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The Moments Theorem

Published online by Cambridge University Press:  31 October 2008

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If ABDC be a parallelogram, of which AD is a diagonal, and if 0 be any point which, by joining

to A, B, C, D, makes three triangles, OAB, OAD, OAC, each of these being taken as positive in sign so long as O lies within the region selected (i.e. within ABD), then:

ΔOAC – ΔOAB = ΔOAD.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1915