triangles
 
Interesections presentation
Interesections presentation Interesections presentation
Interesections presentation
 
Elizabeth Broden’S Potw
Elizabeth Broden’S PotwElizabeth Broden’S Potw
Elizabeth Broden’S Potw
 
math project
 math project math project
math project
 
history of conics
history of conicshistory of conics
history of conics
 
Coordinate Geometry
Coordinate GeometryCoordinate Geometry
Coordinate Geometry
 
Gauss ppt
Gauss pptGauss ppt
Gauss ppt
 
Archimedes
ArchimedesArchimedes
Archimedes
 
Pythagorean theorem
Pythagorean theoremPythagorean theorem
Pythagorean theorem
 
History of geometry
History of geometryHistory of geometry
History of geometry
 
The Pythagoras Theorem
The Pythagoras TheoremThe Pythagoras Theorem
The Pythagoras Theorem
 

Ähnlich wie PO WER - XX LO Gdańsk - Heron of Alexandria

history in math_1.pptx
history in math_1.pptxhistory in math_1.pptx
history in math_1.pptxBethyOnam
 
history of trigonometry
history of trigonometry history of trigonometry
history of trigonometry Daisy Joy
 
TRIGONOMETRY
TRIGONOMETRYTRIGONOMETRY
TRIGONOMETRYRoyB
 
Yash group Maths PPT for class IX
Yash group  Maths PPT for class IXYash group  Maths PPT for class IX
Yash group Maths PPT for class IXYash Jangra
 
Three dimensional space dfs-new
Three dimensional space  dfs-newThree dimensional space  dfs-new
Three dimensional space dfs-newFarhana Shaheen
 
Trigonometry
TrigonometryTrigonometry
TrigonometryAyush Ps
 
trigonometry and applications
 trigonometry and applications  trigonometry and applications
trigonometry and applications Sanchit Nagpal
 
Trigonometry - The Six Trigonometric Ratios
Trigonometry - The Six Trigonometric RatiosTrigonometry - The Six Trigonometric Ratios
Trigonometry - The Six Trigonometric RatiosREYBETH RACELIS
 
A Short History of the Cartesian Coordinates
A Short History of the Cartesian CoordinatesA Short History of the Cartesian Coordinates
A Short History of the Cartesian Coordinates4dlab_slides
 
New microsoft power point presentation
New microsoft power point presentationNew microsoft power point presentation
New microsoft power point presentationRajat Agrawal
 
New microsoft power point presentation
New microsoft power point presentationNew microsoft power point presentation
New microsoft power point presentationRajat Agrawal
 
Ancient mathematics
Ancient mathematicsAncient mathematics
Ancient mathematicsIndhu Priya
 

Ähnlich wie PO WER - XX LO Gdańsk - Heron of Alexandria (20)

Geometry
GeometryGeometry
Geometry
 
Geometry2
Geometry2Geometry2
Geometry2
 
Mathematics
MathematicsMathematics
Mathematics
 
history in math_1.pptx
history in math_1.pptxhistory in math_1.pptx
history in math_1.pptx
 
history of trigonometry
history of trigonometry history of trigonometry
history of trigonometry
 
Trigonometry
TrigonometryTrigonometry
Trigonometry
 
TRIGONOMETRY
TRIGONOMETRYTRIGONOMETRY
TRIGONOMETRY
 
maths_ppt.pptx
maths_ppt.pptxmaths_ppt.pptx
maths_ppt.pptx
 
Yash group Maths PPT for class IX
Yash group  Maths PPT for class IXYash group  Maths PPT for class IX
Yash group Maths PPT for class IX
 
Three dimensional space dfs-new
Three dimensional space  dfs-newThree dimensional space  dfs-new
Three dimensional space dfs-new
 
Trigonometry
TrigonometryTrigonometry
Trigonometry
 
trigonometry and applications
 trigonometry and applications  trigonometry and applications
trigonometry and applications
 
