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" To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. "
Elements of Plane and Solid Geometry - Page 201
by George Albert Wentworth - 1877 - 398 pages
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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 square, and having the difference of its base and altitude equal to a given line. s ~7 Let R be the given square, and let...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...to their sum. PROPOSITION XXI. PROBLEM 378. To construct a rectangle equivalent to a given square, having the sum of its base and altitude equal to a given line. K DG 'F HE Given. A square ABCD and a line EF. Required. To construct a rectangle equivalent to ABCD,...
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...to their sum. PROPOSITION XXI. PROBLEM 378. To construct a rectangle equivalent to a given square, having the sum of its base and altitude equal to a given line. F HE Given. A square ABCD and a line EF. Required. To construct a rectangle equivalent to ABCD, having...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...to their sum. PROPOSITION XXI. PROBLEM 378. To construct a rectangle equivalent to a given square, having the sum of its base and altitude equal to a given line. CF HE Given. A square ABCD and a line EF. Required. To construct a rectangle equivalent to ABCD, having...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...— To construct two straight lines whose sum and product are 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...
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Annual Reports of the Secretary of War, Volume 4

United States. War Department - 1903 - 438 pages
...triangle is the mean proportional between the hypotenuse and its adjacent segments. 4. Problem. — To construct a parallelogram equivalent to a given square, and having the difference of its base altitude equal to a given line. 5. Theorem.— Of all isoperimetric triangles...
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Annual Reports of the War Department, Volume 4

United States. War Department - 1903 - 446 pages
...triangle is the mean proportional between the hypotenuse and its adjacent segments. 4. Problem. — To construct a parallelogram equivalent to a given square, and having the difference of its base altitude equal to n given line. 5. Theorem.— Of all isoperimetric triangles...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...equivalent to the triangle. B / / C R JL S'" , BOOK IV. PLANE GEOMETRY. PROPOSITION XVI. PROBLEM. 424. To construct a parallelogram equivalent to a given...base and altitude of the required parallelogram be equal to the given line MN. To construct a O equivalent to R, with the sum of its base and altitude...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...use Arts. 407 and 406. CONSTRUCTION PROBLEMS PROPOSITION XVI. PROBLEM 409. To construct a rectangle equivalent to a given square, and having the sum of its base and altitude equal to a given line. / •/ ! E Given the square 8 and the line AB. To construct a rectangle equivalent to 8, and having...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...use Arts. 407 and 406. CONSTRUCTION PROBLEMS PROPOSITION XVI. PROBLEM 409. To construct a rectangle equivalent to a given square, and having the sum of its base and altitude equal to a given line. \ E Given the square S and the line AB. To construct a rectangle equivalent to S, and having the sum...
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