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" To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. "
Elements of Plane and Solid Geometry - Page 207
by George Albert Wentworth - 1877 - 398 pages
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...H=o=A. Proposition XXVIII 371. Problem. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. TT tl Data : Any square, as A, and the line BC. Required to construct a rectangle equivalent to A,...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 276 pages
...CONSTRUCTION. PROPOSITION XVII. PROBLEM. 425. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. Let R be the given square, and let the difference of the base and altitude of the required parallelogram...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...FE. (Why ?) QEF PROPOSITION XXII. PROBLEM 379. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. A Given. A square ABCD and a line EF. Required. To construct a rectangJe equivalent to ABCD, and having...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...given. PROPOSITION XIV. — PROBLEM. To construct a parallelogram equivalent to a, given square, and having the difference of its base and altitude equal to a given line. Let M= side of square ; AB dif. of base and altitude. Describe a semicircle on AB; erect I BC = M;...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...R, FH+HE = FE. PROPOSITION XXII. PROBLEM 379. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. Given. A square ABCD and a line EF. Required. To construct a rectangle equivalent to ABCD, and having...
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...and FH+HE = PROPOSITION XXII. PROBLEM QEF 379. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. E' Given. A square ABCD and a line EF. Required. To construct a rectangle equivalent to ABCD, and having...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...(Why T) QEF PROPOSITION XVII. PROBLEM 411. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. df -iŁ Given the square 8 and the line AB. To construct a rectangle equivalent to S, and having the...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...202 PROPOSITION XVII. PROBLEM. 425. To construct a parallelogram equivalent to a I/ given square, and having the difference of its base and altitude equal to a given line. B Let R be the given square, and let the difference of the base and altitude of the required parallelogram...
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Catalogue ...

Yale University. Sheffield Scientific School - 1905 - 1074 pages
...their homologous sides are proportional. 3. To construct a rectangle equivalent to a given square and having the difference of its base and altitude equal to a given line. 4. The perimeters of two regular polygons' of the same number of sides are in the same ratio as the...
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School Science and Mathematics, Volume 10

Education - 1910 - 994 pages
...copious supplies of quadratics. "Construct a parallelogram equivalent to a given square, having the sum of its base and altitude equal to a given line," and its companion problem are comparatively unimportant as geometry. The only excuse for teaching them is to...
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