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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... "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Page 78
by Pierce Morton - 1830 - 272 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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...to the same two ; and when 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...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
...to the point of contact, shall be perpendicular to the line touching the circle. Prop. XIX. Theor. If a straight line touches a circle, and from the...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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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...touching the circle, ... 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...that is, FC is perpendicular to DE. Therefore if a straight , . line^&c. QED D" c PROP. XIX. THEOR. IF a straight line touches a circle, and from the...line, the centre of the circle shall be in that line. Let the straight line DE touch the circle ABC in C, and from C let CA be drawn at right angles to DE...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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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