 | Archibald Patoun - 1734 - 568 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 - 384 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 Gibson - 1806 - 486 páginas
...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... | |
 | Robert Simson - 1806 - 546 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 - 320 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 - 1808 - 482 páginas
...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 - 580 páginas
...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 - 1813 - 714 páginas
...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 - 588 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,... | |
 | Robert Gibson - 1818 - 502 páginas
...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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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. 
