Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-28T07:33:28.870Z Has data issue: false hasContentIssue false

A Simple Geometrical Device, and Some of its Applications

Published online by Cambridge University Press:  03 November 2016

Extract

Let O, A, B, C be any four points not necessarily in one plane. Let H and K divide OA and BC proportionally, while M and N divide OB and AC proportionally. Then we shall prove that HK and MN meet at T such that OA, MN, BC are proportionally divided at H, T, K, while OB, HK, AC are proportionally divided at M, T, N, the geometrical relations being conveniently, and diagrammatically, expressed thus.

Type
Research Article
Copyright
Copyright © Mathematical Association 1937

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)