 | McGill University - 1865 - 332 pages
...то 1 PM EUCLID— ARITHMETIC. Examiner, ...................... ALEXANDEB JOHNSON, LL.D. 1. Construct a parallelogram equal to a given triangle, and having an angle equal to a given one. 2. If a line be bisected and produced, the rectangle under the whole line thus produced and the... | |
 | E. M. Reynolds - Geometry - 1868 - 172 pages
...the locus of the vertex of a triangle of constant area on a given base ? CONSTRUCTIONS. 1. CONSTRUCT a parallelogram equal to a given triangle, and having an angle equal to a given angle. Bisect the base of the triangle, and through the point of bisection draw a line making with the base... | |
 | Euclid - Geometry - 1872 - 284 pages
...similarly demonstrated that EK is a square. PROPOSITION XLIV. PROBLEM. To a given right line (OS) to apply a parallelogram, equal to a given triangle, and having an angle equal to a "iven angle (V). First, let the given triangle be GHO one of whose sides GO,forms a continuation H... | |
 | André Darré - 1872 - 226 pages
...the sum of any number of similar figures. II. On a given line to construct a parallelogram equivalent to a given triangle and having an angle equal to a given angle. Let HE (Fig. 105) Fig. m. be the given line, BCD the given triangle, and A the given angle. c_ Bisect BD... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...QP. Hence, PR, RS, SP are respectively = PR, RQ, QP. .-. the L PRSis = the L PRQ, (1-5) PROBLEM L. Describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. If Let FGH be the given A , and K the given angle. It is required,.to describe a £7 = A FGH and having... | |
 | 1880 - 160 pages
...sides of a triangle with the opposite angular points meet in one point. 5. On a given straight line describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. ABC is a triangle, D any point in the side BG ; find a point E in BA produced, so that the triangle... | |
 | Palaestra Oxoniensis - 1884 - 204 pages
...about the diameter of any parallelogram are equal to one another. (9) To a given straight line apply a parallelogram equal to a given triangle and having an angle equal to a given rectilineal angle. 19. Enunciate the Propositions from which the following Corollaries are deduced... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...double the triangle.) PROBLEM XIII. 259. On a given sect as base, to describe a parallelogram equivalent to a given triangle, and having an angle equal to a given angle. I GIVEN, fhe sect AB, A CDF, £ G. REQUIRED, to describe on AB a parallelogram = A CDF, while having... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...parallelograms about the diagonal BD. V. Problems. PROBLEM XII. 258. To describe a parallelogram equivalent to a given triangle, and having an angle equal to a given angle. GIVEN, A ABC and 4 G. REQUIRED, to describe a parallelogram = A ABC, while having an angle = £G. CONSTRUCTION.... | |
 | University College, Dundee - 1889 - 358 pages
...usual methods of measuring an angle. Through what angle does the earth turn in an hour ? 4. Construct a parallelogram equal to a given triangle and having an angle equal to a given angle. How many such parallelograms can you obtain by your construction ? 5. If a straight line be divided... | |
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To describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. 
