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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... "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Page 96
by Euclid, Robert Simson - 1829 - 516 pages
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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....
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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 ;...
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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....
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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...
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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...
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Calendar

University of Cambridge - 1864 - 694 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 from a given point A without a given...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cult the circle. and the part of it without the circle, be equal to the square on the line which meets it, the line which meets, shall touch the circle, Let any point D be taken...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - Mathematics - 1864 - 234 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 from a given point A without a given...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to the square on the line which touches it. Let D be any point...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...lines be drawn, one of which cuts the circle, and the othar touches it ; the 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,...
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