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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 books i. to vi.and portions of books xi ... - Pagina 158
door Euclides, James Hamblin Smith - 1879
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagina’s
...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 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 pagina’s
...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...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 pagina’s
...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 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 pagina’s
...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 pagina’s
...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 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
...without a circle two ftraight lines be drawn, one of which cuts the circle, snd 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 pagina’s
...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 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: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts...part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle. Let any point D be taken without...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line, which cuts...part of it without the circle, be equal to the square of the line which meets it, the line which meets will touch the circle.Book III. Let any point D be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...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 of the line which touches it. Let D be any point without the circle ABC,...
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