| Euclides - 1865 - 402 páginas
...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... | |
| James Robert Christie - 1866 - 428 páginas
...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. 3. Triangles, and also parallelograms, having the same altitude, are to one another, &c. 4. If a straight... | |
| Euclid, Isaac Todhunter - 1867 - 426 páginas
...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. Let ABCD be a circle, of which BC is a diameter and E the centre ; and draw CA, dividing the circle... | |
| Robert Potts - 1868 - 434 páginas
...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... | |
| Edinburgh univ - 1868 - 336 páginas
...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,... | |
| William Davis Haskoll - 1868 - 252 páginas
...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.) - 1869 - 196 páginas
...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—... | |
| Henry Raper - 1870 - 968 páginas
...arc BDC, that is, by a quantity less than half 180° (No. 140), is less than a right angle. 143. The angle in a segment less than a semicircle is greater than a right angle. The segment BAG being less than a semicircle, the segment BDC must be greater than a semicircle, and... | |
| Richard Wormell - 1870 - 304 páginas
...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. Let the angle ABC (fig. 180) be the angle in the segment ABC.. If the segment be a semicircle,... | |
| Henry William Watson - 1871 - 320 páginas
...right angle, and 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. Let ABDC be a circle and BC its diameter, and therefore BAC a semicircle, then shall the angle BAC... | |
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