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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. "
The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 118
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
...is 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 - 518 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 - 518 pages
...FC 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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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....
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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 the alternate segment...
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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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...DE ; FC is therefore perpendicular to DE. Therefore, if a straight line, &c. Q, ED 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. Let the straight line...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 pages
...shall be perpendicular tu the line touching the circle. Prop. XIX. Theor. If a straight line touches л circle, and from the point of contact a straight line be drawn at right angles to the touchingline, the centre of the circle shall be in that line. Prop. XX. Theor....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...to DE. Therefore, if a straight line, &c. QED Proposition XIX. Tliearem. 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...
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