| Benjamin Peirce - Geometry - 1847 - 150 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 - 150 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 - 150 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 - 150 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 - 238 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 - 398 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 - 1881
...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 - 374 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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