 | 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... | |
 | 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,... | |
 | 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... | |
 | 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.... | |
 | Euclides - 1814 - 558 pages
...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...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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... 
