 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.  Journal - Page 5151865Full view - About this book
 | 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 Simson - Trigonometry - 1806 - 546 pages
...the angle in the semicircle BAC la a right angle ; and the angle in the segment ABO, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right an^le. Join AE, and produce... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...; the angle in the semicircle BAG is a right angle ; the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semiciriite is greater than a right angle. Join £iE, and produce... | |
 | 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
...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...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
...the angle in the semicircle BAC is a right angle; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
 | 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 - 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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