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. Pure mathematics - Page 128by Edward Atkins - 1874Full view - About this book
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles ejuat to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| Dennis M'Curdy - Geometry - 1846 - 166 pages
...triangle EBC (c). Therefore, if a parallelogram, &c. Recite (a) p. 37 ; (b) p. 34 ; (c) ax. 7. 42 P. To describe a parallelogram that shall be equal to a given triangle (ABC,) and have one of its angles equal to a given rectilineal angle (D). Bisect BC in E (a) ; join... | |
| Euclides - 1847 - 128 pages
...perimeter of the gn. A ABC. — QEF ' PROP. XLII. PROB. GEN. ENUN. — To describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. . PART. ENUN. — Let ABC be the the gn. rectilineal Z. ; then it is required to describe a D m = A... | |
| Euclides - 1848 - 52 pages
...base, and between the same parallels ; the parallelogram shall be double of the triangle. PROP. XLII. PROBLEM. To describe a parallelogram that shall be...of its angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram,... | |
| J. Goodall, W. Hammond - 1848 - 390 pages
...Prove that parallelograms upon equal bases and between the same parallels are equal to one another. 2. Describe a parallelogram that shall be equal to a...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
...the complements, 8tc. QED PROP. XLIV. PROB. 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. Let AB be the given straight line, and c the given triangle, and D the given rectilineal angle. It is required... | |
| 1867 - 336 pages
...trapezium has 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
...line on 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 - 316 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
...the complements, &c. QED PROP. XLIV. PROB. 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. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
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