 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...the area of the equilateral triangle inscribed in a circle of radius R equals \ R* A/3 . 6. Construct a square equivalent to the sum of any number of given squares. Prove your construction. 7. When is a line said to be the locus of all points satisfying a given condition?... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...difference of the areas of two squares whose sides are 35 and 37. PROPOSITION XIII. PROBLEM 425 To construct a square equivalent to the sum of any number of given squares. DATA. a, b, c, d, are sides of given squares. REQUIRED. To construct a square equivalent .to the sum... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...difference of the areas of two squares whose sides are 35 and 37. PROPOSITION XIII. PROBLEM 425 To construct a square equivalent to the sum of any number of given squares. DATA, a, b, c, <l, are sides of given squares. REQUIRED. To construct a square equivalent to the sum... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...To construct a square equivalent to the difference of two given squares. 253. COR. 2. To construct a square equivalent to the sum, of any number of given squares. 254. COR. 3. To construct a square equivalent to any whole number of times a given square. 371. Given... | |
 | Geometry, Plane - 1911 - 192 pages
...the area of the equilateral triangle inscribed in a circle of radius R equals %R 2 V3. 6. Construct a square equivalent to the sum of any number of given squares. Prove your construction. 7. When is a line said to be the locus of all points satisfy ing a given condition?... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 318 pages
...equivalent to the difference of two given squares. Show how this construction can be made. 3. To construct a square equivalent to the sum of any number of given squares. 4. To construct a triangle equivalent to a given triangle and with a given base. Explain the construction.... | |
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Construct, by ยง 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. 
