| Robert Simson - Trigonometry - 1775 - 520 pages
...angles. PROP. XXXH. THEO R. TF a ftraight line touches a circle, and from the point of contact a ftraight **line be drawn cutting the circle, the angles made by this line with the line touching the circle,** mail be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line... | |
| Euclid - 1781 - 520 pages
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, and from the point of contact a ftraight **line be drawn cutting the circle, the angles made by this line with the line touching the circle,** fhall be equal to the angles which arc in the alternate iegments of the circle. Let the ftraight line... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, a;id from the point of contadt a ftraight **line be drawn cutting the circle, the angles made by this line with the line touching the circle,** (hall be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...angle. PROP. XXXII. THEOR. IF a flraight line touches a circle, and from the point of contact a rtraight **line be drawn, cutting the circle, the angles made by this line, with the line touching the circle,** fliall be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line... | |
| Robert Simson - Trigonometry - 1804
...angles^ PROP. XXXII, THEOR. IF a ftraight line touches a circle, and from the point of contact a ftraight **line be drawn cutting the circle, the angles made by this line with the line touching the circle,** (hall be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...angles. PROP. XXXII. THEO R. IF a ftraight line touch a circle, and from the point of contact a ftraight **line be drawn cutting the circle, the angles made by this line with the line** which touches the circle, fhall be equal to the angles ia the alternate fegments of the circle. Let... | |
| John Playfair - Euclid's Elements - 1806 - 311 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... | |
| 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 line be drawn** at right angles to the. touching line, the centro of the circle shall be in that line. Prop. XX. Theor.... | |
| 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 the alternate segment of... | |
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