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
| 1869 - 178 sider
...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 right angle** ; and the angle in a segment less than a semicircle is greater than a right angle. ALGEBRA. I. Specimen... | |
| 1870
...a diameter, the angle at M, • point on the circumference, is the angle in a semicircle. 142. The **angle in a segment greater than a semicircle is less than a right angle.** The segment BAG of the circle being greater than a semicircle, the other segment BDCmust be less than... | |
| 1870 - 16 sider
...centre in the arc AC ; consequently they are equal. 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. Let... | |
| Henry William Watson - 1871 - 285 sider
...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 right angle,** and the angle in a segment less than a semicircle is greater than a right angle. Let ABDC be a circle... | |
| Euclides, James Hamblin Smith - 1872 - 349 sider
...ij. ED 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 right angle** ; and the angle in, a segment less than a semicircle is greater than a right angle. Let ABC be a ©,... | |
| Euclides - 1872
...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 right angle;** and the angle in a segment less than a semicircle is greater than a right angle. Let ABC be a 0, 0... | |
| Henry Major - 1873
...is equal to the arc DB. XXXI. — 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 BC be a diameter,... | |
| James Bryce - 1874
...semicircle is a right angle, an angle in a segment less than a semicircle is greater than a right angle, and **an angle in a segment greater than a semicircle is less than a right angle.** For the angle AOB at the centre may be increased till it becomes two right angles (I. Def. 9), then... | |
| 1874
...may be proved that PROPOSITION XVI. 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 A PB be a © of... | |
| 1874
...DQJE.F. Proposition 31. — 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 ABC be a circle,... | |
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