 | 1865 - 276 sider
...one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal...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 sider
...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 - 1867 - 426 sider
...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...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 sider
...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 sider
...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...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.) - 1869 - 196 sider
...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 - 1870 - 270 sider
...the parallelogram BK will be equal to the given parallelogram KD. PROP. 44. — PKOB. To a given st. line to apply a parallelogram which shall be. equal...its angles equal to a given angle. SOL. — P. 42. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal... | |
 | Euclides - 1871 - 136 sider
...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 / .... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...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 - 1872 - 376 sider
...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... | |
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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. 
