 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...Shaving its side equal to AB. X is the required square. (Why?) q. EF 408. CONSTRUCTION. To construct a square equivalent to the sum of any number of given squares. d. Cm GIVEN a, b, c, d, the sides of given squares. To CONSTRUCT — a square equivalent to the sum... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...Shaving its side equal to AB. X is the required square. (Why?) p.. EF 408. CONSTRUCTION. To construct a square equivalent to the sum of any number of given squares. d. c. bGIVEN a, b, c, </, the sides of given squares. To CONSTRUCT — a square equivalent to the sum... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...squares. 382. To construct a square equivalent to the difference of two given squares. 383. To construct a square equivalent to the sum of any number of given squares. 384. To construct a polygon similar to two given similar polygons and equivalent to their sum. 385.... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...equal to CB, •will be equivalent to D plus E. Proof.—For Or §235 QEF 294. COR.—To construct a square equivalent to the sum of any number of given squares. Given—m, n, p, and r the sides of four squares. Required—To construct a square equivalent to the... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...= ~A1? : A'B''. But P:P' = ZB2 : A'B''. § 412 .'.P:Q = P:P'. Ax. 1 .:P'^QQEF Ex. 381. To construct a square equivalent to the sum of any number of given squares. PROPOSITION XIX. PROBLEM. 427. To construct a square which shall have a given ratio to a given square.... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...m2, and Q =0 n2. P:P' = JTf : ~AJ'\ Q. Const. § 338 Const. §412 Ax. 1 QE F Ex. 381. To construct a square equivalent to the sum of any number of given squares. 204 PROPOSITION XIX. PROBLEM. 427. To construct a square which shall have a given ratio to a given... | |
 | William James Milne - Geometry - 1899 - 396 pages
...GF. Then, C is the required square. QEF A B C \. \ 196 Proposition XXII 364. Problem. To construct a square equivalent to the sum of any number of given squares. H Data: Any squares, as A, B, and C. Required to construct a square equivalent to A + B + C. Solution.... | |
 | F. J. Beck - 1899 - 288 pages
...twice the product of one of those sides and the projection of the other upon that side. 6. To construct a square equivalent to the sum of any number of given squares. 7. If the number of sides of a regular inscribed polygon be increased indefinitely, the apothegm will... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...be a side of the required square (Theorem LX). Scholium. By continuing the same process we can find a square equivalent to the sum of any number of given squares. PROBLEM XXIV. 25. To construct a square equivalent to the difference of two given squares. Construct... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...— AIJ : A 2f . § «5oo But P om?, and Q o ?i2. Const. But §412 Ax. 1 QEF Ex. 381. To construct a square equivalent to the sum of any number of given squares. 204 PROBLEMS OF CONSTRUCTION. PROPOSITION XIX. PROBLEM. 427. To construct a square which shall have... | |
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Construct, by § 145, a right triangle, of which the hypothenuse BC (fig. 79) is equal to the side of the greater square, and the leg AB is equal to the side of the less square ; and AC is the side of the required square. 
