| 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
...tegmeiits of a circle. Define also ñmilar polygons. Are the two definitions in any way related ¡ 5. On **a given straight line to describe a segment of a circle...which shall contain an angle equal to a given angle.** — Euclid III., 33. Explain the practical use of this problem. 6. Give Euclid's definition of proportion,... | |
| 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... | |
| Euclides - 1860 - 288 pages
...therefore the remaining angle DBE is equal to the angle BCD in the alternate segment of the circle. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. Given the straight line AB, and the rectilineal... | |
| William Schofield Binns - 1861 - 238 pages
...line AB is divided in E into extreme and mean ratio, ie, AB is to AE, as AE is to E B. PROBLEM 14. On **a given straight line, to describe a segment of a circle which shall contain an angle** less than a right angle. Let AB be the given straight line. Make BA c equal to the given angle. Bisect... | |
| Euclides - 1861 - 464 pages
...tangent and secant, and the angles in the alternate segments of the circle. PROP. 33. — Рвoв. **Upon a given straight line to describe a segment of a circle, which** ¡«hall contain an angle equal to a give< rectilineal angle. SOL. 10, 1. 23, 1. 11, I. Pst. l & 3.... | |
| Euclides - 1862 - 172 pages
...circle. (ax. 3.) Wherefore, if a straight line, &c. QED THE SCHOOL EUCLID. [BOOK m. PROP. XXXIII.— **PROBLEM. Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. (References— Prop. i. 4, 10, 11, 23, 31 ;... | |
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