| Webster Wells - Geometry, Plane - 1908 - 208 pages
...The rain is really falling vertically. What is its velocity ? CONSTRUCTIONS PROP. XI. PROBLEM 294. To construct a square equivalent to the sum of -two given squares. N AB Given squares M and N. Required to construct a square =0= M + N. Construction. Construct a rt.... | |
| Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...surface. 250. CONST. II. To construct a rectangle equivalent to a given triangle. 251. CONST. III. To construct a square equivalent to the sum of two given squares. 252. COR. 1. To construct a square equivalent to the difference of two given squares. 253. COR. 2.... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...equivalent to the rectangle ACKI, with dimensions AB + BC, and AB— BC. PROPOSITION XIV. PROBLEM 344. To construct a square equivalent to the sum of two given squares. AB Given the two squares, R and R'. Required to construct a square equivalent to R + R'. Construction.... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...three algebraic formulas corresponding to the last three exercises. PROPOSITION XIII. PROBLEM 512. To construct a square equivalent to the sum of two given squares. P q Given squares P and Q. To construct a square =c= the sum of P and Q. I. Construction 1. Construct... | |
| Geometry, Plane - 1911 - 192 pages
...meant by the limit of a varying magnitude, and give illustrations drawn from geometry. 4. Show how to construct a square equivalent to the sum of two given squares. 5. Show how to inscribe a regular hexagon in a circle of radius R, and prove that the area of the hexagon... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...15. Construct a fourth proportional to lines whose lengths are V2, V3, V5, respectively. PROBLEM 273. To construct a square equivalent to the sum of two given squares. Given two squares A and B. To construct a square =0= A + B. Construction. 1. Construct a right triangle... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...algebraic formulas corresponding to the last three exercises. a1 ab ab b* PROPOSITION XIII. PROBLEM 512. To construct a square equivalent to the sum of two given squares. P 9 C 9 'B Given squares P and Q. To construct a square =c= the sum of P and Q. I. Construction 1.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...line, this theorem may also be demonstrated by the proof in 326, Book III. PROPOSITION XI. PROBLEM 376. To construct a square equivalent to the sum of two given squares. [The solution is left to the student.] PROPOSITION XII. PROBLEM 377. To construct a square equivalent... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...ACKI, with dimensions AB + BC, and AB — BC. BOOK IV. PLANE GEOMETRY PROPOSITION XIV. PROBLEM 344. To construct a square equivalent to the sum of two given squares. AB Given the two squares, R and R'. Required to construct a square equivalent to B + B'. Construction.... | |
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