 | Robert Potts - 1865 - 528 pages
...in a semicircle is a right angle ; but the angle in a legment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...semicircle is a right angle ; but that the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. ., 40 PROBLEMS. 10. Pivide a right angle into three equal angles. 11. In the base of a triangle, find... | |
 | Euclides - 1865 - 402 pages
...in a semicircle is a right angle; but the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. Cor. If the angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...in a semicircle is a right angle, but the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. EUCLID, BOOK VI. Prop. 2. — Theorem. If a straight line be drawn parallel to one of the sides of... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...when the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle. [III. 31. Therefore, conversely, if the given triangle be acuteangled, the centre of the circle falls... | |
 | Robert Potts - 1868 - 434 pages
...a semicircle is a right angle ; lint the angle in a legmenl greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle... | |
 | Edinburgh univ - 1868 - 336 pages
...in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 2. Of two straight lines within a circle, one passes through the centre and cuts, at right angles,... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...a right angle ; an angle in a tegment greater than a semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. (Th. 8) ; that is, one half of 180°, or 90°, which is the measure of a right angle. If the angle... | |
 | William Davis Haskoll - 1868 - 252 pages
...greater segment of a circle than a semicircle is less than a right angle, and the angle contained by a segment less than a semicircle is greater than a right angle. In any circle (fig. 41), a perpendicular from the circumference to the diameter is a mean proportional... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. ALGEBRA. I. Specimen Paper, (Time, 8 hours.) 1. Fiud (1) the sum, (2) the difference, of the two expressions—... | |
| |
The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 
