Fagnano’s theorem: alternative proof

Rane, Ujjawal (2017) Fagnano’s theorem: alternative proof. At right Angles, 6 (3). pp. 50-52.

[img]
Preview
Text - Published Version
Download (238kB) | Preview

Abstract

Fagnano’s Problem: In 1775, Giovanni Fagnano posed and solved the problem - “For a given acute angled triangle, determine the inscribed triangle of minimum perimeter.” Using calculus, Fagnano showed the solution to be the Orthic Triangle – a triangle formed by the feet of the three altitudes.

Item Type: Articles in APF Magazines
Uncontrolled Keywords: Geometry, Fagnano’s theorem, Optimization, Minimization, Perimeter
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 18 Sep 2018 13:32
Last Modified: 25 Sep 2018 13:27
URI: http://publications.azimpremjifoundation.org/id/eprint/1393
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

Actions (login required)

View Item View Item