| Euclides - 1840
...angle in a semicircle is a right angle; the angle in a segment greater than a semicircle, is an acute **angle; and the angle in a segment less than a semicircle, is** an obtuse angle. PROP. XXXII. THEOR. If a straight line touches a circle, and from the point of contact... | |
| Euclides - 1841 - 351 páginas
...Which was to be done. PROP. XXXI. THEOR. In, a circle, the angle in a semicircle is a rig hi angle; **the angle in a segment greater than a semicircle is...than a semicircle is greater than a right angle. Let** ABCD be a circle, of which the diameter is BC, and centre E; and draw CA, dividing the circle into... | |
| Euclides - 1842
...AD, DC: the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. Join A, E, and produce... | |
| John Playfair - 1842 - 317 páginas
...DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle ; and the angle in** the segment ADC. which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
| Cambridge univ, exam. papers - 1843 - 30 páginas
...divides them into two equal parts. 2. In a circle the angle in a semi-circle is a right angle ; but **the angle in a segment greater than a semi-circle...than a semi-circle is greater than a right angle.** 3. What sum must be invested in the 3 per cent, stock at 94J, to yield an annual income of £500 ?... | |
| Scottish school-book assoc - 1845
...to AB. PROPOSITION LII. — THEOREM. An angle ADB in a semicircle is a right angle, and an angle DBA **in a segment greater than a semicircle is less than a right angle, and** an angle AED in a segment less than a semicircle is greater than a right angle. and v DC=CB, the ZCBD... | |
| Euclid - 1845 - 199 páginas
...DC : the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle ; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
| Euclides - 1845
...bisected in DQEF PROPOSITION XXXI. THEOREM. 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** rig/it angle; and \he angle in a segment less than a semicircle is greater than a right angle. Let... | |
| London univ - 1846
...(2.) &— xy=48y\ xy— y*=3x J ' (3.) *+— a«=0. 9. The angle in a semicircle is a right angle, **the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle.** 10. Inscribe in a given circle an equilateral and equiangular hexagon. 1 1 . Define the sector of a... | |
| John Playfair - 1846 - 317 páginas
...DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle ; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
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