| Archibald Patoun - 1734 - 414 sider
...Corollary they _ are all meafured by the fame Arc, viz. half the Arc AB which each of them fubtends. **Cor. 3. Hence an Angle in a Segment greater than a Semicircle is** lefs than a right Angle ; thus if ADB be a Segment, greater than a Semicircle, (fee the laft Figure)... | |
| Robert Gibson - 1795 - 319 sider
...they are all meafured by half the Arc they ftand on, viz. by half the Arc AB. Fig. 26. Cor. Plate I. **Cor. 3. Hence an Angle in a Segment greater than a Semicircle is** lefs than a right Angle ; thus ADB is meafured by half the Arc AB, but as the Arc AB is lefs than a... | |
| Robert Gibson - 1806 - 452 sider
...for they are all measured by half the arc they stand on. viz. bv half the arc AB. ftg. 26. . Plate I. **Cor. 3. Hence an angle in a segment greater than a...measured by half the arc AB, but as the arc AB is less** than a semicircle, therefore half the arc AB, or the angle ADB is less than half a semicircle, and... | |
| Euclid, Robert Simson - 1806 - 518 sider
...to be clone. C 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,... | |
| John Playfair - 1806 - 311 sider
...to be done. Book in PROP. XXXI. THEOR. IN a circle 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 Jess than a semicircle is greater than a right angle. Let ABCD be a circle,... | |
| Robert Gibson - 1808 - 440 sider
...for they are all measured by half the arc they stand on* viz. by half the arc AB. fig. 26. Plate I. **Cor. 3. Hence an angle in a segment greater than a...measured by half the arc AB, but as the arc AB is less** than a semicircle, therefore half the arc AB, or the angle ADB is less than half a semicircle, and... | |
| Robert Gibson - 1811 - 508 sider
...eq'ial to each other, for they are all measured by half the arc they stand on, viz. by hall the arc AB. **fig. 26. Cor. 3. Hence an angle in a segment greater...measured by half the arc AB, but as the arc AB is less** than a semicircle, therefore half tha arc AB, or the angle ADB is less than half a semicircle, and... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...two equal parts. 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. Prop. XXXII. Theor.... | |
| Euclides - 1816 - 528 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,... | |
| Robert Gibson - 1818 - 478 sider
...equal to each other, for they are all measured by half the arc they stand on, viz. by half the arc AB. **fig. 26. Cor. 3. Hence an angle in a segment greater...measured by half the arc AB, but as the arc AB is less** than a semicircle, therefore half the arc AB. or the angle ADB is less than half a semicircle, and... | |
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