 | 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,...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 angle. It... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...to 3 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
...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,...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 two given points... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its a..gles equal to a given angle. B JJ C Let ABC be the given A , and D the given L . It is required... | |
 | 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, join AE, and at the... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 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 ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any... | |
 | 1874 - 682 pages
...and of the square on the line made up of the half and the part produced. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle, and hare one of its angles equal to a given rectilineal angle. 3. Given the area of a circle equal to 5... | |
 | Richard Wormell - 1876 - 268 pages
...parallelograms which are about the diagonal of any parallelogram are equal to one another. .. .. .. .. 141 44. To a given straight line to apply a parallelogram,...one of its angles equal to a given rectilineal angle 16s 45. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal... | |
 | Education Department,London - 1876 - 1010 pages
...three times as great. 1. Triangles upon the same base and between the fcame parallels are equal. 2. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. 3. If a straight line he divided into any two parts, the square on the whole line is equal to the squares... | |
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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. 
