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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... "
The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 105
by Euclides - 1853
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 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 - 518 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 - 518 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 - 722 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 line 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...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 568 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 - 242 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...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 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. Let the straight line DE touch the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 pages
...less than a semicircle is greater than a right angle. Prop. XXX IL Thcor. If a straight line touche» a circle, and from the point of contact a straight line be drawn culling the circle, the angles made by this line with the line touching the circle, shall be equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...adjacent angles are equal, they are right angles. Proportion XXX IL Theorem. 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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