 | Euclides - 1862 - 172 pages
...wherefore alio'ABCD Is double of the triangle EBC. (ax. 1) Therefore if a parallelogram, &c. QED PROP. XLII. — PROBLEM. To describe a parallelogram that...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... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 6. Describe a parallelogram that shall be equal to a...triangle, and have one of its angles equal to a given rectilineal angle. 7. If a straight line be divided into two equal parts and also into two unequal... | |
 | Euclides - 1863 - 74 pages
...radius and of the semi-circumference. PROP. 42. — PROB. To describe a parallelogram that shall lie equal to a given triangle, and have one of its angles equal to a given rectilineal angle. SOL.— P. 10,Pst. 1, P. 23, P. 31, Def. A.— DEM.-P. 38, P. 41, As. 6. Given the... | |
 | Euclides - 1864 - 448 pages
...wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED PROPOSITION XLII. PROBLEM. To describe a parallelogram...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... | |
 | Euclides - 1864 - 262 pages
...wherefore AB CD is also double of the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and hate one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the... | |
 | Henry White - 1864 - 156 pages
...subject of 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... | |
 | Robert Potts - 1865 - 528 pages
...also double of the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED TROPOSITION XLII. PROBLEM. To describe a parallelogram that shall...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... | |
 | Euclides - 1865 - 402 pages
...wherefore also ABCD is double of the triangle EBC. (ax. 1) Therefore if a parallelogram, &c. QED PROP. XLII.— PROBLEM. To describe a parallelogram that...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... | |
 | Architecture - 1865 - 276 pages
...true of 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.... | |
 | Civil service - 1866 - 270 pages
...of the 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... | |
| |
To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