English for Math
English for MathEnglish for Math
English for Math
 
Trigonometry - The Six Trigonometric Ratios
Trigonometry - The Six Trigonometric RatiosTrigonometry - The Six Trigonometric Ratios
Trigonometry - The Six Trigonometric Ratios
 
A Short History of the Cartesian Coordinates
A Short History of the Cartesian CoordinatesA Short History of the Cartesian Coordinates
A Short History of the Cartesian Coordinates
 
New microsoft power point presentation
New microsoft power point presentationNew microsoft power point presentation
New microsoft power point presentation
 
New microsoft power point presentation
New microsoft power point presentationNew microsoft power point presentation
New microsoft power point presentation
 
Geometry3
Geometry3Geometry3
Geometry3
 
Contributors
ContributorsContributors
Contributors
 
Ancient mathematics
Ancient mathematicsAncient mathematics
Ancient mathematics
 

Mehr von Agnieszka J.

Polish water resources
Polish water resourcesPolish water resources
Polish water resourcesAgnieszka J.
 
The role of water in our life
The role of water in our lifeThe role of water in our life
The role of water in our lifeAgnieszka J.
 
Methodology & Tools CLIL
Methodology & Tools CLIL Methodology & Tools CLIL
Methodology & Tools CLIL Agnieszka J.
 
Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"
Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"
Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"Agnieszka J.
 
Results of tobacco use survey in XX LO Gdańsk
Results of tobacco use survey in XX LO GdańskResults of tobacco use survey in XX LO Gdańsk
Results of tobacco use survey in XX LO GdańskAgnieszka J.
 
Erasmus + Hungary, XX LO Gdańsk
Erasmus + Hungary, XX LO GdańskErasmus + Hungary, XX LO Gdańsk
Erasmus + Hungary, XX LO GdańskAgnieszka J.
 
PO WER - XX LO Gdańsk - Vieta's formulas
PO WER - XX LO Gdańsk - Vieta's formulasPO WER - XX LO Gdańsk - Vieta's formulas
PO WER - XX LO Gdańsk - Vieta's formulasAgnieszka J.
 
PO WER - XX LO Gdańsk - Mathematical problems
PO WER - XX LO Gdańsk - Mathematical problemsPO WER - XX LO Gdańsk - Mathematical problems
PO WER - XX LO Gdańsk - Mathematical problemsAgnieszka J.
 
PO WER - XX LO Gdańsk - Thales - tasks
PO WER - XX LO Gdańsk - Thales - tasksPO WER - XX LO Gdańsk - Thales - tasks
PO WER - XX LO Gdańsk - Thales - tasksAgnieszka J.
 
PO WER - XX LO Gdańsk - Pythagoras - mathematical problems
PO WER - XX LO Gdańsk - Pythagoras - mathematical problemsPO WER - XX LO Gdańsk - Pythagoras - mathematical problems
PO WER - XX LO Gdańsk - Pythagoras - mathematical problemsAgnieszka J.
 
PO WER - XX LO Gdańsk - Francois Viete - mathematical problems
PO WER - XX LO Gdańsk - Francois Viete - mathematical problemsPO WER - XX LO Gdańsk - Francois Viete - mathematical problems
PO WER - XX LO Gdańsk - Francois Viete - mathematical problemsAgnieszka J.
 
PO WER - XX LO Gdańsk - Why is our environment important?
PO WER - XX LO Gdańsk - Why is our environment important? PO WER - XX LO Gdańsk - Why is our environment important?
PO WER - XX LO Gdańsk - Why is our environment important? Agnieszka J.
 
PO WER - XX LO Gdańsk - Environment protection
PO WER - XX LO Gdańsk - Environment protection PO WER - XX LO Gdańsk - Environment protection
PO WER - XX LO Gdańsk - Environment protection Agnieszka J.
 
PO WER - XX LO Gdańsk - Let's save the Earth
PO WER - XX LO Gdańsk - Let's save the EarthPO WER - XX LO Gdańsk - Let's save the Earth
PO WER - XX LO Gdańsk - Let's save the EarthAgnieszka J.
 
