| John Playfair, Euclid - Circle-squaring - 1804 - 468 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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...besides FC, that is, FC is 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,... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...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... | |
| Euclid - Geometry - 1810 - 554 pages
...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 - 714 pages
...to the point of contact, 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.... | |
| Peter Fleming - Surveying - 1815 - 250 pages
...touching the circle, ... 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...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... | |
| Euclides - 1816 - 588 pages
...that is, FC is 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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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 Playfair - 1819 - 354 pages
...they are right angles. PROP. XXXII. THEOR. ."-> If a straight line touch a circle, and from the pbitit **of contact a straight line be drawn cutting the circle, the angles made** fry this line with the line which touches the circle, shall be equal to the angles in the alternate... | |
| John Mason Good - 1819 - 800 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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