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... Pure Mathematics - Page 2731874Full view - About this book
| Euclid - 1781 - 520 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... | |
| John Playfair - Euclid's Elements - 1795 - 400 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... | |
| Alexander Ingram - Trigonometry - 1799 - 351 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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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... | |
| Euclid, Robert Simson - Euclid's Elements - 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... | |
| 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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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... | |
| Charles Butler - Mathematics - 1814
...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 - 164 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... | |
| John Playfair - Circle-squaring - 1819 - 333 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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