 | Architecture - 1865 - 276 pages
...parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply a parallelogram, which...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... | |
 | Euclides - 1865 - 402 pages
...given triangle, and have one of its angles equal to a given rectilineal angle ......... I. 42. 2. To a given straight line to apply a parallelogram, which...one of its angles equal to a given rectilineal angle . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and having an angle... | |
 | Robert Potts - 1865 - 528 pages
...a parallelogram and a triangle, &c. QED TROPOSITION 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. Let ABC be tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | Euclides - 1865 - 80 pages
...the angle B to E. PROPOSITION XXVII. PROB. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A a given point in it, and DCE the given rectilineal angle, it is required to make an angle at the... | |
 | Civil service - 1866 - 270 pages
...each, and also the third angle 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...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... | |
 | 1867 - 224 pages
...whole and one of the parts may be equal to the square on the other part. 9. To a given straight line apply a parallelogram, which shall be equal to a given...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...EBC. Wherefore, if a parallelogram &c. QED PROPOSITION 42. 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. Let ABC be the given triangle, and D the given rectilineal angle : it is required to describe a parallelogram... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...same base 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 angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle : it is required to describe a parallelogram... | |
 | Edward Atkins - 1877 - 72 pages
...Therefore, if a parallelogram, <ic. QED Proposition 42. — Problem. To describe a parallelogram that shall be equal to a given triangle, and have one of its anrjles equal to a giceu rectilineal angle. Let ABC be the given triangle, and D the given rectilineal... | |
 | Joseph Wollman - 1879 - 120 pages
...RST is equal to the triangle LMN, and the base ST is three times as great as the base MN. QEF 2. To a given straight line to apply a parallelogram which...of its angles equal to a given rectilineal angle. To one of the sides of an equilateral triangle apply an equal parallelogram having one of its angles... | |
| |
PROB. jf 0 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... 
