| Robert Gibson - 1808 - عدد الصفحات: 482
...angle ADB 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 - عدد الصفحات: 580
...angle ADB 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 - عدد الصفحات: 714
...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. If a straight line touches я circle, an J from the point of contact a straight... | |
| Euclides - 1814 - عدد الصفحات: 560
...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...angle. Let ABCD be a circle, of which the diameter is EC, and centre E; and draw CA, dividing the circle into the segments ABC, ADC, and join BA, AD, DC;... | |
| Robert Gibson - 1814 - عدد الصفحات: 558
...angle 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 - عدد الصفحات: 588
...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 - عدد الصفحات: 502
...angle ADB 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 - عدد الصفحات: 354
...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, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC,... | |
| John Playfair - 1819 - عدد الصفحات: 350
...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 ceatre of Ihe circle falls within it : if it... | |
| Euclid, Robert Simson - 1821 - عدد الصفحات: 514
...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...diameter is BC, and centre E; and draw CA, dividing thf circle into the segments ABC, ADC, and join BA, AD, DC; the angle in the semicircle BAC is a right... | |
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