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
| Euclid, Robert Simson - 1835 - 513 sider
...III. 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,... | |
| 1835
...semi-circum•ference, 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 • From the Latin... | |
| 1836
...right angles to the same plane. 3. In a circle the angle in a semicircle is a right angle, but 1829 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. If two triangles... | |
| George Darley - 1836 - 128 sider
...right angles, (ART. 37,) ADC must be equal to one right angle. This, &c. [See NOTE Z.] ART. 73. The **angle in a segment greater than a semicircle is less than a right angle.** Let ABC be a segment greater than a semicircle. Then ADC is less than a right angle. DEM. Draw the... | |
| John Playfair - 1836 - 114 sider
...was to be done. PROP. XXII. THEOR. In a circle, the angles 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,... | |
| Euclides - 1837
...— DB. 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. Steps of the Demonstration... | |
| Andrew Bell - 1837 - 240 sider
...in D. 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 ABCD be a circle,... | |
| Euclides - 1838
...was to be done.PROP. XXXI. THEOR. In a circle, the angle in a semicircle is a right angle; tut 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,... | |
| Euclides - 1840
...ABD is less than a right angle a Prop. 32). But L ABD=Z. AFD (m. Prop. 2i) ; therefore Z. AFD or the **angle in a segment greater than a semicircle is less than a right angle.** And the angle in a segment AGD less than a semicircle, is greater than a right angle. For take any... | |
| Euclides - 1841
...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 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,... | |
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