| Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...times the sain of the digits ; find the number. Pure Mathematics. 1. 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** rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment.... | |
| Euclides - 1871
...M, N. Shew that the triangle MBN is equal to the triangle MDC. To a given straight line to apply a **parallelogram, which shall be equal to a given triangle, and have one of** it* angle* equal to a given angle. HA Let AB be the given st. line, C the given A, D the given / .... | |
| Euclid, Charles Peter Mason - 1872
...double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that **shall be equal to a given triangle, and have one of its angles equal to a given** rectilineal angle. For the construction necessary in this proposition we must be able, — 1. To join... | |
| Hugo Reid - 1872 - 124 sider
...contact. Problem, 41. 169. On a given straight line to describe a segment of a circle containing an angle **equal to a given angle. Let AB be the given straight line,** and H the given angle. At B make the angle ABD equal to H. Bisect AB in E. At E and B draw perpendiculars... | |
| Euclides, James Hamblin Smith - 1872 - 349 sider
...are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that **shall be equal to a given triangle, and have one of its** a..gles equal to a given angle. B JJ C Let ABC be the given A , and D the given L . It is required... | |
| Henry Major - 1873
...two equal parts ; wherefore ABCD is also double of EBC. XLII. — 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. Bisect BC in E,... | |
| Robert Johnston (F.R.G.S.) - 1873
...also the third angle of the one to the third angle of the other. 2. To a given straight line apply a **parallelogram, which shall be equal to a given triangle, and have one of** ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any... | |
| Edward Atkins - 1874
...&c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which thall **be equal to a, given triangle, and have one of its angles equal to a given** rectilineal angle. GEOMETRY. Make paralleloI.Tam BEFG = A < ', and / at li = i D, and EBAa straight... | |
| Richard Wormell - 1876
...any parallelogram are equal to one another. .. .. .. .. 141 44. 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 16s 45. To describe a parallelogram equal to a given rectilineal figure, and having... | |
| Education Department,London - 1876
...upon the same base and between the fcame parallels are equal. 2. 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. 3. If a straight line he divided into any two parts, the square on the whole line... | |
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