 | John Playfair - 1806 - 320 pagina’s
...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, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC, ADC, and join... | |
 | Robert Simson - 1806 - 546 pagina’s
...if the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle : wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it... | |
 | Robert Gibson - 1806 - 486 pagina’s
...is less than half a semicircle, and consequently less than a right angle, fig. 26. Cor. 4. An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, its half, which is the measure of the angle ABC,... | |
 | Robert Gibson - 1808 - 482 pagina’s
...is less than half a semicircle, and consequently less than a right angle, fig. 26. Cor. 4. An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, 'its half, which is the measure of the angle ABC,... | |
 | Robert Gibson - 1811 - 580 pagina’s
...is less than half a semicircle, and consequently less than a right angle. Fig. sr. Cor. 4 An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, its half, which is the measure of the angle ABC,... | |
 | John Mason Good - 1813 - 714 pagina’s
...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. If a straight line touches я circle, an J from the point of contact a straight... | |
 | Robert Gibson - 1814 - 558 pagina’s
...ADBis less than half a semicircle, and consequently less than a right angle. Fig. У!. Cor. 4. An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, its half, which is the measure of the angle ABC,... | |
 | Euclides - 1816 - 588 pagina’s
...if the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle : Wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it... | |
 | Robert Gibson - 1818 - 502 pagina’s
...is less than half a semicircle, and consequently less than a right angle. fig. 26. Cor. 4. An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, its half which is the measure of the angle ABC,... | |
 | John Playfair - 1819 - 354 pagina’s
...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, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC,... | |
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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. 
