| Robert Mudie - Mathematics - 1836 - 524 pages
...greater, and greater in the case of less. 11. We are now prepared to solve the following problem : **Upon a given straight line, to describe a segment of a circle, which shall contain** an angle equal to a given angle. This problem is often of much service, to those who are handy with... | |
| John Playfair - Geometry - 1836 - 114 pages
...AE, EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXV. PROB. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given angle. Let AB be the given straight line, and the angle at C the... | |
| Euclid - Geometry - 1837 - 410 pages
...which is an angle in the remote segment ACB. If, therefore, a straight line, &c.f PROP. XXXIII. PROB. **UPON a given straight line to describe a segment of a circle,** containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle;... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...right Z s, 6. that ZS DBF + DBE = ZS BAD + BCD, 7- that Z DBE = Z BCD. PROPOSITION XXXIII. Problem. **Upon a given straight line to describe a segment of a circle** containing an angle equal to a given -^ * K rectilineal angle. The proof of case 1st, in which Z c... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...DBE is equal to the angle BCD in the alternate segment of the circle. PROPOSITION XXXIU/ PROBLEM. - **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
| Robert Simson - Geometry - 1838 - 434 pages
...the alternate segment of the circle. Wherefore, if a straight line, &c. Q,. ED PROP. XXXIII. PROB. **UPON a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle.* Let AB be the given straight line, and the... | |
| Euclides - 1840 - 82 pages
...with the tangent are equal to the angles in the alternate segments of the circle. PROP. XXXIII. PROB. **Upon a given straight line to describe a segment of a circle** containing an angle equal to a given angle. PROP. XXXIV. PROB. To cut off from a given circle a segment... | |
| Euclides - 1841 - 378 pages
...proved equal to • 2 Ax. BAD: therefore the remaining angle DBE is equal * to PROP. XXXIII. PROB. **Upon a given straight line to describe a segment of a circle, which shall contain** an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the given rectilineal... | |
| Euclides - 1842 - 320 pages
...in the alternate segment of the circle. Wherefore, if a straight line, &c. QED PROP. XXXIII. PROB. **UPON a given straight line to describe a segment of a circle** containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...angle DBE is equal to the angle BCD in the alternate segment of the circle. J> PROP. XXXIII. PROB. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle, Let AB be the given straight line, and the... | |
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