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" To construct a square equivalent to the sum of any number of given squares. "
Elements of Geometry - Page 185
by Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 pages
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 262 pages
...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 a right triangle (11), taking as the hypothenuse a side of the greater square, and for one...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...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 a right triangle (11), taking as the hypothenuse a side of the greater square, and for one...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...the square required. QEF R R1 в \ Ч Л >.• ч 5 , 1 CONSTRUCTIONS. PROPOSITION XVII PROBLEM. 347. To construct a square equivalent to the difference of two given squares. Let R be the smaller square and R' the larger. It ù required to construct a square = К — -R. Construct...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...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 XXIX. 40. To construct a triangle equivalent to a given polygon. Let AD be the polygon. Draw...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...tbe square required. a EF R R1 BÍ \ д. — ...>.-, S CONSTRUCTIONS. PROPOSITION XVII PROBLEM. 347. To construct a square equivalent to the difference of two given squares. Let R be the smaller square and R' the larger. It is required to construct a square — R' — R. Construct...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...г~ S /XV <ч \ \ -ч \ \ X \ \ ч\\\ ч"^ о т n 0 V \ ELEMENTS OF PLANE GEOMETRY. PROBLEM X. 308. To construct a square equivalent to the difference of two given squares. Let о be the side of the larger square, and p the side of the smaller. A¡ S .M Construct a L о,...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...reduce three of them to two, and these two to one; and so of others. Proposition 1 4. Problem. 389. To construct a square equivalent to the difference of two given squares. Given, P and Q the sides of p the squares. GFQ Required, to construct aj ~] square equivalent to their dif-...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...Prove that two mutually equiangular triangles are similar. What are similar polygons ? 4. Show how to construct a square equivalent to the difference of two given squares. 5. Prove that a circle may be circumscribed about, and a circle may be inscribed in any regular polygon....
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...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 on BN lay off BA = the side of the lesser square. From A as center, with radius...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...BC. Construct the square X having its side equal to BC. Xis the required square. (Why?) Q. E . F . 407. CONSTRUCTION. To construct a square equivalent...difference of two given squares. GIVEN two squares, P and.g, of which P is the smaller. To CONSTRUCT a square equivalent to Q— P. Construct a right angle...
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