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Note on Euclid II. 11.

Published online by Cambridge University Press:  20 January 2009

Hon Hugh C. E. Childers
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[The foflowing method of dividing a straight line in medial section was communicated to Mr Munn of the Edinburgh High School, by the Right Hon. Hugh C. E. Childers in January last.]

Let AB be the line. (Fig 56).

Draw AC = ½AB, and at right angles to it. Join CB. Bisect the angle ACB with CD, cutting AB at D. Draw DE at right angles to CB. Then the triangles CAD, CED are equal, and AD = DE. Draw a circle with DA and DE radii, cutting AB at F.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , February 1885 , pp. 60
Copyright
Copyright © Edinburgh Mathematical Society 1885