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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 84
por John Playfair - 1855 - 318 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 páginas
...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 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 páginas
...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. Let...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 páginas
...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 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 ...

John Playfair - 1795 - 400 páginas
...one of which cuts the circle, and the other meets it ; if the reftangle 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. Let...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 páginas
...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 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 - 1804 - 440 páginas
...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 fqua°re of the line which touches it. Let D be any point without the circle ABC, and DCA, DB two ftraight...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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 mail touch the circle. Let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...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...Let D be any point without the circle ABC, and DCA, PB two straight lines drawn from it, of which DCA cuts dl. 3. e 12- 1. Book III. the circle, and DB...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 páginas
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 páginas
...it without the circle, shall be equal to the square of the line which touches it. b 6. 2. c. 47. 1. Let D be any point without the circle ABC, and DCA, DB Book III. two straight lines drawn from it, of which DCA cuts the circle, v^M"w and DB touches the...
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