| Archibald Patoun - Navigation - 1734 - 414 pages
...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 - Surveying - 1795 - 319 pages
...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 - Surveying - 1806 - 452 pages
...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...the arc AB is less than a semicircle, therefore half** the arc AB, or the angle ADB is less than half a semicircle, and consequently less than a right angle,... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...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 - Euclid's Elements - 1806 - 320 pages
...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 pages
...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...the arc AB is less than a semicircle, therefore half** the arc AB, or the angle ADB is less than half a semicircle, and consequently less than a right angle,... | |
| John Mason Good - 1813 - 722 pages
...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.... | |
| Robert Gibson - Electronic books - 1814 - 508 pages
...to each other, for they are all measured by balf the arc they stand on, viz. by half the arc AB. l **Fig. 26. Cor. 3. Hence an angle in a segment greater...measured by half the arc AB, but as the arc AB is less** thai* a semicircle, therefore half the arc AB, от the angle ADBis less than half a semicircle, and... | |
| Euclides - 1816 - 528 pages
...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 - Surveying - 1818 - 478 pages
...AB, are 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...the arc AB is less than a semicircle, therefore half** the arc AB. or the angle ADB is less than half a semicircle, and consequently less than a right angle.... | |
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