| John Playfair - 1842 - 332 σελίδες
...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 e-jual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| John Playfair - 1844 - 338 σελίδες
...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... | |
| Euclides - 1845 - 546 σελίδες
...wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED PROPOSITION XLII. PROBLEM. To describe a parallelogram...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... | |
| Euclid - 1845 - 218 σελίδες
...AC divides it into two „ equal parts ; wherefore ABCD is also B '.'. PROPOSITION XLII. PROB. — To describe a parallelogram that shall be equal to...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... | |
| Euclid, James Thomson - 1845 - 382 σελίδες
...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 to AB... | |
| Euclides - 1846 - 292 σελίδες
...parallelogram ABCD is double of the triangle EBC. Wherefore, If a parallelogram 8;c. QED PROP. XLII. PROB. To describe a parallelogram that shall be equal to...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... | |
| Euclid, John Playfair - 1846 - 334 σελίδες
...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 - 1846 - 166 σελίδες
...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 σελίδες
...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... | |
| Euclides - 1848 - 52 σελίδες
...same base, and between the same parallels ; the parallelogram shall be double of the triangle. PROP. XLII. PROBLEM. To describe a parallelogram that shall...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... | |
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