 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...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 - 1870 - 270 pages
...3'1416 ; by having any two of these given, we can ascertain the others : thus, D 4A' PROP. 42.— 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. SOL. — P. 10. To bisect a finite st. line.... | |
 | Euclides - 1871 - 136 pages
...parallelogram to the extremities of its opposite sides, are together half of the parallelogram. 5—2 To describe a parallelogram that shall be equal to...triangle, and have one of its angles equal to a given angle. a Let ABC be the given A , and D the given L . It is required to describe ar~l equal to A ABC,... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the AABD. Therefore, it is also the double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that shall be equal to...of its angles equal to a given rectilineal angle. For the construction necessary in this proposition we must be able, — 1. To join two given points... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...parallelogram to the extremities of its opposite sides, 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 - Student teachers - 1873 - 588 pages
...because the diameter ACdivides it into two equal parts ; wherefore ABCD is also double of EBC. XLII. — To describe a parallelogram that shall be equal to...given triangle, and D the given rectilineal angle. Bisect BC in E, join AE, and at the point E in the straight line EC make the angle CEF equal to D ;... | |
 | Braithwaite Arnett - 1874 - 130 pages
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 3. Describe a parallelogram that shall be equal to a...of its angles equal to a given rectilineal angle. 4. If the square described upon one of the sides of a triangle, be equal to the squares described upon... | |
 | Euclides - 1874 - 120 pages
...parallelogram BD. PROPOSITION 44. 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. * Let AB be the given straight line, and C the ' • given triangle, and I) the given rectilineal angle :... | |
 | Edward Atkins - 1874 - 426 pages
...complements, &c. QED Proposition 44. — 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. It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having... | |
 | Euclides - 1874 - 342 pages
...complements, &c. QED PKOPOSITION 44. — 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. HAL Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle.... | |
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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. 
