| Euclides - 1862 - 172 pages
...42, 44 ; ax. 1,2; i. 34, def.) Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. CONSTRUCTION Join AC, and describe the parallelogram FH equal to the triangle ABC, and having the angle... | |
| Euclides - 1862 - 140 pages
...the angle ABM equal to the angle DQEF PROPOSITION 45.— PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. (References— Prop. I. 14, 29, 30, 42, 44; ax. 1, 2; def. 35.) Sought. — It is... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...without the triangle, between the perpendicular and the obtuse angle. 10. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. V. Algebra. 1. If a = i, b = — i, c = 2, find the value of 2. From (a+i)2x—... | |
| Euclides - 1864 - 448 pages
...angle ABM equal to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It... | |
| Euclides - 1865 - 402 pages
...sides. 29. Bisect a triangle by a line drawn parallel to one of its sides. 30. Describe a rhombus, equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 31. Through a given point draw a line so that, if perpendiculars be dropped upon... | |
| Robert Potts - 1865 - 528 pages
...angle ABM equal to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It... | |
| John Playfair - Geometry - 1855 - 360 pages
...equal to a given twtilineal angle. ABCD be the given rectilineal figure, ami E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and bartag an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH equal to the triangle... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle: it is required to describe a parallelogram equal to ABCD, and having an angle equal to E. HM Join DB, and describe the parallelogram FH equal to the triangle ADB, and having the angle FKH equal... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...having the angle ABM equal to the angle DQEF PROPOSITION 45. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal aiiffle. Let A BCD be the given rectilineal figure, and E the given rectilineal angle:... | |
| 1868 - 344 pages
...opposite to the fqual angles of any triangle, are equal. Prove UUi. 6. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 1. All the three angles of a triangle are equal to two right angles. Prove this,... | |
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