 | Arthur Schultze - 1901 - 260 pages
...and FH+HE = PROPOSITION XXII. PROBLEM QEF 379. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. E' Given. A square ABCD and a line EF. Required. To construct a rectangle equivalent to ABCD, and having... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...square. » — For, TJI2 : DC* = AB:BC (IV. 11, C. 3) ; DA :DC=DE:DF (IV. 16). PROPOSITION XIII. — PROBLEM. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. Let M equal side of given square ; AB = _^ sum... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...FE. (Why ?) QEF PROPOSITION XXII. PROBLEM 379. To construct a rectangle equivalent to a given square, having the difference of its base and altitude equal to a given line. A Given. A square ABCD and a line EF. Required. To construct a rectangJe equivalent to ABCD, and having... | |
 | United States. War Department - 1903 - 446 pages
...of the right triangle is the mean proportional between the hypotenuse and its adjacent segments. 4. Problem. — To construct a parallelogram equivalent...given square, and having the difference of its base altitude equal to n given line. 5. Theorem.— Of all isoperimetric triangles having the same base... | |
 | United States. War Department - 1903 - 438 pages
...of the right triangle is the mean proportional between the hypotenuse and its adjacent segments. 4. Problem. — To construct a parallelogram equivalent...given square, and having the difference of its base altitude equal to a given line. 5. Theorem.— Of all isoperimetric triangles having the same base... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...Proof. But Or DE=CA. (Why T) (Why T) (Why T) QEF PROPOSITION XVII. PROBLEM 411. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a given line. df -i£ Given the square 8 and the line AB. To construct a rectangle equivalent to S, and having the... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...(Why t) (Why I) QEF BOOK IV. PLANE GEOMETRY PROPOSITION XVII. PROBLEM 411. To construct a rectangle equivalent to a given square, and having the difference of its base and altitude equal to a qiven line. A\Given the square S and the line AB. To construct a rectangle equivalent to S, and having... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...equivalent to the triangle. B / / C R JL S'" , 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... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...Two triangles are similar when their homologous sides are proportional. 3. To construct a rectangle equivalent to a given square and having the difference of its base and altitude equal to a given line. 4. The perimeters of two regular polygons' of the same number of sides are in the same ratio as the... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...equivalent to a given square, and having : I. The sum of its base and altitude equal to a given line. II. The difference of its base and altitude equal to a given line. I . Given : Square S and line CD. Required : To construct a O =0= S, whose base + altitude shall =... | |
| |
To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. 
