| 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... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...137- PROP. XL. To draw a tangent to a given circle which shall also make with a given straight line **an angle equal to a given angle. Let AB be the given straight line;** take any point C in AB, and from C draw CD making with AB an angle equal to the given angle (105).... | |
| Robert Potts - 1855 - 1050 pages
...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 a 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 - 262 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
...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 a 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,... | |
| William Pease - 1856 - 108 pages
...of the first triangle. PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that **shall contain an angle equal to a given angle. Let AB be the given straight line.** 1. Make BAC equal to the given angle. 2. Make the angle ABC equal to the angle BAG. Draw AD and BD... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...a given point, either without or in the circumference, which shall touch a given circle. 6. I. 1 , **on a given straight line, to describe a segment of a circle** containing an angle equal to a given rectilineal angle. If two equal circles touch each other externally... | |
| Horatio Nelson Robinson - Navigation - 1858 - 356 pages
...(th. 9, b. 3), and (th. 4, b. 3). PROBLEM 13. On a given line, to describe a segment of a circle, that **shall contain an angle equal to a given angle. Let AB be the given** line, and C the given angle. At the ends of the given line, make angles DAB, DBA, each equal to the... | |
| War office - 1858 - 578 pages
...one part, shall be equal to the square of the other part. 2. Upon a given straight line describe the **segment of a circle which shall contain an angle equal to a given** rectilineal angle, the given rectilineal angle being less than a right angle. VOLUNTARY PORTION. 1.... | |
| |