 | 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 - 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
...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,... | |
 | 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... | |
 | 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.... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...respectively ; the flow being in every case uniform. Geometry and Trigonometry. 1. On a given straight line describe a segment of a circle, which shall contain an angle equal to a given angle.— (Euclid, Book III., Prop. 33.) 2. Apply the above problem to the geometrical construction (when possible) of... | |
 | Samuel H. Winter - Geometrical drawing - 1859 - 56 pages
...consequently the centre of the circle PQR, passing through the points P, Q, R (Euc. in. 9). PROBLEM X. Upon a straight line to describe a segment of a circle which shall contain a given angle. Let MN (PI. II. Fig. 4) be the given line, B the angle. 1. If B be a right angle, upon... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...side together equal to two right angles. VOLUNTARY PORTION. 1. Upon a given straight line describe the segment of a circle which shall contain an angle equal to a right angle and a half. If (2a) be the length of the given line, find the radius of the circle. 3.... | |
 | Eucleides - 1860 - 396 pages
...segment of a circle being given, to describe the circle of which it is a segment. On a given finite straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. To cut off from a given circle a segment which shall contain an angle equal to a... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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. H Bisect AB in F, (i. 10.) and from the center... | |
| |
Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 
