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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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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 158 pages
...equal to the given line. 111. PROBLEM. — To make a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. Let the side of the given square be equal to AD (fig. 74) and let the F 74 given line be A B. SOL....
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...AE X EB = DE2 = AC2. 298. Problem. To construct a parallelogram, equivalent to a given square, and having the difference of its base and altitude equal to a given line. • Solution. Upon the given line AB (fig. 139) as a diameter describe a circle. At A draw the tangent...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...and by 290, AE X EB 298. Problem. To construct a parallelogram, equivalent to a given square, and having the difference of its base and altitude equal to a given line. Solution. Upon the given line AB (fig. 139) as a diameter describe a circle. At A draw the tangent...
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Harvard Examination Papers

1873 - 164 pages
...triangle equivalent to a given polygon. 8. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. IX. 1. Prove that when oblique lines are drawn from a point in a perpendicular to points unequally...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...rectangle R, having SB for its base and SC for its altitude. R is the rectangle required (359). Ex. 5. Given a hexagon; to construct a similar hexagon...area shall be to that of the given hexagon as 3 to 2. Let P be the given hexagon; and let m be the linear unit of measure. On the indefinite line LR, take...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...У. PROPOSITION XXVI. PROBLEM. 359. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. S ТГ ~~7 У \ У 'в Let R be the given square, and let the difference of the base and altitude of...
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Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1882 - 268 pages
...; .PP. *-. i •'e = ^' .'. P' is equivalent to , and is similar to P by construction. QEF ЕГ 1. Construct a square equivalent to the sum of three...triangle and a given pentagon. 5. Given a hexagon ; to const^t a similar hexagon whose area shall be to that of the given hexagon as 3 to 2. 6. Construct...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 274 pages
...9.C_F. PROPOSITION XXI. PROBLEM. 393. To construct a parallelogram equivalent to a 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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A Text-book of Geometry

George Albert Wentworth - Geometry - 1895 - 458 pages
...known. PBOPOSITION XXI. PEOBLEM. 393. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given lino. R' ~7 Let R be the given square, and let the difference ot the base and altitude of the required...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - Geometry - 1896 - 296 pages
...the 7 (g 389). Then construct a square equivalent to the sum of these two squares (g381). Ex. 469. Construct a rectangle having the difference of its...the sum of a given triangle and a given pentagon. CONSTRUCTION. Construct a square equivalent to the given A (g 390). Construct a square equivalent to...
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