 | University of Oxford - 1863 - 316 pagina’s
...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...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 parts, the rectangle... | |
 | Euclides - 1863 - 74 pagina’s
...one side EK, equal to a given line. PKOP. 44.— PROS. To a given line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. SOL.— P 42, P. 31, Pit. 1, Put. 2.— Dot.— P. 29, Ax. 9, Ax. 12, P. 43, Ax. 1, P. 15. E.... | |
 | Henry White - 1864 - 156 pagina’s
...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... | |
 | Euclides - 1864 - 262 pagina’s
...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... | |
 | Euclides - 1864 - 448 pagina’s
...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... | |
 | Euclides - 1865 - 402 pagina’s
...triangle upon a given finite straight line . . . . . . . . . I. 1. D. Relating to Parallelograms. 1. To describe a parallelogram that shall be equal to...one of its angles equal to a given rectilineal angle ......... I. 42. 2. To a given straight line to apply a parallelogram, which shall be equal to a given... | |
 | Robert Potts - 1865 - 528 pagina’s
...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 the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
 | 1865 - 276 pagina’s
...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. Theorem. In obtuse... | |
 | John Playfair - 1855 - 350 pagina’s
...EBC PKOP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and fow one of its angles equal to a given rectilineal angle....given triangle, and D the given rectilineal angle. I is required to describe a parallelogram that .shall be equal to the given in angle ABC, and have... | |
 | Civil service - 1866 - 270 pagina’s
...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 by the whole... | |
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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. 
