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Triangles with Sides and Medians Commensurable
Published online by Cambridge University Press: 03 November 2016
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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 + h − k + 1,
b = hk − h + k + 1,
c = 2(h + k),
and n = hk − 1,
where l, m, n are the medians bisecting a, b, c.
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- Copyright © Mathematical Association 1939