 | Euclid - 1904 - 488 pagine
...parallelogram BH. 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 angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required... | |
 | 1905 - 614 pagine
...together equal to two right angles. 4. 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. 5. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | Euclid - 1908 - 550 pagine
...PROPOSITION 42. To construct, in a given rectilineal angle, a parallelogram equal to a given triangle. Let ABC be the given triangle, and D the given rectilineal angle ; thus it is required to construct in the rectilineal angle D a parallelogram equal to the triangle... | |
 | Association of Ontario Land Surveyors - 1909 - 254 pagine
...Expand in a series of ascending powers of x. 1-x- x* GEOMETRY. 1. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a "iveh rectilineal angle. 2. From one extremity of the base of an isosceles triangle a perpendicular... | |
 | Trinity College (Dublin, Ireland) - 1913 - 568 pagine
...triangle equiangular to a given triangle. 7. 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 given angle. 8. State when two triangles are said to be similar. If two triangles have one angle in each... | |
 | 1904 - 852 pagine
...themselves equal and parallel. 3. To a given right line apply a parallelogram which sluill l>e equal to ii given triangle and have- one of its angles equal to a given angle. 4. Prove that the, sum of the squares on any two lines is equal to twice the square on half... | |
 | 438 pagine
...him. The problem in Euclid I. 44 is " to apply to a given straight line a parallelogram which shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle." The solution of this clearly gives the means of adding togetlier or subtracting any triangles, parallelograms,... | |
 | Royal Statistical Society (Great Britain) - 1845 - 786 pagine
...and of Europe. GEOMETRY. — Senior. 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 given rectilineal angle. 2. If a straight line be divided into any two parts, the square on the whole is equal to the sum of... | |
 | British Columbia. Superintendent of Education - 1893 - 812 pagine
...in one and the same straight line. 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 be bisected and produced to any point ; the rectangle contained by the whole... | |
 | Education Department - 1879 - 1118 pagine
...none, of their other parts equal. 7. 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. On the diameter of a square construct a parallelogram equal to the square, and having one of its angles... | |
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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. 
