NDLI: Note on a property of a quadrilateral

Content Provider	Scilit
Author	Steggall, J. E. A.
Copyright Year	1891
Description	The property is that if any quadrilateral, ABCD, skew or otherwise, have its sides AB, DC divided in E, F so that AE : EB = DF : FC = AD : BO then the direction of the line EF shall bisect the angle between the directions of BC, AD. This extension of Euclid's VI. 3 follows immediately from the proposition that if AE : EB = DF : FC, then all such lines as EF are parallel to one plane, namely, the plane parallel to BC, AD; and that they each cut similar lines drawn with reference to BC, AD.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CC9C4A956D3468C463DF56C9688B0306/S0013091500031084a.pdf/div-class-title-note-on-a-property-of-a-quadrilateral-div.pdf
Ending Page	95
Page Count	2
Starting Page	94
ISSN	00130915
e-ISSN	14643839
DOI	10.1017/s0013091500031084
Journal	Proceedings of the Edinburgh Mathematical Society
Volume Number	10
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1891-02-01
Access Restriction	Open
Subject Keyword	Proceedings of the Edinburgh Mathematical Society
Content Type	Text
Subject	Mathematics

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Note on a property of a quadrilateral