| Benjamin Peirce - Geometry - 1847 - 204 pages
...side of the less square ; and AC is the side of the required square. . . Proof. For, by § 257, ^C2 = BC2— AB2. 263. Problem. To make a square equivalent...AC, and equal to the side of the third given square. To make a Square in a give i Ratio to a given Square. Join AD, and draw DE, perpendicular to AD, and... | |
| Benjamin Peirce - Geometry - 1869 - 182 pages
...equal to the side of the less square; and AC is the side of the required square. Proof. For, by § 257, 263. Problem. To make a square equivalent to the sum...Solution. Take AB (fig. 132) equal to the side of ono of the given squares. Draw BC, perpendicular to AB, and equal to the side of the second given square.... | |
| Benjamin Peirce - Geometry - 1865 - 184 pages
...less square ; and AC is the side of the required square. Proof. For, by § 257, AC* = BC*— JIB2. 263. Problem. To make a square equivalent to the sum of any number of given squares. Solution. Take JIB (fig. 132) equal to the side of ono of the given squares. Draw BC, perpendicular to JIB, and equal... | |
| Benjamin Peirce - Geometry - 1869 - 194 pages
...the side of the less square ; and AC is the side of the required square. Proof. For, by § 257, AC2 = BC2— AB2. 263. Problem. To make a square equivalent...Solution. Take AB (fig. 132) equal to the side of ono of the given squares. Draw BC, perpendicular to AB, and equal to the side of the second given square.... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...be a side of the required square (II. 27). 38. Scholium. By continuing the same process we can find a square equivalent to the sum of any number of given squares. PROBLEM XXVIII. 39. To construct a square equivalent to the difference of two given squares. Construct... | |
| William Frothingham Bradbury - Geometry - 1872 - 262 pages
...be a side of the required square (II. 27). 38. Scholium. By continuing the same process we can find a square equivalent to the sum of any number of given squares. PROBLEM XXVIII. 39. To construct a square equivalent to the difference of two given squares. Construct... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...S = R' — R. .". S is the square required. R Ri B*. APROPOSITION XVIII. PROBLEM. 348. To construct a square equivalent to the sum of any number of given squares. \ F/ \ A \ \ \ r Let m, H, o, p, r be sides of the given squares. It is required to construct a square... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...be a side of the required square (II. 66). 38. Scholium. By continuing the same process we can find a square equivalent to the sum of any number of given squares. PROBLEM XXVIII. 39. To construct a square equivalent to the difference of two given squares. PROBLEM... | |
| George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...required. QE F R R в\ ! \ , R A' ->;— x - --- ~' С PROPOSITION XVIII. PROBLEM. 348. To construct a square equivalent to the sum of any number of given squares. о P Í&B m Let m, n, o, p, r be sides oí the given squares. It is required to construct a square... | |
| John Macnie - Geometry - 1895 - 386 pages
...Then 2 2 2 SCHOLIUM. It is obvious that, by a continuation of the process, we can obtain the side of a square equivalent to the sum of any number of given squares. 362. To construct a square equivalent to the difference of two given squares. Draw BM A. to BN, and... | |
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