 | Euclides - 1838 - 264 pages
...of CB, is equal to the square of CD. Wherefore, if a straight line, Ac. «,in D. PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
 | Euclides - 1840 - 82 pages
...is equal to the square of the line made up of the half and the produced part. DA PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole line... | |
 | Euclides - Geometry - 1841 - 378 pages
...equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. *36. 1. a * 43. 1. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...straight line be divided into two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. L et the straight line AB be divided into any j^_ CB two parts in the point C ;... | |
 | Euclides - 1842 - 316 pages
...is equivalent to the square of C D. Wherefore, if a straight line, &c. QED РRОР. VII. ТНЕОВ, IF a straight line be divided into any two parts : the squares of the whole line, and one of the parts, are equivalent to twice the rectangle contained by the whole... | |
 | Education - 1844 - 688 pages
...equal to the rectangles contained by the undivided line and the several parts of the divided line. 7. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
 | Euclid - Geometry - 1845 - 218 pages
...straight line be divided into any two parts, the iquares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares... | |
 | Euclides - 1845 - 546 pages
...CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice ihe rectangle contained by the whole... | |
 | James Wood - Algebra - 1845 - 442 pages
...following Examples will sufficiently illustrate the preceding Theory, for our present purpose: — Ex. !.. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
 | Great Britain. Council on Education - 1845 - 696 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 61. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
