Greek Geometry (b) | Math History | NJ Wildberger

Описание: The ancient Greeks loved geometry and made great advances in this subject. Euclid's Elements was for 2000 years the main text in mathematics, giving a careful systematic treatment of both planar and three-dimensional geometry, culminating in the five Platonic solids.
Apollonius made a thorough study of conics: ellipse, parabola and hyperbola. Constructions played a key role, using straightedge and compass.

This is one of a series of lectures on the History of Mathematics by Assoc. Prof. N J Wildberger at UNSW.

Video Contents:
00:00 Introduction to Greek Geometry
00:30 Apollonius (200 BC)- Conic sections
07:16 Pole and Polar
10:50 Determining the polar line
12:48 If X lies on the polar line of Y, then Y lies on the polar line of X
15:10 Cone approach to conic sections (Dandelin-19th Century)
19:42 Pappus (100 AD)
21:34 Pappus' theorem (projective geometry!)

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