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§8. Area

Published online by Cambridge University Press:  20 January 2009

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Proceedings of the Edinburgh Mathematical Society , Volume 1 , February 1883 , pp. 117 - 128
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Copyright © Edinburgh Mathematical Society 1883

References

* Whatever be the shape of the triangle one of the perpendiculars will alway: fall inside the triangle. Let that perpendicular be AX.

* Terquem, in Nouvellcs Annales, III. 219–220 (1844)Google Scholar. The method is also applied by Terquem to find the expression for the area of a cyclic quadrilateral, and it had previously been applied by Cirodde, P. L. in Nouvelles Annales, I. 117 (1842)Google Scholar, to find the volume of a spherical segment when it is known that the volume a function of the third degree of its height.