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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 geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...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...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 - 1775 - 520 Seiten
...&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...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 Seiten
...&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...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 - 1781 - 309 Seiten
...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 ...

John Playfair - 1795 - 400 Seiten
...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 - 1799 - 351 Seiten
...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...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: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 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 - 1804 - 470 Seiten
...circle there be drawn two ftraight 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, be equal to the fquare of the line which meets it, the line which meets fhall touch the circle. b is....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...D. 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...equal to the square of the line which touches it. Let D be any point without the circle ABC, and DCA, PB two straight lines drawn from it, of which DCA...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...the other meets the circle, and that the rectangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; d37. 3. the straight line BD touches d the circle ACD ; and because BD touches...
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