| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...another, what is the ratio of their areas ? EXERCISES OP GREATER DIFFICULTY Ex. 934. Construct a rectangle equivalent to a given square and having the sum of its base and altitude equal to a given line. X ft IT-* B /*' x **- L -y- L - J ' Ex. 935. Construct a rectangle equivalent to a given triangle and... | |
| Geometry, Plane - 1911 - 192 pages
...corresponding altitudes have the same ratio as any two homologous sides. 3. To construct a rectangle equivalent to a given square and having the sum of its base and altitude equal to a given line. 4. The area of a regular polygon is equal to one-half the product of its apothem and perimeter. the... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...6 and 7. 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 ,-' ~~^6 K HE HINT. If FE is the given line, and ABCD the given square, make EK= AB. Ex. 1263. To... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...6 and 7. 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. HINT. If FE is the given line, and ABCD the given square, make EK= AB. Ex. 1263. To construct a rectangle... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...geometrically the algebraic problem, given x + y = a, xy = 6, to find x and ?/. PROPOSITION XIX. PROBLEM 353. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line, c K I \£ — ... / 1 7 • * \ \ / I y... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...Ax. 8 But P = AQxQB, §322 and S = CA". § 320 .-.P= S, by Ax. 8. QED PROPOSITION XIX. PROBLEM 353. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. c \ vy - — -5 Given the square S, and... | |
| Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...SUPPLEMENTARY PROBLEMS PROPOSITION XIV. PROBLKM 350. Construct a rectangle equal to a given square, having the sum of its base and altitude equal to a given segment. C. E Given square M and segment AB. Required to construct a rectangle = M, having the sum... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...equivalent to a given polygon. First, apply to the polygon Sec. 384 ; then, Sec. 386. 388. COR. 3. To construct a parallelogram equivalent to a given...square and having the sum of Its base and altitude a given line. f DQ b Construction. 1. Extend a side of S, and lay off on it PQ. 2. On PQ draw a semicircle.... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...SUPPLEMENTARY PROBLEMS PROPOSITION XIV. PROBLEM 350. Construct a rectangle equal to a given square, having the sum of its base and altitude equal to a given segment. CD, . ---" -- E Given square M and segment AB. Required to construct a rectangle = M, having... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...equal to A. 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. B K 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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