| Timothy Walker - Geometry - 1829 - 158 pages
...FjFB=AB, that is the sum of the base and altitude is equal to the given line. 111. PROBLEM. — To make **a parallelogram equivalent to a given square, and...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.... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...Secondly A F+FB=A B, that is the sum of the base and altitude is equal to the given line. 111. — To make **a parallelogram equivalent to a given square, and...the difference of its base and altitude equal to a** giren line — . Let the side of the given square be equal to AD (fig. 74) and let the given line be... | |
| Benjamin Peirce - Geometry - 1847 - 150 pages
...polygon. That is, by § 280, the circle of which R is the radius is equal to the given polygon. 297. **Problem. To construct a parallelogram, equivalent to a given square, and having the** sum of its base and altitude equal to a given line. Solution. Upon the given line AB (fig. 138) as... | |
| Benjamin Peirce - Geometry - 1865 - 186 pages
...are the required base and altitude. Proof. For J1E + EB = JIB, and by § 290, AE X EB = DE* = J1C*. **298. Problem. To construct a parallelogram, equivalent...equal to a given line. Solution. Upon the given line** JIB (fig. 139) as a diameter describe a circle. At Jl draw the tangent AC equal to the side of the... | |
| 1873 - 164 pages
...(State and prove.) 6. To circumscribe a circle about a given regular polygon. (Solve and prove.) 8. **To construct a parallelogram equivalent to a given square and having the** sum of its base and altitude equal to a given line. (Solve and prove.) VIII. 1. Prove that only one... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...means is equal to the product of the extremes). QEF GEOMETRY. BOOK IV. PROPOSITION XXVI. PROBLEM. 359. **To construct, a parallelogram equivalent to a given...difference of its base and altitude equal to a given line.** S --B Let R be the given square, and let the difference of the base and altitude of the required parallelogram... | |
| George Albert Wentworth - Geometry - 1877 - 442 pages
...square equivalent to the sum of a given triangle and a given parallelogram. 4. Construct a rectangle **having the difference of its base and altitude equal to a given line,** and its area equivalent to the sum of a given triangle and a given pentagon. 5. Given a hexagon ; to... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...triangle, and then constructing a square equivalent to the triangle. PROPOSITION XXV. PROBLEM. 357. **To construct a parallelogram equivalent to a given square, and having the** sum of its base and altitude equal to a given line. РГ-&-- --4Q ¡I'— -¡N Let R be the given square,... | |
| George Albert Wentworth - 1881 - 266 pages
...constructing a square equivalent to the triangle. 1 Л h 7 n R ; ! / l «LJ PROPOSITION XXV. PROBLEM. 357. **To construct a parallelogram equivalent to a given square, and having the** sum of its base and altitude equal to a given line. p Sf¿L .7.VX л i/ i \ *4- -J* Let R be the given... | |
| George Albert Wentworth - Geometry - 1888 - 386 pages
...proportional between the segments of the diameter). • Then SC = MCx CN. QEF PROPOSITION XXI. PROBLEM. 393. **To construct a parallelogram equivalent to a given...difference of its base and altitude equal to a given line,** s B Let R be the given square, and let the difference of the base and altitude of the required parallelogram... | |
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