Greek Geometry - Apollonius, Conic Sections, and Pappus' Theorem

Explore the fascinating world of ancient Greek geometry in this 25-minute lecture from the Math History series. Delve into the groundbreaking work of Apollonius on conic sections, including ellipses, parabolas, and hyperbolas. Learn about key concepts like pole and polar, and discover the elegant relationship between points and lines in conic sections. Examine the cone approach to conic sections, attributed to Dandelin in the 19th century. Investigate the contributions of Pappus, including his famous theorem that laid the foundation for projective geometry. Gain insights into the systematic treatment of planar and three-dimensional geometry that made Euclid's Elements the cornerstone of mathematical education for two millennia.

Introduction to Greek Geometry
Apollonius 200 BC- Conic sections
Pole and Polar
Determining the polar line
If X lies on the polar line of Y, then Y lies on the polar line of X
Cone approach to conic sections Dandelin-19th Century
Pappus 100 AD
Pappus' theorem projective geometry!