| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...; 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
...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, Charles Peter MASON - Geometry - 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 - Geometry - 1872 - 349 pages
...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 - Student teachers - 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... | |
| Euclides - 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... | |
| 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 meet.... | |
| Euclides - 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.... | |
| Braithwaite Arnett - 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 - 119 pages
...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... | |
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