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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... "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 69
by Euclid - 1845 - 199 pages
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...3SceN. PROP. XIX. THEO R. IF a ftraight line touches a circle, and from the point of contadl: a ftraight line be drawn at right angles to the touching line, the centre of the circle fhall be in that line. Let the ftraight line DE touch the circle ABC in C, and from C let CA be drawn...
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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
...RQ P. XIX. IF a ftraight line touches a circle, arji'dt, point of contaft a ftraight line be dravyn at right angles to the touching line, the centre of the circle fhall be in that line. • • '.••• " •• •••.:: •>•'.- i: 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
...ED PROP. XIX. THEOR. IF a ftraight line touches a circle, and from the point of contact, a ftraight line be drawn at right angles to the touching line, the centre of the circle lhall be in that line. Let the ftraight line DE touch the circle ABC in C, and from C let CA be drawn...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...one angle of a triangle be equal to 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 cutting the circle, the angles -made by this line with the line which touches the circle will be equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. IF a straight line touches a circle, and from the" point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...angles are equal, they are right angles. PROP. XXXII. THEOR. a 11.1. 19.3. c 31. 3. d 32. 1. e22.3. IF a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...shall be perpendicular to the line touching the circle. Prop. XIX. Theor. If a straight line touches a circle, and from the point of contact a straight...be drawn at right angles to the. touching line, the centro of the circle shall be in that line. Prop. XX. Theor. Tin: angle at tlie centre of a circle...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...demonstration, that these three perpendiculars BE, GF, and CD intersect each other in the same point AQED 249. If a straight line touch a circle, and from the point of contact two chords be drawn, and if from the extremity of one of them, a straight line be drawn parallel to...
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...ībid. 95 26 ibid, 27 28 29 - 30 ibid. 31 ibid. 33 ibid. Page Theorem 13. If a straight line touches a circle, and from the point of contact, a straight line be drawn, cutting the circle, the angle made by this line with the first line, shall be equal to the angle in...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...the same two ; and when the adjacent angles are equal, they are right angles. \ PROP. XXXII. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle, shall be equal...
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