| Education Department,London - 1876
...three times as great. 1. Triangles upon the same base and between the fcame parallels are equal. 2. **To a given straight line to apply a parallelogram...have one of its angles equal to a given rectilineal** angle. 3. If a straight line he divided into any two parts, the square on the whole line is equal to... | |
| Richard Wormell - 1876
...parallelograms which are about the diagonal of any parallelogram are equal to one another. .. .. .. .. 141 44. **To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal** angle 16s 45. To describe a parallelogram equal to a given rectilineal figure, and having an angle... | |
| James Hamblin Smith - 1876
...produced) in M, N. Shew that the triangle MEN is equal to the triangle MDC. PROPOSITION XLIV. PROBLEM. **To a given straight line to apply a parallelogram,...shall be equal to a given triangle, and have one of** it» angles equal to a given angle. D S Let AB be the given at. line, C the given A, Z> the given L... | |
| Henry Major - 1876
...parallelogram, the other sides will also be parallel. • .. . i .. 3. To describe a parallelogram that **shall be equal to a giVen triangle, and have one of its angles equal to a given** rectillineal angle. Algebra.— 1 . Simplify (1 - a) + (a - 1 ) (6 *-B}, -»(],— a) (6 + c — )... | |
| Euclides, James Hamblin Smith - 1876 - 349 sider
...triangle MDC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which thall **be equal to a given triangle, and have one of its angles** to a given angle. A. £ Let AB be the given st. line, C the given A, D the given L . It is required... | |
| Robert Potts - 1876 - 403 sider
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XL1V. PROBLEM. **To a given straight line to apply a parallelogram, which shall be** equnl to a given triangle, anil have one of its angles equal to a given rectilineal angle. Let AB be... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...equal to one another, and the diameter divides it into two equal parts. (9). 9. Show how to describe **a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given** rectilinear angle, and prove your construction. (10). 10. In a right-angled triangle, show that the... | |
| Edward Atkins - 1877
...Therefore, if a parallelogram, <ic. QED Proposition 42. — Problem. To describe a parallelogram that **shall be equal to a given triangle, and have one of its** anrjles equal to a giceu rectilineal angle. Let ABC be the given triangle, and D the given rectilineal... | |
| W J. Dickinson - 1879 - 36 sider
...the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 44. **To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal** angle. 45. Show how to describe a parallelogram equal to a given rectilineal figure, and having an... | |
| Joseph Wollman - 1879
...triangle RST is equal to the triangle LMN, and the base ST is three times as great as the base MN. QEF 2. **To a given straight line to apply a parallelogram...have one of its angles equal to a given rectilineal** angle. To one of the sides of an equilateral triangle apply an equal parallelogram having one of its... | |
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