| Henry White - 1864
...examination. A. — 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** eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which... | |
| Euclides - 1864
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram **and have one of its angles equal to a given rectilineal angle.** 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
| Euclides - 1864
...triangle ABC. i nc TO a given straight line apply a triangle which shall be equal to a given parallelogram **and have one of its angles equal to a given rectilineal angle.** 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
| Architecture - 1865
...triangles. 4. Prop. 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.** Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse... | |
| Euclides - 1865
...Therefore if a parallelogram, &c. QED PROP. XLII.— 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.** (References— Prop. I. 10, 23, 31, 38, 41; ax. 6; def. I. 34.) Let ABC be the given triangle, and... | |
| Civil service - 1866
...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 by the whole... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...BC, and between tho same parallels 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...Wherefore, 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... | |
| 1867
...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 by the whole... | |
| Robert Potts - 1868 - 410 pages
...triangle. 104. Describe a right-angled triangle equal to a given triangle to a given parallelogram **and have one of its angles equal to a given rectilineal angle.** 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
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