A New Proof of the Lester’s Perimeter Theorem in Euclidean Space
2020 ◽
Vol 8
(2)
◽
pp. 57-59
An injection defined from Euclidean space n-space E^n to itself which preserves the triangles of perimeter 1 is an Eucldean motion. J. Lester gave two different proofs for this theorem in Euclidean plane [1] and Euclidean space [2]. In this study a new technique is developed for the proof of this theorem which is valid in both Euclidean plane and Euclidean space.
Keyword(s):
Keyword(s):
2005 ◽
Vol 25
(1_suppl)
◽
pp. S543-S543