Dr. @njwildberger I am thoroughly enjoying and learning a lot in true spirit of mathematics. I've started your math history lectures along with reading the wonderful book by John Stillwell. Please can you explain and provide resources to answer that what was the thought process and ideas which layed the foundation of conic section? I mean how did Apollonius and his precursors thought about cutting the two cones with planes and studied the shapes it generates? And what about cutting the cones with spheres and other curved surfaces?
I love this series so much! Thank you!
Glad you enjoy it!
This is so beautiful.................. Such gratitude towards you for making it all available
Excellent… one professor Wildberger
Dr. @njwildberger I am thoroughly enjoying and learning a lot in true spirit of mathematics. I've started your math history lectures along with reading the wonderful book by John Stillwell. Please can you explain and provide resources to answer that what was the thought process and ideas which layed the foundation of conic section? I mean how did Apollonius and his precursors thought about cutting the two cones with planes and studied the shapes it generates? And what about cutting the cones with spheres and other curved surfaces?
Please have a look at the beginning of the Universal Hyperbolic Geometry series of lectures, where conics and Apollonius also figure prominently
This is magic 🙂