| John Lowres - 1870 - 130 pages
...the difference in area between two similar sectors as in the last problem. PROBLEM XXXVIII. — On **a given straight line to describe a segment of a circle which shall contain** a given rectilineal angle. А в = given line : с = given angle. Make the angle ABE equal to angle... | |
| William Frothingham Bradbury - Geometry - 1872 - 262 pages
...tangents to the given circle. 19. Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 20. **Upon a given straight line to describe a segment of a circle which shall contain** a given angle. Let AB be the given straight line. At B make the angle ABD equal to the given angle... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...tangents to the given circle. 191 Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 201 **Upon a given straight line to describe a segment of a circle** lohich shall contain a given angle. Let AB be the given straight line. At B make the angle ABD equal... | |
| William Frothingham Bradbury - Geometry - 1873 - 132 pages
...tangents to the given circle. 19f Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 20t **Upon a given straight line to describe a segment of a circle which shall contain** a given angle. Let AB be the given straight line. At B make the angle ABD equal to the given angle... | |
| Henry Major - Student teachers - 1873 - 588 pages
...therefore the remaining angle DBE is equal to BCD in BDC, the alternate segment of the circle. XXXIII. — **Upon a given straight line to describe a segment of a circle,** to contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the chord FG will coincide with the chord HK, and is .-. = it. PROBLEM D. On a given straight lint **describe a segment of a circle -which shall contain an angle equal to a given** rectilineal angle. ft 1 Let AB be the given straight line and Q the given / . It is required to describe... | |
| Edward Atkins - 1874 - 428 pages
...alternate segment of the circle (Ax. 3). = t BCD. Therefore, the angles, &c. QED Proposition 33.— **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 Ijne, and, C the... | |
| Euclides - 1874 - 342 pages
...the angle 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. Construction. Bisect AB in F (I. 10) ; and from... | |
| Sir George Greenhill - Mathematics - 1876 - 318 pages
...constant. This circle is analogous to the nine-pointic circle of a triangle. 3. Upon a given straight line **describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle. Through a fixed point 0 any straight line OPQ is drawn cutting a fixed circle in... | |
| Robert Potts - Geometry - 1876 - 446 pages
...alternate segment of the circle. (I. ax. 2. Wherefore, if a straight line, &c. QED PROPOSITION XXXin. **PROBLEM. Upon a given straight line to describe a segment of a circle, which** that! contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
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