| Euclides - 1837 - 88 páginas
...these = AL + CM + LG, which = AM + LG, and that these last = AD X DB + CB*. 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 the rectangle contained by the whole line... | |
| Euclides - 1838
...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
...If a straight line (AB) be divided into any two parts (AF, FB), the squares of the whole line and of **one of the parts, are equal to twice the rectangle contained by the whole** line and that part, together with the square of the other part. Upon AB construct the square ACDB ;... | |
| Euclides - 1840
...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 - 1841 - 351 páginas
...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 - 1842 - 317 páginas
...PROP. VII. THEOR. If a 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...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
...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... | |
| 1844
...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 - 1845 - 199 páginas
...THEOR. — If a 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...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... | |
| James Wood - 1845 - 287 páginas
...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... | |
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