| Euclides - 1871
...opposite sides, are together half of the parallelogram. 5—2 To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given** angle. a Let ABC be the given A , and D the given L . It is required to describe ar~l equal to A ABC,... | |
| Euclid, C. P. 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 points... | |
| Euclides, James Hamblin Smith - 1872 - 349 páginas
...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 , It ix required to apply to AB... | |
| Henry Major - 1873
...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 point... | |
| Charles Mansford - 1874
...having the same baae and altitude. PROPOSITION 42. PROBLEM. 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 : it is required to describe a parallelogram... | |
| 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 meet.... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...&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 given triangle, and D the given rectilineal angle.... | |
| 1874
...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 line be drawn through... | |
| Edward Atkins - 1876
...Therefore, if a parallelogram, &c. QED Proposition 42.— Problem. 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; It is required to describe a parallelogram... | |
| Education Department,London - 1876
...between the fcame parallels are equal. 2. 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.** 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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