| Education - 1851 - 502 pages
...together equal to two right angles, these straight lines are in one and the same straight line. 3. **Upon a given straight line to describe a segment of...circle which shall contain an angle equal to a given** rectilineal angle. 2. To describe a square which shall be equal to a given rectilineal figure. SECTION... | |
| 582 pages
...The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line- **describe a segment of a circle, which shall contain an angle equal to a given** rectilineal angle. 5. The circumference of one circle is equal to the diameter of another ; show that... | |
| Euclid - Geometry - 1853 - 176 pages
...lines ED and BC are parallel (d). PROPOSITION XXXIII. PROBLEM. — On a given finite straight line (AB) **to describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle (C). Let the given angle be a right angle : — SOLUTION. Bisect AB in F (a), and... | |
| Euclides - Geometry - 1853 - 334 pages
...equal to a given angle. Let AB be the given straight line, and c the given angle. It is required on AB **to describe a segment of a circle, which shall contain an angle equal to** the angle c. There are two cases, according as the angle c is a right angle, or is not. I. Let the... | |
| Euclides - 1853 - 146 pages
...angle BCD in the alternate segment of the circle. Wherefore, if a straight line, &c. 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. Let AS be the given straight line, and the... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...alternate segment of the circle. Wherefore, if a straight line, etc. QED PROPOSITION 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... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...Definition of 'angle in a tegment'i see (52 Cor.). 149. PROP. LII. Upon a given straight line* to construct **a segment of a circle which shall contain an angle equal to a given angle.** Let AB be the given straight line; and through the point A draw the straight line AC making with AB... | |
| Robert Potts - 1855 - 1050 pages
...is equal to the square of the straight lin« »hich is made up of the half and the part produced. 6. **Upon a given straight line to describe a segment of...circle, which shall contain an angle equal to a given** rectilineal angle. .7. Two circles ASCD, EBCF, having the common tangents AE, and DF cut one another... | |
| Euclides - 1855 - 270 pages
...line, and С 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 С. First, let the angle С be a right angle. Bisect AB in F (L 10), and from the centre... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...touching the circle, shall be equal to the angles which are in the alternate segments of the circle. 11. **Upon a given straight line to describe a segment of...circle which shall contain an angle equal to a given** rectilineal angle. If any three points in the circumference of a circle be joined so as to form a triangle,... | |
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