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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... "
Constructive Geometry of Plane Curves: With Numerous Examples - Page 32
by Thomas Henry Eagles - 1885 - 374 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...if two ftraight lines, &c. C^ED PROP. XXXVI. THEO R. TF from any point without a circle two ftraight lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, {hall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...Wherefore, if two ftraight lines, &c. D PROP. XXXVI. THEO R. Ffrom any point without a circle two ftraight lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, fliall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...Wherefore, if two ftraight lines, &c. PROP. XXXVL THEO R. IF from any point without a circle two ftraight lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, fhall be equal to the fquarc of the line which touches it. Let D be any point without the circle ABC,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the reftangle contained by the whole line which cuts the circle, and the part of ,t without the circle, fhall be equal to the fquare of the line which touches it. Let D be any point...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...two ftraight lines, &c. O^ED a PROP. XXXVI. THEOR. IF from any point without a circle, two ftraight lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, fhall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...two ftraight lines, &c. Q^ ED PROP. XXXVI. THEO R. IF from any point without a circle two ftraight lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, is equal to the fqua°re of the line which touches it. Let D be any point without the circle ABC, and...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...THEOR. IF from any point without a circle two ftraight lines be drawn, one of which cuts the circle, snd the other touches it ; the rectangle contained by...the circle, and the part of it without the circle, fhall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...EC is equal to the rectangle Bli, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines...it without the circle, shall be equal to the square of the line which touches it. b6.2. c 47. 1. Let D be any point without the circle ABC, and DC A, DB...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...and BE.ED = GE.EH, AE.EC = BE.ED, Wherefore, if two straight lines, &c. Q. E, D. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines...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 the circle ABC, and...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...of them is equal to ihe rectanele contained by the segments of the other. cut» ttic cireíe, arid the part of it without the circle, shall be equal to the square of the line which torirheü it. ¥ op. XXXVII. Theor. If froto a point without a circle there be drawn...
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