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Triangles with Sides and Medians Commensurable

Published online by Cambridge University Press:  03 November 2016

Extract

It is economical in the use of symbols to express the sides of a triangle fractionally, by dividing the expressions for a, b, c given in my previous Note (Gazette, XXIII, October, 1939, Note 1398, p. 380) by qy. Thus writing h for x/y and K for p/q, we have

a = hk + hk + 1,

b = hkh + k + 1,

c = 2(h + k),

and n = hk − 1,

where l, m, n are the medians bisecting a, b, c.

Type
Research Article
Copyright
Copyright © Mathematical Association 1939

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