 | Euclides - 1865 - 402 σελίδες
...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... | |
 | 1865 - 276 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1867 - 424 σελίδες
...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...D the given rectilineal angle : it is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle : it is... | |
 | 1867 - 224 σελίδες
...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 - 434 σελίδες
...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... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...; 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 σελίδες
...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,... | |
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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. 
