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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, is equal to the square of... "
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 310
1858
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 364 pages
...Therefore, if any Point be taken without a Circle, and from that Point two Right Lines fall to the Circle, one of which cuts the Circle, and the other touches it ; the Rectangle contain1d under the wbolt Secant Liaet and H , its Part between the Convexity of the Circle and the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 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 - 520 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 - 520 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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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 309 pages
...point be taken without a circle, and two ftraight lines fall from it upon the circle ; and one of them cuts the circle and the other touches it; the rectangle contained by the whole cutting line and the fegment without, taken between the point and the convex circumference, will be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...two ftraight lines, &c. Q..ED PROP. XXXVL THE OR. IF from, any point without a circle 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,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 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 ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 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 fquare 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
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 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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