| Yale University - 1898 - 212 pages
...either of its equal sides, in terms of R ; also, to compare its area with the area of the circle. 4. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. 5. If two planes be perpendicular to the same straight... | |
| Mathematics - 1898 - 228 pages
...either of its equal sides, in terms of R ; also, to compare its area with the area of the circle. 4. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. 5. If two planes be perpendicular to the same straight... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...NOTE. This problem may be stated as follows : PROBLEMS OF CONSTRUCTION. PROPOSITION XVII. PROBLEM. 425. To construct a parallelogram equivalent to a given...difference of its base and altitude equal to a given line. Let R be the given square, and let the difference of the base and altitude of the required parallelogram... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...=0= MC x CN. § 327 NOTE. This problem may be stated as follows : QEF PROPOSITION XVII. PROBLEM. 425. To construct a parallelogram equivalent to a given...difference of its base and altitude equal to a given line. s ~7 Let R be the given square, and let the difference of the base and altitude of the required parallelogram... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...EF : CF ; BF X CF = EF2; that is, H=0=A. Proposition XXVIII 371. Problem. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. Data : Any square, as A, and the line BC. Required to construct a rectangle equivalent to A, and having... | |
| William James Milne - Geometry - 1899 - 398 pages
...that is, BF : EF = EF : CF ; BF X CF = EF2; Proposition XXVIII 371. Problem. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. H Data : Any square, as A, and the line BC. Required to construct a rectangle equivalent to A, and... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...and product given. ., /~ L ij * B \ \ \ 191 Proposition 189. Problem. 225. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. To construct a rectangle equivalent to the square S, and having the difference of its base and altitude... | |
| Webster Wells - Geometry - 1899 - 424 pages
...GEOMETRY. — BOOK IV. PROP. XV. PROBLEM. 334. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. P \0 E Given square M, and line AB. Required to construct a rectangle =c= M, having the difference... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...equivalent to the sum of a given triangle and a given parallelogram. Ex. 591. To 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. Ex. 592. To construct... | |
| George Albert Wentworth - Geometry - 1899 - 498 pages
...constructing a square equivalent to the triangle. BOOK IV. PLANE GEOMETRY. PROPOSITION XVI. PROBLEM. 424. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. Let R be the given square, and let the sum of the... | |
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