 | Euclid - 1826 - 234 Seiten
...complement KC. Therefore the complements, &c. QED PROPOSITION XLIV. PROBLEM.* To a given right line to apply a parallelogram equal to a given triangle, and...having an angle equal to a given rectilineal angle, Let AB be the given right line, c the given triangle, and D the given rectilineal angle. It is required... | |
 | Euclides - 1826 - 226 Seiten
...complement кс. Therefore the complements, Sic. QED PROPOSITION XLIV. PROBLEM.* To a given right line to apply a parallelogram equal to a given triangle, and...having an angle equal to a given rectilineal angle. c the given triangle, and D the given i Let AB be the given right line, rectilineal angle. It is required... | |
 | Euclides - 1833 - 304 Seiten
...figures are equilat. to each other, and also rectangular. PROP. 44. THEOR. To a given right line, to apply a parallelogram equal to a given triangle, and having an angle equal to a given one. If the base of the given triangle and the given right line be not in directum ; produce the given... | |
 | Euclides - 1840 - 82 Seiten
...about the diagonal of a parallelogram, are equal. AH PROP. XLIV. PROB. To a given straight line to apply a parallelogram equal to a given triangle, and having an angle equal to a given rectilinear angle. EH PROP. XLV. PROB. To construct a parallelogram equal to a given rectilinear figure,... | |
 | Euclides - 1846 - 272 Seiten
...similarily 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 given angle (V.) First, let the given triangle be GHO, one of whose sidesGO, forms a continuation HB co of... | |
 | Euclides - 1852 - 48 Seiten
...the complements BG and GD, which are equal (Ax. 3.). WWD PBOP. XLIV. PBOB. To a given right line to apply a parallelogram, equal to a given triangle, and having an angle equal to a given one. Let ABC be the given triangle, cr the given line, and D the given angle; it is required to apply... | |
 | 1857 - 400 Seiten
...ax + a-, Quest. 3. Divide x* — Si i/1 by x — 3 y. Euclid. Quest. 1. To a given straight line to apply a parallelogram equal to a given triangle, and...having an angle equal to a given rectilineal angle. Quest. 2. Equal triangles upon the same base and upon the same side of it, are between the same parallels.... | |
 | War office - 1858 - 578 Seiten
...from a given point without it. What is the necessity of the condition marked in italics I 2. Describe a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1. Describe a circle about a given triangle; if the sides of the triangle are respectively... | |
 | Samuel H. Winter - 1859 - 56 Seiten
...respectively parallel to BA and A F. AFDB will be the square required (Euc. i. 46). PROBLEM XVI. To describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. Let PQR (PI. II. Fig. 12) be the given triangle. Bisect any side QR in S. Make the angle RSA... | |
 | Eucleides - 1860 - 396 Seiten
...given rectilineal angle. Upon a given finite straight line to construct a parallelogram equal in area to a given triangle, and having an angle equal to a given rectilineal angle. To construct a parallelogram equal in area to a given rectilineal figure, and having an angle equal... | |
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To describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. 
