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If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square...
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 167
by Euclides, James Hamblin Smith - 1872 - 349 pages

## Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...lines be drawn, one of which cuts the circle, and the other touches it, the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. If two chords AB, AC be drawn from any point...

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

Robert Potts - Geometry, Plane - 1860 - 380 pages
...be drawn, one of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which cuts the circle, and the part of it without the circle, 'in. II be equal to the square on the line which touches it. Let D be any point without the circle...

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

Euclides - 1861 - 464 pages
...drawn two lines, one of which cuts the circle and the other meets it; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, bo equal to the square of the line which meets it, the line which meets it shall touch the circle....

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

Euclides - 1862 - 172 pages
...lines be drawn, one of which cuts the circle, and the other touches it; then the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. (References — Prop. i. 12, 47 ; n. 6 ;...

## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by tlte whole line which cuts the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. (References— Prop. I. 12, 47; II. 6; III....

## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight...

## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...rectangle contained by the whole line which cuts the circle. and the part of it without the circle, thall be equal to the square on the line which touches it. Let D be any point without the circle ABC, and let DC A, DB be two straight lines drawn from it, of which DCA cuts...

## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...circle, but does not pass through the centre, and the other touches it, the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square of the line which touches the circle. Two circles intersect, AB is their common...