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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. "
An Elementary Treatise on Plane and Solid Geometry - Page 92
by Benjamin Peirce - 1871 - 150 pages
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...NOTE. This problem may be stated as follows : PROBLEMS OF CONSTRUCTION. PROPOSITION XVII. PROBLEM. 425. To construct a parallelogram equivalent to a given...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

George Albert Wentworth - Geometry - 1899 - 500 pages
...=0= MC x CN. § 327 NOTE. This problem may be stated as follows : QEF PROPOSITION XVII. PROBLEM. 425. To construct a parallelogram equivalent to a given...difference of its base and altitude equal to a given line. s ~7 Let R be the given square, and let the difference of the base and altitude of the required parallelogram...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...and product given. ., /~ L ij * B \ \ \ 191 Proposition 189. Problem. 225. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. To construct a rectangle equivalent to the square S, and having the difference of its base and altitude...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...that is, BF : EF = EF : CF ; BF X CF = EF2; 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. H Data : Any square, as A, and the line BC. Required to construct a rectangle equivalent to A, and...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...EF : CF ; BF X CF = EF2; that is, H=0=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. Data : Any square, as A, and the line BC. Required to construct a rectangle equivalent to A, and having...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...GEOMETRY. — BOOK IV. PROP. XV. PROBLEM. 334. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. P \0 E Given square M, and line AB. Required to construct a rectangle =c= M, having the difference...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...equivalent to the sum of a given triangle and a given parallelogram. Ex. 591. To construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon. Ex. 592. To construct...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...constructing a square equivalent to the triangle. BOOK IV. PLANE GEOMETRY. PROPOSITION XVI. PROBLEM. 424. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. Let R be the given square, and let the sum of the...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...triangle, and then constructing a square equivalent to the triangle. PROPOSITION XVI. PROBLEM. 424. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. Let R be the given square, and let the sum of the...
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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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