 | Robert Gibson - 1818 - 502 sider
...angle ADB is less than half a semicircle, and consequently less than a right angle. fig. 26. Cor. 4. An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, its half which is the measure of the angle ABC,... | |
 | John Playfair - 1819 - 354 sider
...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. Let ABCD be a cir.de, of which the diameter is BC, and centre E ; draw CA dividing the circle into the... | |
 | John Playfair - 1819 - 350 sider
...if 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 Wherefore, if the given triangle be acute angled, the ceatre of Ihe circle falls within it : if it... | |
 | Rev. John Allen - 1822 - 508 sider
...(as ABC), in a segment greater than a semicircle, is less than a right angle; and an angle (as ADC), in a segment less than a semicircle, is greater than a right angle. Let E be the centre of the circle, join AE, and produce BA, as to F; and because, in the triangle EAB,... | |
 | George Watson - 1822 - 72 sider
...In all plane triangles the sum of the three angles is equal to two right angles, or 180 deg. 198. An angle in a segment less than a semicircle is greater than a right angle. 197. An angle in a semicircle is a right angle. 199. An angle in a segment greater than a semicircle... | |
 | Peter Nicholson - 1823 - 210 sider
...angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F, draw BC to the centre, and, because CA is equal to CB, the angle CBA is equal to CAB... | |
 | James Mitchell - 1823 - 666 sider
...is a right-angle. An angle in a segment, greater than a semi-circle, is less than a right-angle. An angle in a segment, less than a semi-circle, is greater than a right-angle. ANGULAR, something relating to, or having angles. ANGULAR Motion,\* that which is performed... | |
 | Peter Nicholson - 1825 - 1046 sider
...if 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 : Wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it... | |
 | Nathaniel Bowditch - 1826 - 732 sider
...arch DKF, that is, by half a semicircle or by rt quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. ' J* Thus if GHI be a segment less than a semicircle, the arch GLI on which it stands must be greater... | |
 | Nathaniel Bowditch - 1826 - 764 sider
...arch 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 GHI be a segment less than a semicircle, the arch GLI on which it stands must be greater than... | |
| |
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. 