PO WER - XX LO Gdańsk - Environmental protection
PO WER - XX LO Gdańsk - Environmental protectionPO WER - XX LO Gdańsk - Environmental protection
PO WER - XX LO Gdańsk - Environmental protectionAgnieszka J.
 
PO WER - XX LO Gdańsk - Environmental protection in Pomerania Province
PO WER - XX LO Gdańsk - Environmental protection in Pomerania ProvincePO WER - XX LO Gdańsk - Environmental protection in Pomerania Province
PO WER - XX LO Gdańsk - Environmental protection in Pomerania ProvinceAgnieszka J.
 
PO WER - XX LO Gdańsk - Mathematics and treatment of cancer
PO WER - XX LO Gdańsk - Mathematics and treatment of cancerPO WER - XX LO Gdańsk - Mathematics and treatment of cancer
PO WER - XX LO Gdańsk - Mathematics and treatment of cancerAgnieszka J.
 

Mehr von Agnieszka J. (20)

Sports in the UK
Sports in the UKSports in the UK
Sports in the UK
 
Water in legends
Water in legends Water in legends
Water in legends
 
Polish water resources
Polish water resourcesPolish water resources
Polish water resources
 
Shipyard
ShipyardShipyard
Shipyard
 
The role of water in our life
The role of water in our lifeThe role of water in our life
The role of water in our life
 
Methodology & Tools CLIL
Methodology & Tools CLIL Methodology & Tools CLIL
Methodology & Tools CLIL
 
Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"
Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"
Interim evaluation of the project Erasmus + "Eat-Compete-Get Fit"
 
Results of tobacco use survey in XX LO Gdańsk
Results of tobacco use survey in XX LO GdańskResults of tobacco use survey in XX LO Gdańsk
Results of tobacco use survey in XX LO Gdańsk
 
Erasmus + Hungary, XX LO Gdańsk
Erasmus + Hungary, XX LO GdańskErasmus + Hungary, XX LO Gdańsk
Erasmus + Hungary, XX LO Gdańsk
 
PO WER - XX LO Gdańsk - Vieta's formulas
PO WER - XX LO Gdańsk - Vieta's formulasPO WER - XX LO Gdańsk - Vieta's formulas
PO WER - XX LO Gdańsk - Vieta's formulas
 
PO WER - XX LO Gdańsk - Mathematical problems
PO WER - XX LO Gdańsk - Mathematical problemsPO WER - XX LO Gdańsk - Mathematical problems
PO WER - XX LO Gdańsk - Mathematical problems
 
PO WER - XX LO Gdańsk - Thales - tasks
PO WER - XX LO Gdańsk - Thales - tasksPO WER - XX LO Gdańsk - Thales - tasks
PO WER - XX LO Gdańsk - Thales - tasks
 
PO WER - XX LO Gdańsk - Pythagoras - mathematical problems
PO WER - XX LO Gdańsk - Pythagoras - mathematical problemsPO WER - XX LO Gdańsk - Pythagoras - mathematical problems
PO WER - XX LO Gdańsk - Pythagoras - mathematical problems
 
PO WER - XX LO Gdańsk - Francois Viete - mathematical problems
PO WER - XX LO Gdańsk - Francois Viete - mathematical problemsPO WER - XX LO Gdańsk - Francois Viete - mathematical problems
PO WER - XX LO Gdańsk - Francois Viete - mathematical problems
 
PO WER - XX LO Gdańsk - Why is our environment important?
PO WER - XX LO Gdańsk - Why is our environment important? PO WER - XX LO Gdańsk - Why is our environment important?
PO WER - XX LO Gdańsk - Why is our environment important?
 
