| John Playfair - Geometry - 1860 - 334 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROS. **To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles** e-pial to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| Royal college of surgeons of England - 1860 - 336 pages
...Prove also that the diameters of a parallelogram bisect each other. 7. Describe a parallelogram that **shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 8. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle... | |
| War office - 1861 - 714 pages
...the other two sides of the triangle, but shall contain a greater angle. 2. To a given straight line **apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle.** 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...upon the other two sides of it the angle contained by these two sides is a right angle. 2. Describe **a parallelogram which shall be equal to a given triangle,...of its angles equal to a given rectilineal angle.** VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve the following equation... | |
| Euclides - 1862 - 172 pages
...remaining- complement XX>. (ax. 3.) Wherefore, the complements, &c. QE T>. PROP. XLIV.— PROBLEM. **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** (References — Prop. i. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB he the given straight line, and C... | |
| Euclides - 1863 - 72 pages
...be found, equal to it, and having one side EK, equal to a given line. PKOP. 44.— PROS. To a given **line to apply a parallelogram which shall be equal...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.... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...the same base, and between the same parallels, are equal to one another. 6. To a given straight line **apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle.** 7. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
| Euclides - 1864 - 448 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XL1V. PROBLEM. **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle,** Let AB be the given straight line, and Cthe given triangle, and D the given rectilineal angle. It is... | |
| Henry White - 1864 - 156 pages
...selected Mathematics as a 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 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... | |
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