| Robert Potts - 1868 - 434 pages
...complements, &c. QED 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 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
...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
...its 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 - 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 - 592 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... | |
| Braithwaite Arnett - 1874 - 130 pages
...same 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... | |
| Euclides - 1874 - 342 pages
...parallelogram and a triangle, &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... | |
| Euclides - 1874 - 120 pages
...rectangle 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... | |
| Edward Atkins - 1874 - 424 pages
...complements, &c. QED Proposition 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.** It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having... | |
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