| Euclides, James Hamblin Smith - 1872 - 376 sider
...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 sider
...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...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, join AE, and at the... | |
| Euclides - 1874 - 120 sider
...a triangle is half that of a rectangle having the same baae and altitude. PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be equal to...of its angles equal to a given rectilineal angle. * Let ABC be the given triangle, and D the given ' • rectilineal angle : it is required to describe... | |
| Edward Atkins - 1874 - 426 sider
...1). Therefore, if a parallelogram, &c. QED Make BE = EC and ZCEF=D AP Proposition 42. — Problem. To describe a parallelogram that shall be equal to...of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle ; It is required to describe a parallelogram... | |
| Euclides - 1874 - 342 sider
...the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED PROPOSITION 42. — Problem. To describe a parallelogram that shall be equal to...of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Braithwaite Arnett - 1874 - 130 sider
...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... | |
| Edward Atkins - 1874 - 428 sider
...&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.... | |
| Edward Atkins - 1876 - 130 sider
...double of the triangle EEC (Ax. 1). Therefore, if a parallelogram, &c. QED Proposition 42.— Problem. To describe a parallelogram that shall be equal to...of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle; It is required to describe a parallelogram... | |
| Henry Major - 1876 - 784 sider
...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 — )... | |
| Euclides, James Hamblin Smith - 1876 - 376 sider
...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... | |
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