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On the inscription of a triangle of given shape in a given triangle

Published online by Cambridge University Press:  20 January 2009

R. E. Allardice
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§ 1. To inscribe in a triangle ABC a triangle similar to the triangle DEF, and having its sides parallel to those of DEF.

In order to inscribe in the triangle ABO (fig. 21), a triangle having its sides parallel to those of DEF, through D, E, F, draw lines parallel to the sides of ABC, and then reduce the figure A′B′C′ in the ratio BC : B′C′.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 6 , February 1887 , pp. 42 - 47
Copyright
Copyright © Edinburgh Mathematical Society 1887