 | Euclid - 1845 - 218 pàgines
...; wherefore ABCD is also B '.'. PROPOSITION 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... | |
 | Euclid, James Thomson - 1845 - 382 pàgines
...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 pàgines
...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.... | |
 | Dennis M'Curdy - 1846 - 166 pàgines
...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... | |
 | Euclid, John Playfair - 1846 - 334 pàgines
...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... | |
 | Euclides - 1847 - 128 pàgines
...demonstrate these Fig. 2. 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. PART. ENUN. — Let AB be the gn. st. line, c the gn. A, D the gn. rectilineal Z; then it is required... | |
 | Euclides - 1848 - 52 pàgines
...parallelogram shall be double of the triangle. PROP. 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. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram,... | |
 | J. Goodall, W. Hammond - 1848 - 390 pàgines
...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 pàgines
...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... | |
 | Great Britain. Committee on Education - 1850 - 790 pàgines
...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... | |
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To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
