Fagnano’s theorem: alternative proof

Rane, Ujjawal (2017) Fagnano’s theorem: alternative proof. At Right Angles, 6 (3). pp. 50-52. ISSN 2582-1873

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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
Authors: Rane, Ujjawal
Document Language:
Language
English
Uncontrolled Keywords: Geometry, Fagnano’s theorem, Optimization, Minimization, Perimeter
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjifoundation.org/id/eprint/1393
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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