 | Euclid - Geometry - 1765 - 492 pages
...parallelogram will be double to the triangle, Which was to be demonftrated. PROP. XLII. PROBL. To ccnjlitute a parallelogram equal to a given triangle, and having one of its angles equal to a given right-lined angle. 37.] is equal to the A> ^ ,£ lined angle D; it is required to conftitute a parallelogram... | |
 | Euclides - 1826 - 226 pages
...triangle EBC. If therefore a parallelogram and a triangle, &c. QED PROPOSITION XLII. PROBLEM. To make a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal, angle, Let ABC be a given triangle, and D a given rectilineal angle. It is required to... | |
 | Euclid - 1826 - 234 pages
...triangle EBC. If therefore a parallelogram and a triangle, &c. QED PROPOSITION XLII. PROBLEM. To make a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let ABC be a given triangle, and D a o.iven rectilineal angle. It is required to... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...is also double of the triangle EBC. Therefore, if a parallelogram, &c. PROP. XLII. PROB. To describe a parallelogram equal to a given triangle, and having one of its angles equal to a given angle. Let ABC be the given triangle, and D the given angle. It is required to describe a parallelogram equal... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...also double of the triangle EBC. Therefore, if a parallelogram, &c. PROP. XLII. PROB. — To describe a parallelogram equal to a given triangle, and having one of its angles equal to a given angle. Let ABC be the given triangle, and D the given angle : it is required to describe a parallelogram equal... | |
 | Popular educator - 1854 - 922 pages
...the greater, and the less to the less. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, equal to a given triangle, and having one of its angla equal to a given rectilineal angle. In fig. 44, let A n be the given straight line, с the given... | |
 | Euclides - 1855 - 270 pages
...the diagonal of the parallelogram, are equal. PROP. XLIV. PROBLEM. To a given straight line to apply a parallelogram, equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal... | |
 | War office - 1861 - 714 pages
...be produced, the exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given triangle, and having one of its angles equal to a right angle ; what is such a parallelogram called ? 3. If a straight line be divided into any two parts,... | |
 | Great Britain. Education Department. Department of Science and Art - 1869 - 98 pages
...places, correctly ; either by arithmetic or by logarithms. b. Show how to apply to a given straight line a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle. c. Find a square that shall be equal to a given rectangle. d. Show how to describe... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...line between the point of division and the middle point of the line. SECTION 2. PROBLEMS. PROB. i. To construct a parallelogram equal to a given triangle...and having one of its angles equal to a given angle. PROB. 2. To construct a parallelogram on a given base equal to a given triangle and having one of its... | |
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To construct a parallelogram equal to a given triangle and having one of its angles equal to a given angle. 
