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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

## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...the convex part of the circumference, the least is that which produced passes through the centre ; and of the rest, that which is nearer to the least is less than the more remote : and only two of either set of straight lines are equal, one being on each...

## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 318 pages
...nearer to that through the centre is always greater than the more remote ; But of those which fall upon the convex circumference, the least is that between...the more remote : And only two equal straight lines canbf drawn from the point tuto the circumference, one upon each side of the least. Let ABC be a circle,...

## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...falling on the convex circumference and less than any of those falling on the concave circumference. And only two equal straight lines can be drawn from the point to the circumference, one upon each side of the shortest line. Let D (Pig. 23) be a point without a...

## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 332 pages
...is nearer to that through the centre is always greater than the more remote; But of those which fall upon the convex circumference, the least is that between...the point unto the circumference, one upon each side offhe least. Let ABC be a circle, and D any point without it, from -which let the straight lines DA,...

## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...nearer to that through the centre is always greater than the more remote ; but of those which fall upon the convex circumference, the least is that between...two equal straight lines can be drawn from the point to the circumference, one upon each side of the least. Given a circle ABC, and D any point without...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...center is always greater than one more remote: but of those which fall upon the convex part of the circumference, the least is that between the point...that which is nearer to the least is always less than one more remote; and only two equal straight lines can be drawn from the same point to the circumference,...

## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...remote; but, 3rd, of those which fall upon the convex circumference, the least is that between the given point without the circle and the diameter, and of...that which is nearer to the least is always less than one more remote ; and, íth, only two equal lines can be drawn from the same point to the circumference,...

## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...the one passing through the centre, is always greater than one more remote ; but of those which fall upon the convex circumference, the least is that between...that which is nearer to the least is always less than one more remote ; and onlu two equal straight lines can be drawn from the same point to the circumference,...