| Robert Simson - Trigonometry - 1806 - 546 pages
...was 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 semicircle is greater than a right angle.** Let ABCD be a circle, of which the diameter is BC, and 'centre E; and draw CA dividing the circle into... | |
| Robert Gibson - Surveying - 1806 - 486 pages
...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 - 1808 - 482 pages
...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 - Surveying - 1811 - 580 pages
...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 - 714 pages
...into 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 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 - Surveying - 1814 - 558 pages
...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 - 588 pages
...Which 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 semicircle is greater than a right angle.** Let ABCD be a circle, of which the diameter is BC, and centre E; and draw CA, dividing the circle into... | |
| Robert Gibson - Surveying - 1818 - 502 pages
...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 - 354 pages
...Which 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 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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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... | |
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