| Euclid, Charles Peter MASON - 1872
...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... | |
| Euclides, James Hamblin Smith - 1872 - 349 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... | |
| Henry Major - 1873
...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... | |
| Robert Johnston (F.R.G.S.) - 1873
...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... | |
| Euclides - 1874
...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,...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 given rectilineal... | |
| Euclides - 1874
...the remaining complement KD (Ax. 3). Wherefore, the complements, &c. QED PKOPOSITION 44. — Problem. **To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal** angle. HAL Let AB be the given straight line, and C the given triangle, and D the given rectilineal... | |
| Braithwaite Arnett - 1874
...the 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...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 line be drawn... | |
| Edward Atkins - 1874
...&c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which thall **be equal to a, given triangle, and have one of its angles equal to a given rectilineal** angle. GEOMETRY. Make paralleloI.Tam BEFG = A < ', and / at li = i D, and EBAa straight line. HBandFE... | |
| 1874
...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... | |
| Edward Atkins - 1876 - 119 sider
...= remaining complement KD (Ax. 3). Therefore, the complements, &c. QED Proposition 44. — Problem. **To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal** angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required... | |
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