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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... "
Euclid's Elements of geometry: from the Latin translation of Commandine. To ... - Page 97
by John Keill - 1723 - 364 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 pages
...the other ; which was to be demonftrated. PROPOSITION XXXVJ. • i • ^ ; * •' THEORE M. Jf fame Point be taken without a Circle, and from that Point...Right Lines fall to the Circle, one of which cuts the Circlet and the other touches it ; the Rectangle contained under the "whole Secant Line, and its Part...
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...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 other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, {hall be...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...PROP. XXXVII. THE OR. If any point be taken .without a circle, and two right lines he drawn from it to the circle, one of which cuts the circle, and the other meets it, and tbs reclangle contained under the whole fecant [or cutting line] and the exterior part...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 399 pages
...the other ; which was to be demonftrated. PROPOSITION XXXVI. THEOREM. If fame Point be taken witbout a Circle, and from that Point two Right Lines fall to the Circle, one of -tvhicb cuts the Circle, and the other touchfs it ; the Reclangle contained under the wbole Secant...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...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 other touches it ; the rectangle contained by the whole line •which cuts the circle, and the part of it without the circle, fliall...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...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 other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, fhall be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...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 ...

Trigonometry - 1799 - 351 pages
...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 other touches it ; the .rectangle contained by the whole line which cuts the circle, and the part of it without the circle, fhall be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...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 other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - Geometry - 1816 - 528 pages
...lines, &c. QED PROP. XXXVI. THEOR. 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...
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