| J. Goodall, W. Hammond - 1848 - 388 pages
...bases and between the same parallels are equal to one another. 2. Describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 3. Prove that if the square described upon one of the sides of a triangle be equal to the squares described... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...BBC. Therefore if a parallelogram, &c. QED PROP. XLII. PROB. 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... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...angle; that is to say, a segment such, that all the angles inscribed in it, shall be equal to the given **angle. Let AB be the given straight line, and C the given** angle. 1L, \ E OProduce AB towards D; at the point B, make the angle DBE=C; draw BO perpendicular to... | |
| Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...terminated at the other extremity. 2. To a given straight line to apply a ]>aral!t'logram which shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** Section 2. 1. If a straight line be bisected and produced to any point, the rectangle contained by... | |
| 1867 - 336 pages
...two of its opposite sides parallel. 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** mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one... | |
| 1851 - 382 pages
...which they stand, ...... 2. To a given straight line to apply a parallelo— 18 1 gram, which shall **be equal to a given triangle, and have one of its angles equal to a given** angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the... | |
| 1852 - 314 pages
...triangle is opposite the greater angle. 3. 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** * Riven rectilineal angle. SECTION II. 1. If a straight line be divided into any two parts, the square... | |
| Euclides - 1852 - 152 pages
...EEC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. 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... | |
| Education - 1852 - 512 pages
...right angles as the figure has sides. 3. 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.** SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole line,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...Therefore, if a parallelogram, etc. QED PROPOSITION XLIL PROB. 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... | |
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