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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... "
A School Course of Mathematics - Page 235
by David Mair - 1907 - 379 pages
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...difference of two adjacent sides is given. 3. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and the other...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...BE. ED. PROP. XXXVI. THEOR. B Jf from any point without a circle two straight lines be drawn, one iif which cuts the circle, and the other touches it; the...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 it. Let D be any point without...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh cuts the circle, and the other touches it ; the rectangle...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. If any line is...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...2. 8 9 Cone. РROP. 36. — THEOR. (Important.) If from any point without a circle two st. lines be drawn, one of which cuts the circle, and the other...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. Cox. 10,1. 1,II1....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...a circle, two straight 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 —...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...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...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - Mathematics - 1864 - 234 pages
...together be equal to the square on the third. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...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...
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Calendar

University of Cambridge - 1864 - 694 pages
...together be equal to the square on the third. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...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...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...circle two Straight lines be drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, the rectangle contained...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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...any point without a circle tico straight 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...
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