| Robert Potts - Geometry, Plane - 1860 - 380 pages
...segment of the circle. (i. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. **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 the angle C the... | |
| Euclides - 1860 - 288 pages
...therefore the remaining angle DBE is equal to the angle BCD in the alternate segment of the circle. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. Given the straight line AB, and the rectilineal... | |
| Eucleides - 1860 - 396 pages
...segment of a circle being given, to describe the circle of which it is a segment. On a given finite **straight line to describe a segment of a circle, which shall contain** an angle equal to a given rectilineal angle. To cut off from a given circle a segment which shall contain... | |
| William Schofield Binns - 1861 - 206 pages
...line AB is divided in E into extreme and mean ratio, ie, AB is to AE, as AE is to E B. PROBLEM 14. On **a given straight line, to describe a segment of a circle which shall contain** an angle less than a right angle. Let AB be the given straight line. Make BA c equal to the given angle.... | |
| Euclides - 1861 - 464 pages
...tangent and secant, and the angles in the alternate segments of the circle. PROP. 33. — Рвoв. **Upon a given straight line to describe a segment of a circle, which** ¡«hall contain an angle equal to a give< rectilineal angle. SOL. 10, 1. 23, 1. 11, I. Pst. l & 3.... | |
| Euclides - 1862 - 172 pages
...(ax. 3.) Wherefore, if a straight line, &c. QED THE SCHOOL EUCLID. [BOOK m. PROP. XXXIII.— PROBLEM. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. (References— Prop. i. 4, 10, 11, 23, 31 ;... | |
| Euclides - 1864 - 262 pages
...segment of the circle. (l. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. **Upon a given straight line to describe a segment of a circle, which** thali contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
| Robert Potts - 1865 - 528 pages
...segment of the circle, (i. ax. 8.) Wherefore, if a straight line, &c. QED PROPOSITION XXXin. PROBLEM. **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 the angle C the... | |
| Euclides - 1865 - 402 pages
...alternate segment of the circle. (ax. 3.) Wherefore, if a straight line, ftc. QED PROP. XXXIII — PROBLEM. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. (References— Prop. I. 4, 10, 11, 23, 31 ;... | |
| Robert Potts - 1868 - 434 pages
...segment of the circle. (I. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. **Upon a given straight line to describe a segment of a circle, which shall contain** an angle equal to a given rectilineal anijle. Let AB be the given straight line, and the angle C the... | |
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