INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More 

August 14, 2014

Homological Triangles: Mathematics in Summer 2014

This is a session plan for 'Mathematics in Summer 2014'. (Venue: Scotland, Glasgow). Let's discuss Homological Triangles.

  • Introduction to homological triangles, perspectivities. Menalaus' Theorem, Desargues Theorem
  • Anti parallel lines, some examples of homological triangles, homothety as a special case of homology, cevian, orthic triangle, some basic properties of angle bisectors'
  • Special Triangles and points: anti-supplemental triangle, K-Symmedian Triangle, Carnot's Theorem and the Lemoine Line
  • Special Triangles Continued: Tangential Triangle, Contact Triangle, Gergonne's point, Cotangent triangle, Nagel Line
  • Revisit to all the topics.

Reference Books (for later use)

  • The geometry of homological triangles by Florentin and Petrescu
  • Projective Geometry by Coxeter
in London, toward Glasgow

in London, toward Glasgow

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.