 | Robert Potts - 1868 - 434 pages
...XTC-XT, THEOREM. In a circle, the angle in a semicircle is a right angle ; lint the angle in a legmenl greater than a semicircle is less than a right angle...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... | |
 | 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
...which shall touch a given circle. 7. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is...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 pages
...the 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 therefore... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...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. Let the angle ABC (fig. 180) be the angle in the segment ABC.. If the segment be a semicircle,... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...two right angles (Bk. I. Prop. 23). PROPOSITION 13. The angle in a semicircle is a right angle, and the angle in a segment greater than a semicircle is...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the radius. PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircle is a right angle ; and the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. Let ABC be a © , O its centre, and BC a diameter. Draw AC, dividing the © into the segments ABC,... | |
 | Euclides - 1872 - 102 pages
...in B. QB p. PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircle is a right angle; and the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. Let ABC be a 0, 0 its centre, and BC & diameter. Draw AC, dividing the © into the segments ABC, ADC.... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1872 - 218 pages
...in a semicircle is a right angle; but the an?le in a segment greater than a semicircle is less tban a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. ALGEBRA. I. Specimen Paper. (Time, 3 hours.) 1. Find (1) the sum, (2) the difference, of the two expressions... | |
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... a circle. 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. 
