| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| George Albert Wentworth - Geometry, Plane - 1882 - 268 pages
...; .PP. *-. i •'e = ^' .'. P' is equivalent to Ç, and is similar to P by construction. QEF Е£Г **1. Construct a square equivalent to the sum of three...triangle and a given pentagon. 5. Given a hexagon ; to** const^ît a similar hexagon whose area shall be to that of the given hexagon as 3 to 2. 6. Construct... | |
| 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... | |
| 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... | |
| 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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