| Henry White - 1864 - 156 pages
...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 - 262 pages
...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... | |
| Robert Potts - 1865 - 528 pages
...parallelogram and a triangle, &c. QED TROPOSITION 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. Let** ABC be tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclides - 1865 - 402 pages
...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... | |
| Architecture - 1865 - 276 pages
...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 - 80 pages
...the angle B to E. PROPOSITION XXVII. PROB. At a given point in a given straight line to make an angle **equal to a given rectilineal angle. Let AB be the given straight line, and** A a given point in it, and DCE the given rectilineal angle, it is required to make an angle at the... | |
| Civil service - 1866 - 270 pages
...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 - 426 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... | |
| Henry Major - Student teachers - 1873 - 592 pages
...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 - 120 pages
...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... | |
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