 | Archibald Patoun - 1734 - 568 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1806 - 546 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 714 σελίδες
...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 - 1814 - 558 σελίδες
...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 - 588 σελίδες
...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 σελίδες
...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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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. 
