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. A Treatise of Practical Surveying, ... - Side 32av Robert Gibson - 1808 - 440 siderUten tilgangsbegrensning - Om denne boken
| Rev. John Allen - 1822 - 494 sider
...in D. PROP. XXXI; THEOR. The angle (BAC) in a semicircle, is a right angle; but an angle (as ABC), **in a segment greater than a semicircle, is less than a right angle** ; and an angle (as ADC), in a segment less them a semicircle, is greater than a right angle. Let E... | |
| Peter Nicholson - 1823
...two right angles. THEOREM 37. 94. An angle ABD, in a semi-circle, is a right angle ; an 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... | |
| James Mitchell - 1823 - 576 sider
...semi-circle, or standing upon a semi-circle or diameter. An ancle in a semi-circle, 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,... | |
| Peter Nicholson - 1825 - 372 sider
...done. 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 right angle** ; and the angle in a segment less than a semicircle, is greater than a right angle. Let ÀBCD be a... | |
| Nathaniel Bowditch - 1826 - 617 sider
...are .N equal to each other ; for they are all measured by the same arch, viz. half the arch AB. XLII. **An angle in a segment greater than a semicircle is less than a right angle. Thus** if ABC be a segment greater than a semicircle, the arch AC on which it stands must be less than a semicircle,... | |
| Euclides - 1826
...bisected. QEF PROPOSITION XXXI. THEOREM. In a circle the angle in a semicircle is a right angle, also that **in a segment greater than a semicircle is less than a right angle,** and that in a segment less than a semicircle is greater than a right angle, and moreover the angle... | |
| Euclid, Phillips - 1826 - 180 sider
...bisected. QEF PROPOSITION XXXI. THEOREM. In a circle the angle in a semicircle is a right angle, also that **in a segment greater than a semicircle is less than a right angle,** and that in a segment less than a semicircle is greater than a right angle, and moreover the angle... | |
| George Lees - 1826 - 207 sider
...VIII. THEOREM. . . i In a circle, the angle BAC in a semicirle is a right angle ; but, the angle ABC **in a segment greater than a semicircle, is less than a right angle** ; and the angle ADC, in, a segment, less than a semicirle, is greater than a right angle. Produce BA... | |
| Robert Simson - 1827 - 513 sider
...was to be done. PROP. XXXI. THEOR. 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 right angle** ; and the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle,... | |
| Pierce Morton - 1830 - 272 sider
...semi-circumference, that is, by a quadrant. Cor. 2. (Eue. iii. 31 second part of.) The angle, which is **in a segment greater than a semicircle, is less than a right angle** ; and the angle, which is in a segment less than a semicircle, is greater than a and let the diameters... | |
| |