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" ... than the more remote: but of those which fall upon the convex circumference, the least is that between the point without the circle and the diameter; and, of the rest, that which is nearer to the least is always less than the more remote: and only... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 64
by Euclid - 1835 - 513 pages
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Apollonius of Perga's Conica: Text, Context, Subtext

Michael N. Fried - History - 2001 - 516 pages
...on the convex circumference, that between the point and the diameter is least, while of the rest the nearer to the least is always less than the more remote, and only two equal straight lines will fall on the circle from the point, one on each side of the least." So, DA passing through the...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...on the convex circumference, that between the point and the diameter is least, while of the rest the nearer to the least is always less than the more remote, and only two equal straight lines will fall on the circle from the point, one on each side of the least. Let ABC be a circle, and let...
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...on the convex circumference, that between the point and the diameter is least, while of the rest the nearer to the least is always less than the more remote, and only two equal straight lines will fall on the circle from the point, one on each side of the least. This very long enunciation,...
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