| Archibald Patoun - 1734 - 414 páginas
...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 páginas
...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 Simson - 1806 - 518 páginas
...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 páginas
...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 - 1811 - 508 páginas
...AB, are 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...the arc AB is less than a semicircle, therefore half** tha arc AB, or the angle ADB is less than half a semicircle, and consequently less than a right angle.... | |
| John Mason Good - 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 páginas
...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,... | |
| John Playfair - 1819 - 317 páginas
...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 cir.de,... | |
| George Watson - 1822 - 4 páginas
...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 is less than a right angle.** 200. An angle at the circumference of a circle is half the angle at the centre, standing on the same... | |
| Euclid, Rev. John Allen - 1822 - 494 páginas
...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... | |
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