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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 Geometry, with Problems and Application

Herbert Ellsworth Slaught - 1918 - 344 pages
...segment b sought and the external segment is h. For bh = l and bh = s2. § 358 QEF 443. COROLLARY. To construct a parallelogram equivalent to a given square and having the difference of its base and altitude equal to a given line-segment. EXERCISES 1. Construct a rectangle...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...segment b sought and the external segment is h. For . 6 - h = l and bh = s2. § 358 QEF 443. COROLLARY. To construct a parallelogram equivalent to a given square and having the difference of its base and altitude equal to a given line-segment. EXERCISES 1. Construct a rectangle...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...POLYGONS PROBLEMS OF CONSTRUCTION Ex. 1262. To construct a rectangle equivalent to a given square, having the sum of its base and altitude equal to a given line. CF HE HINT. If FE is the given line, and ABCD the given square, make EK= AB. Ex. 1263. To construct...
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Essentials of Plane Geometry

David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...Constructing a Parallelogram 261. Problem. Construct a parallelogram equivalent to a given square, and with the sum of its base and altitude equal to a given line. Given the square s2 with side s, and the line AB. Required to construct a O equivalent to s2, and with...
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Plane Geometry: (Revised)

Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...to the mean proportional. 12. Show that the method of Ex. 1 1 can be used to construct a rectangle equivalent to a given square, and having the sum of its base and altitude equal to a given line. 403. Problem. Construct a polygon similar to a given polygon, having given a side corresponding to...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...parallelogram. 4. Constructing a square having a given ratio to a given square. 5. Constructing a rectangle equivalent to a given square and having the sum of its base and altitude equal to a given line. 6. Constructing a rectangle equivalent to a given square, and having the difference of its base and...
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Great Moments in Mathematics (before 1650)

Howard Whitley Eves - History - 1983 - 292 pages
...find line segments r and s from given line segments p and q. That is, we must construct a rectangle equivalent to a given square and having the sum of its base and altitude equal to a given line segment. Devise a suitable construction based on Figure 24, and show geometrically that for real roots...
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Announcements and Catalogue

University of Mississippi - 1908 - 216 pages
...circle, "the product of the segments of one is equal to the product of the segments of the other. 5. To construct a parallelogram equivalent to a given square and having the difference of its base and altitude equal to a given line. 6. The area of an inscribed regular hexagon...
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