 | Andrew Bell - 1837 - 290 σελίδες
...remaining angle 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... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...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;... | |
 | Robert Simson - 1838 - 434 σελίδες
...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 - 1838 - 264 σελίδες
...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... | |
 | Euclides - 1840 - 82 σελίδες
...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 σελίδες
...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,... | |
 | Euclides - 1842 - 316 σελίδες
...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 - 1842 - 332 σελίδες
...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... | |
 | 1843 - 582 σελίδες
...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... | |
 | 1844 - 456 σελίδες
...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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Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle. 
