| Royal college of surgeons of England - 1860 - 336 pages
...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... | |
| John Paxton Hall - 1860 - 186 pages
...the last proposition. PROP. XLIV. — 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.** The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. —... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle. 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 Tertex shall be in a given angle of... | |
| War office - 1861 - 714 pages
...triangle, but shall contain a greater angle. 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.** 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall **be equal to a given triangle, and have one 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 - 140 pages
...&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.** (References— Prop. I. 15, 29, 31, 42, 43; ax. 1, 9, 12.) Given. — Let AB be the given straight... | |
| Euclides - 1862 - 172 pages
...given rectilineal angle. (References — Prop. i. 10, 23, 31, 38, 41; ax. 6; def. i. 34.) Let ABC be **the given triangle, and 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... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...base and between the same parallels are equal to each other. 6. Describe a parallelogram which shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 7. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
| Euclides - 1863 - 74 pages
...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.... | |
| Euclides - 1864 - 448 pages
...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... | |
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