PO WER - XX LO Gdańsk - Environment protection
PO WER - XX LO Gdańsk - Environment protection PO WER - XX LO Gdańsk - Environment protection
PO WER - XX LO Gdańsk - Environment protection
 
PO WER - XX LO Gdańsk - Let's save the Earth
PO WER - XX LO Gdańsk - Let's save the EarthPO WER - XX LO Gdańsk - Let's save the Earth
PO WER - XX LO Gdańsk - Let's save the Earth
 
PO WER - XX LO Gdańsk - Environmental protection
PO WER - XX LO Gdańsk - Environmental protectionPO WER - XX LO Gdańsk - Environmental protection
PO WER - XX LO Gdańsk - Environmental protection
 
PO WER - XX LO Gdańsk - Environmental protection in Pomerania Province
PO WER - XX LO Gdańsk - Environmental protection in Pomerania ProvincePO WER - XX LO Gdańsk - Environmental protection in Pomerania Province
PO WER - XX LO Gdańsk - Environmental protection in Pomerania Province
 
PO WER - XX LO Gdańsk - Mathematics and treatment of cancer
PO WER - XX LO Gdańsk - Mathematics and treatment of cancerPO WER - XX LO Gdańsk - Mathematics and treatment of cancer
PO WER - XX LO Gdańsk - Mathematics and treatment of cancer
 

Kürzlich hochgeladen

MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docxPoojaSen20
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
Concept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfConcept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfUmakantAnnand
 
Introduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher EducationIntroduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher Educationpboyjonauth
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdfssuser54595a
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)eniolaolutunde
 
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Celine George
 
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxContemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxRoyAbrique
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 
PSYCHIATRIC History collection FORMAT.pptx
PSYCHIATRIC   History collection FORMAT.pptxPSYCHIATRIC   History collection FORMAT.pptx
PSYCHIATRIC History collection FORMAT.pptxPoojaSen20
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfchloefrazer622
 

Kürzlich hochgeladen (20)

MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docx
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
Concept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfConcept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.Compdf
 
Introduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher EducationIntroduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher Education
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)
 
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
 
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxContemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
Staff of Color (SOC) Retention Efforts DDSD
Staff of Color (SOC) Retention Efforts DDSDStaff of Color (SOC) Retention Efforts DDSD
Staff of Color (SOC) Retention Efforts DDSD
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
PSYCHIATRIC History collection FORMAT.pptx
PSYCHIATRIC   History collection FORMAT.pptxPSYCHIATRIC   History collection FORMAT.pptx
PSYCHIATRIC History collection FORMAT.pptx
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 

PO WER - XX LO Gdańsk - Heron of Alexandria

  • 2.  He was born in 10.  He died in 70.  He lived in Alexandria.  He was a Greek engineer, physicist and mathematician.  His main work is made up of three books, "Metrica" (the science of measurement). The first book involves measuring surface. Here you are given Heron's famous formula for area of a triangle. The second book covers the issues of volume calculation. The last book contains problems sharing of plane figures and spatial remaining parts to one another in a numerical ratio.
  • 3. The biggest discoveries and inventions:  Machines for drawing water;  Siege engines;  The formula for area of a triangle (Heron’s formula);  The formulas on the surface and the volume of other geometrical figures;  Methods of estimating the elements.
  • 4. Heron’s formula  With the Heron’s formula we can calculate the area of a triangle if we know the length of its sides. p = 1 2 𝑎 + 𝑏 + 𝑐 -> half the perimeter of the triangle
  • 6. Glossary  area – pole  covers the issues – obejmuje zagadnienia  estimating – szacowania  formula - wzór  measurement – pomiary  numerical ratio – stosunek liczbowy  triangle – trójkąt  plane figures – figury płaskie  spatial - przestrzenny  volume calculation – obliczanie objętości
  • 7. Sources:  http://www.math.edu.pl/heron  http://en.wikipedia.org/wiki/Hero_of_Alexandria  http://pl.wikipedia.org/wiki/Heron_z_Aleksandrii  http://upload.wikimedia.org/wikipedia/commons/c/ca/Heron.jpeg  http://pl.wikipedia.org/wiki/Wz%C3%B3r_Herona  http://bazywiedzy.com/wzor-herona.html
  • 8. XX Secondary School in Gdańsk, Poland Supervision: Agnieszka Jackiewicz Consultation: Maria Hebel, Jolanta Chamerska Authors: Dominika Cierocka, Karolina Matusiak