| Euclides - Euclid's Elements - 1837 - 112 pages
...BCD == 2 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... | |
| Euclid, James Thomson - 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 - 1838 - 264 pages
...angle at C the given rectilineal angle ; it is required to describe upon the given straight line AB **a segment of a circle, which shall contain an angle equal to** the angle C. First, let the angle at C be a right angle : »„ ,• bisect* AB in F, and from 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 - Geometry - 1841 - 378 pages
...line, and C the given rectilineal angle; it is required to describe upon the given straight line AB, **a segment of a circle, which shall contain an angle equal to** the angle C. First, let the angle C be a right angle; bisect* AB in F, and from '"*' the centre F,... | |
| 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... | |
| Euclides - 1842 - 316 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... | |
| Education - 1843 - 582 pages
...figure be bisected by both its diagonals it is a parallelogram. 3. To describe upon a given right line **a segment of a circle which shall contain an angle equal to a given** rectilineal angle. The base, the vertical angle, and one of the other sides of a triangle are given... | |
| Church schools - 1844 - 456 pages
...and likewise those which are terminated in the other extremity equal. 2. Upon a given straight lino, **to describe a segment of a circle which shall contain an angle equal to a given angle.** 3. If two straight lines cut one another in a circle, the angle between them is half the sum of the... | |
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