 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...17), will be equal to the difference of the two given squares. Proof (Th. 9, B. III, and Th. 39, BI) To construct a square equivalent to the sum of two given squares, we have only to draw through any point two lines at right angles, and lay off on one a distance equal... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...17), will be equal to the difference of the two given squares. Proof (Th. 9, B. Ill, and Th. 39, BI) To construct a square equivalent to the sum of two given squares, we have only to draw through any point two lines at right angles, and lay off on one a distance to... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...base and half the altitude (26), and it will be a side of the required square. PROBLEM XXVI. '•(), To construct a square equivalent to a given circle....be a side of the required square. PROBLEM XXVII. 37 i To construct a square equivalent to the siIm of two given squares. Construct a right triangle (9)... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...: у/Ж : : AВ : A' B', § 268 GEOMETRY. BOOK IV. ON CONSTRUCTIONS. PROPOSITION XVI. PROBLEM. 346. To construct a square equivalent to the sum of two given squares. I i Let R and R' be two given squares. lt is required to construct a square = Б + R'. Construct the... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the base and half the altitude (26), and it will be a side of the required square. PROBLEM XXVI. 36. To construct a square equivalent to a given circle....construct a square equivalent to the sum of two given iquares. Construct a right triangle (9) with the sides adjacent to the right angle equal respectively... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...AB : A' B' : : \ß : \¡S7. GEOMETRY. — BOOK IV. ON CONSTRUCTIONS. PROPOSITION XVI. PROBLEM. 346. To construct a square equivalent to the sum of two given squares. Let R and R' be two given squares. It is required to construct a square = R+ R'. Construct the rt.... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...to BC, and draw IK. The rectangles GFDH H F PROBLEMS OF CONSTRUCTION. PROPOSITION XL PROBLEM. 381. To construct a square equivalent to the sum of two given squares. Let R and B' be two given squares. To construct a square equivalent to R' + R. Construction. Construct... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...(382), and then constructing a square equivalent to the triangle (385). Proposition 13. Problem. 387. To construct a square equivalent to the sum of two given squares. GF Given, P and Q the sides of ! | Q ii A the squares. Cons. Draw AB = P. At A construct the rt. ZA,... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...Theorem. Similar polygons are to each other as the squares of their homologous sides. 255. Problem. To construct a square equivalent to the sum of two given squares. 257. Problem. To construct a square equivalent to a given parallelogram. 258. Problem. To construct... | |
 | John Macnie - Geometry - 1895 - 390 pages
...into a triangle, then the triangle into a rectangle, and finally the rectangle into a square. 361. To construct a square equivalent to the sum of two given squares. Draw BC -L to AB, and make AB, SCHOLIUM. It is obvious that, by a continuation of the process, we can... | |
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To construct a square equivalent to the sum of two given squares. 
