 | John Playfair - Euclid's Elements - 1844 - 338 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 ejual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
 | Euclid - Geometry - 1845 - 218 pages
...complements, &c. QED PROPOSITION 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... | |
 | Euclides - 1845 - 546 pages
...a parallelogram and a triangle, &c. QED PROPOSITION 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 the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...through any point, &c. PROP. XLIV. PROB. — To a given straight line to applyt a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let AB be a given straight line, C a given triangle, and D a given angle. It is requiredto apply... | |
 | Euclides - 1846 - 292 pages
...triangle EBC. Wherefore, If a parallelogram 8;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 parallelots.... | |
 | 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
...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 AE, and at the point E, in the straight line EC, make the angle CEF... | |
 | 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
...equal to one another. PROP. XLIV. 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. PROP. XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...equal 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... | |
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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. 
