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" IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 81
by John Playfair - 1856 - 318 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...angles. PROP. XXXII. THEOR. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, fhall be equal to the angles which are in the alternate fegjneuts of the circle....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...angles. PROP. XXXH. THEO R. TF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, mail be equal to the angles which are in the alternate fegments of the circle....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, fhall be equal to the angles which arc in the alternate iegments of the circle....
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, a;id from the point of contadt a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, (hall be equal to the angles which are in the alternate fegments of the circle....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle. PROP. XXXII. THEOR. IF a flraight line touches a circle, and from the point of contact a rtraight line be drawn, cutting the circle, the angles made by this line, with the line touching the circle, fliall be equal to the angles which are in the alternate fegments of the circle....
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...angles. PROP. XXXII. THEO R. IF a ftraight line touch a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made...this line with the line which touches the circle, fhall be equal to the angles ia the alternate fegments of the circle. Let the ftraight line EF touch...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...angles^ PROP. XXXII, THEOR. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, (hall be equal to the angles which are in the alternate fegments of the circle....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...perpendicular to DE. Therefore, if a straight line, &c. QED a 17. 1. b 19. i. PROP. XIX. THEOR. IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle is in that line. Book III. Let the straight...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...perpendicular to DE. Therefore, if a straight line, 6cc. QED PROP. XIX. THEOR. IF a straight line touches a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. if possible,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...is perpendicular to DE. Therefore, if a straight line, &c. QED C GE a 18. 3. ,' PROP. XIX. THEOR. IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching lirie, the centre of the circle shall be in that line. Let the straight...
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