 | Euclides - 1846 - 272 pages
...21. B. 3.), and therefore the angle ABC is also less than a right angle. PART 3. — The angle ABC in a segment less than a semicircle is greater than a right angle. For assume in the opposite circumference any point D, and draw DA and DC. Therefore since in the quadrilateral... | |
 | Nathaniel Bowditch - 1846 - 854 pages
...DKF, that is, by half a semicircle or by a quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. Thus, if GUI be a segment less than a semi-circle, the arc GKI on which it stands must be greater than... | |
 | London univ - 1846 - 326 pages
...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. 10. Inscribe in a given circle an equilateral and equiangular hexagon. 1 1 . Define the sector of a... | |
 | Euclides - 1846 - 292 pages
...triangle, the angle opposite to this side, being in a semicircle, is a right angle ; and if the centre fall without the triangle, the angle opposite to the side beyond which it falls, being in a segment less than a semicircle, is greater than a right angle : Wherefore, if the... | |
 | Euclides - 1848 - 52 pages
...sides of the triangle, the angle opposite to this side, being in a semicircle, is a right angle ; and, if the centre falls without the triangle, the angle...less than a semicircle, is greater than a right angle : wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it... | |
 | Bengal (India) - 1848 - 520 pages
...circle are equal to 2 right angles, .-. L ABC + L ADC = 2 right angles but ABC L a right angle /. ADC in a segment less than a semicircle is greater than a right angle. ~ N, ABCD and HLM are two equal circles, their centres being O, G. AOB and HGK are two angles at the... | |
 | Great Britain. Committee on Education - Education - 1848 - 514 pages
...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. Describe a circle in a given triangle. Section 4. 1. Define the sine and the tangent of an angle.... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...anile; 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. 4. To describe a circle in a given square. 0. Ratios that are equal to the same ratio are equal to... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...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." See Euclid iii. 31. 2. " Describe a circle in a given triangle." See Euclid iv. 4. Tate's Geometry... | |
 | Bengal council of educ - 1848 - 394 pages
...are equal to 2 right angles, .'. /_ ABC + /_ ADC = 2 right angles but ABC Z_ a right angle .'. ADC in a segment less than a semicircle is greater than a right angle. 8. \E ABCD and HLM are two equal circles, their centres being 0, G. AOB and HGK are two angles at the... | |
| |
... in a segment less than a semicircle, is greater than a right angle... 
