 If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts.  Guide to the Civil service - Page 123by Henry White - 1864Full view - About this book
 | Edward Atkins - 1876 - 130 pages
...together with the rectangle AC, CB. Therefore, if a straight line, &c. QED Proposition 4.— Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle... | |
 | Scotland free church - 134 pages
...equal to one another. Or—Any two angles of a triangle are together less than two right angles. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...middle points of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square of the whole line is equivalent to the squares of the two parts, together with twice the rectangle contained by the parts.... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...because AB=BD. Therefore AB"=AB. AC+AB.CB. PROPOSITION XVI.—THEOREM. If a straight line be divided into two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle contained by the parts. Let AB be a straight... | |
 | Āryabhaṭa - 1878 - 100 pages
...equal to the rectangles contained by the whole line and each of its parts. PROP. xxvii. THEOREM. (E. 2. 4.) If a straight line be divided into any two parts, the squart of the whole line is equal to the squares of the parti and twice the rectangle contained by... | |
 | J T. Amner - 1878 - 226 pages
...that four right-angled triangles of equal area can be drawn having the same hypotenuse. Section 3. 1. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Moffatt and Paige - 1879 - 378 pages
...square be described upon the semi-diameter of another square; compare the areas of the squares. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Moffatt and Paige - 1879 - 506 pages
...CB together with the square on B C. Therefore, if a straight line, etc. QED Proposition IV. Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...one part may be twice the square on the other part. 4. Define a rectangle and a square. Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
 | Joseph Wollman - 1879 - 120 pages
...the side GL, and it has been proved that the angle GLM is equal to that of the given triangle. QEF 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
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