 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...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 - 1872 - 376 σελίδες
...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 - 1873 - 588 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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.... | |
 | Edward Atkins - 1874 - 428 σελίδες
...&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 line. HBandFE meet.... | |
 | Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...extremities of its opposite sides, are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to...triangle, and have one of its angles equal to a given angle. a js o Let ABO be the given A , and D the given / . It is required to describe a O equal to... | |
 | Henry Major - 1876 - 784 σελίδες
...two adjacent sides of another parallelogram, the other sides will also be parallel. • .. . i .. 3. To describe a parallelogram that shall be equal to...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 — )... | |
| |
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. 
