| Henry White - 1864 - 156 pages
...selected Mathematics as a subject of examination. A. — PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which... | |
| Euclides - 1865 - 402 pages
...a given triangle, and have one of its angles equal to a given rectilineal angle ......... I. 42. 2. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and... | |
| Robert Potts - 1865 - 528 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal... | |
| Architecture - 1865 - 276 pages
...parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle. Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12.... | |
| Civil service - 1866 - 270 pages
...each, and also the third angle of the one to the third angle of the other. 2. 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. 3. If a straight line be bisected, and produced to any point ; the rectangle contained... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...remainder, the complement KD. [Axiom 3. Wherefore, the complements &c. QED PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal... | |
| 1867 - 224 pages
...whole and one of the parts may be equal to the square on the other part. 9. 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. 10. If a straight line be bisected, and produced to any point, the rectangle contained... | |
| Robert Potts - 1868 - 434 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle. Let AB be th« given straight line, and Cthe given triangle, and D the given rectilineal... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...produced) in M, N. Shew that the triangle MEN is equal to the triangle MDC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...shall be equal to a given triangle, and have one of it» angles equal to a given angle. D S Let AB be the given at. line, C the given A, Z> the given L... | |
| Robert Potts - Geometry - 1876 - 446 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XL1V. PROBLEM. To a given straight line to apply a parallelogram, which shall be equnl to a given triangle, anil have one of its angles equal to a given rectilineal angle. Let AB be... | |
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