| Royal Statistical Society (Great Britain) - Great Britain - 1845 - 786 pages
...and of Europe. GEOMETRY. — Senior. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 2. If a straight line be divided into any two parts, the square on the whole is equal to the sum of... | |
| Cowley Oxon, dioc. school - 1860 - 318 pages
...and between the same parallels, are equal to one another. 9. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 10. In any right-angled triangle, the square which is described upon the side subtending the right... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...section shall bisect the vertical angle. 8. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Education Department - 1879 - 1118 pages
...none, of their other parts equal. 7. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. On the diameter of a square construct a parallelogram equal to the square, and having one of its angles... | |
| British Columbia. Superintendent of Education - 1893 - 812 pages
...in one and the same straight line. 2. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be bisected and produced to any point ; the rectangle contained by the whole... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...examination. A.— PURE MATHEMATICS. No. 1. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment. 3. Give Euclid's... | |
| 1870 - 964 pages
...but any two whatever of these must be greater than the third. 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1864 - 700 pages
...perpendicular is less than the one which is more remote. 4. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. All the exterior angles of any rectilineal figure are equal to four right angles. C. If all the... | |
| 438 pages
...him. The problem in Euclid I. 44 is " to apply to a given straight line a parallelogram which shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle." The solution of this clearly gives the means of adding togetlier or subtracting any triangles, parallelograms,... | |
| 1874 - 748 pages
...third angle of the one equal to the third angle of the other. 3. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a. given rectilineal augle. 4. If the square described upon one of the sides of a triangle, be equal to the squares described... | |
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