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" IF from a point without a 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 the circle, and the part of it without the circle be equal to the square... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Seite 85
von Euclides - 1861
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...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 Seiten
...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 Seiten
...touches the circle. PROP. XXXVII. THEO R. IF from a point without a circle there be drawn two ftraight lines, one of which cuts the circle, and the other meets it ; if the re&anglc contained by the whole line which cuts the circle, and the part of it without the circle be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 Seiten
...touches the circle. PROP. XXXVII. THEO R. IF from a point without a circle there be drawn two ftraight lines, 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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...touches the circle. PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two ftraight lines, one of which cuts the circle, and the other meets it ; if the redlangle contained by the whole line which cuts the circle, and the part of it without the circle...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 Seiten
...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 fqua°re 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 - 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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...the circle. PROP. XXXVII. THEOR. See N. IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...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 the circle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...circle. Book nt. PROP. XXXVII. THEOR. IF from a point without a 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 the circle, and the part of it without...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
...mCcti it; if the rectangle contained by (lie whole line «hieh <;uts the: с rcie, am! the part "f it without the circle be equal to the square of the line utiirh meet» it, the Hue \vhirh meets shall touch the circle. rtook IV. Def. I.— A rectilineal figure...
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