( Greek γεωμετρία ; geo = earth, metria = measure)
23
• (Greek γεωμετρία; geo = earth, metria = measure) • developed to meet practical needs in surveying , construction , and astronomy
description
Timeline of Geometry. ( Greek γεωμετρία ; geo = earth, metria = measure) developed to meet practical needs in surveying , construction , and astronomy. 25,000 BC. Paleolithic Period Cro-Magnon men made primitive geometrical designs. 2000-500 BC. Egyptians and Babylonians. - PowerPoint PPT Presentation
Transcript of ( Greek γεωμετρία ; geo = earth, metria = measure)
• (Greek γεωμετρία; geo = earth, metria = measure)
• developed to meet practical needs in surveying, construction, and astronomy
25,000 BC
Paleolithic PeriodCro-Magnon men made primitive geometricaldesigns
2000-500 BC
Egyptians and Babylonians
could compute pythagoreantheorem & area but used“trial & error”; not logicallydeduced; Egyptians usedgeometry for taxing land afterthe Nile flooded each year
800 BC
India
used geo. constructionsto solve linear/quadraticequations; est. pi to 5decimal places
600 BC
Thales of Miletus
Greeks:
brought the science ofgeometry from Egyptto Greece. Thales is frequently credited with developing 5 theorems of elementary geometry.
450 BC
Pythagorus
The 1st to logically deducegeometric facts from basicprinciples. Derived sum ofangles of triangles & thepythagorean theorem.
400 BC
Hippocrates
Wrote the 1st
“Elements ofGeometry”. HippocraticOath
300 BC
Plato
Emphasizedproofs & concisedefinitions. Platonicsolids
300 BC
EuclidFather of Geometry -collected theoremsfrom predecessors &wrote 13-book treatise.
250 BC
Archimedes
The greatest of allGreek mathematicians-invented the screw, thepulley, & the lever.
200 BC
Appollonius
Famous forwork in conics.
150 BC
Hypsicles
described the 360Parts of a circle asdegrees.
140 BC
Hipparchus
Famous for workin trigonometry.
50 AD
Heron
Wrote“Metrica”(plane &3-D objects)
100 AD
Ptolemy
Geometry ofplanetary motion
120 AD
Chang Hong
Calculated pi to be3.1555
Hypatia
400 AD
1st woman tosignificantly contribute tomathematics.
Widmann
1489 AD
1st mathematicianTo use the notation+ and -.
1600 AD
Coordinate Geometry:
Rene Descartes: Made one of the greatest advances in geometry by connecting algebra and geometry. A myth is that he was watching a fly on the ceiling when he conceived of locating points on a plane with a pair of numbers. Maybe this has something to do with the fact that he stayed in bed everyday until 11:00 A.M. Fermat also discovered coordinate geometry, but it's Descartes' version that we use today.
1706 AD
William Jones was the first
to use the π symbol to denote the
periphery (circumference) of a
circle with a diameter of 1.
early 1800’sNon-Euclidean Geometries
Since mathematicians couldn't prove the 5th postulate, they devised new geometries with "strange" notions of parallelism. (A geometry with no parallel lines?!?) Bolyai and Lobachevsky are credited with devising the first non-euclidean geometries.
late 1800’s – 1900
Differential geometry: combines geometry with the techniques of calculus to provide a method for studying geometry on curved surfaces.
Fractal geometry: geometric figures that model many natural structures like ferns or clouds. The invention of computers has greatly aided the study of fractals since many calculations are required.
