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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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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...ABCD the given square, make EK= AB. Ex. 1263. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. EtHINT. If ABCD is the given square and EF the given line, make EG = AB. Ex. 1264. To transform a rectangle...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...ABCD the given square, make EK= AB. Ex. 1263. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. HINT. If ABCD is the given square and EF the given line, make EG = AB. Ex. 1264. To transform a rectangle...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...351. COROLLARY 2. To construct a square equivalent to a given polygon. PROPOSITION XVIII. PROBLEM 352. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. C __!£''_...-, .^ij> AQB Given the square S, and...
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...equal to a given square, and having : I. The sum of its base and altitude equal to a given line. II. The difference of its base and altitude equal to a given line. H C' I ABCGD I. Given : Square 8 and line CD. Required : To construct a O = to S ; base + altitude...
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Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...equivalent to a given polygon. First, apply to the polygon Sec. 384 ; then, Sec. 386. 388. COR. 3. To construct a parallelogram equivalent to a given square and having the sum of Its base and altitude a given line. f DQ b Construction. 1. Extend a side of S, and lay off...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...ABCD the given square, make EK= AB. Ex. 1263. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. \ HINT. If ABCD is the given square and EF the given line, make EG = AB. Ex. 1264. To transform a rectangle...
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Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - 1918 - 344 pages
...? Then h and 6 are the segments sought. For b + h = l and bh = s*. Why ? Q. '-.. F. 441. COROLLARY. To construct a parallelogram equivalent to a given square and having the sum of its base and altitude equal to a given line-segment. EXERCISES 1. Construct a rectangle whose...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...s. Why ? Then h and b are the segments sought. For 6 + h = l and bh = s2. Why ? QEF 441. COROLLARY. To construct a parallelogram equivalent to a given square and having the sum of its base and altitude equal to a given line-segment. EXERCISES 1. Construct a rectangle whose...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...ABCD the given square, make EK= AB. Ex. 1263. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. HINT. If ABCD is the given square and EF the given line, make EG = AB. Ex. 1264. To transform a rectangle...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...rectangle. Since bh — Ix, I : b — h : x. B I H 6 Proposition XXX. Problem 276. Construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. Draw a circle whose diameter is equal to the given line, thus making any diameter of this circle the...
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