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" If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Page 65
by Royal Military Academy, Woolwich - 1853
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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. Let the ftraight line...
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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. Let the ftraight line...
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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. Let the ftraight line...
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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. Let the ftraight line...
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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. Let the ftraight line...
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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. Let the ftraight line...
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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 by this line with the line which touches the circle, fhall be equal to the angles ia the alternate fegments of the circle. Let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...the other two angles, it is a right angle. PROP. XXXII. THEOR. IF a straight line touch a circle, and from the point of contact a straight line be drawn...circle, the angles -made by this line with the line which touches the circle will be equal to the angles in the alternate segments of the circle. Let the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...semicircle is greater than a right angle. Prop. XXXII. Theor. If a straight line touches я circle, an J from the point of contact a straight line be drawn...with the line touching the circle, shall be equal to angles which are in the alternate segments of the circle. Prop. XXX11I. Prob. Upon a given straight...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...angles are equal, they are right angler. PROP. XXXII. THEOR. IF a straight line touches a circle, and from the point of contact a straight line be drawn...which are in the alternate segments of the circle. • 1i. i. From the point B draw 3 BA at right angles to EF, and take any point C in the circumference...
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