 | Robert Potts - 1868 - 434 pages
...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 triangle, and D the given rectilineal... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...times the sain of the digits ; find the number. 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 equal to a rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment.... | |
 | Euclides - 1871 - 136 pages
...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 / .... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. For the construction necessary in this proposition we must be able, — 1. To join... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...= complement BF, Also the O BL has one of its L s, ABM= L EBG, and nal to L D. QKF PROPOSITION XLV. PROBLEM. To describe a parallelogram, which shall be equal to a given rectilinear figure, and have one of its angles equal to a given angle. g JD MA Let ABCD be the given... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...two equal parts ; wherefore ABCD is also double of EBC. XLII. — To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. Bisect BC in E,... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...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 ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any... | |
 | Euclides - 1874 - 120 pages
...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 ' • given triangle, and I) the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...same base, and between the same parallels, are equal to one another. 4. 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. 5. Define a rhombus, and show that its opposite angles are equal. 6. If a straight... | |
 | Edward Atkins - 1874 - 426 pages
...Therefore, 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. It is required to apply to the straight line AB a parallelogram equal to the triangle... | |
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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. 
