 | 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,...which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given... | |
 | 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... | |
 | 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,...which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given... | |
 | 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... | |
 | 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,...which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be th« given straight line, and Cthe given... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...each, and also the third angle of the one to the tb; 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... | |
 | Euclides - 1871 - 136 pages
...BC, CD (one of them being produced) in M, N. Shew that the triangle MBN is equal to the triangle MDC. To a given straight line to apply a parallelogram,...which shall be equal to a given triangle, and have one of it* angle* equal to a given angle. HA Let AB be the given st. line, C the given A, D the given /... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...produced) in M, N. Shew that the triangle MBN is equal to the triangle MDC. PROPOSITION XLIV. PROBLEM. 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 angle. Jl Let A3 be the given st. line, C the given A, D the given L... | |
 | Euclides - 1874 - 342 pages
...the remaining complement KD (Ax. 3). Wherefore, the complements, &c. QED PKOPOSITION 44. — Problem. 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. HAL Let AB be the given straight line, and C the... | |
 | Euclides - 1874 - 120 pages
...complements, &c. QED Ex The parallelogram EH is equiangular to the parallelogram BD. PROPOSITION 44. PROBLEM. 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. * Let AB be the given straight line, and C the '... | |
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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. 
