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... The London University Calendar - Página ccxxiiipor London univ - 1874Vista completa - Acerca de este libro
| Euclid, James Thomson - 1837 - 410 páginas
...LG, together equal to tb« square CF. 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 into... | |
| Euclides - 1838 - 264 páginas
...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 and that part, together with the square of the other part. Let the straight line AB be divided into... | |
| Euclides - 1840 - 82 páginas
...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...part, together with the square of the other part. PROP. VIII. THEOR. If a straight line be divided into any two parts, the square of the sum of the whole... | |
| Euclides - 1840 - 192 páginas
...square of the sum of the whole line AB and one of its parts CB, is equal to 4 AB'CB, or four times the rectangle contained by the whole line and that part, together with AC2 or the square of the other part. PROP. IX. THEOR. If a straight line (AB) be divided equally (in... | |
| Euclides - 1841 - 378 páginas
...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 and that part, together with the square of the otherpart. Let the straight line AB be divided into... | |
| John Playfair - 1842 - 332 páginas
...equality, we shall have, 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 contained by the whole and that part, together with the square of the other part. L et the straight line AB be divided into... | |
| 1844 - 688 páginas
...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 and that part, together with the square of the other part. 8. If two circles touch one another internally,... | |
| James Wood - 1845 - 442 páginas
...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 and that part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and b represent... | |
| Euclid, James Thomson - 1845 - 382 páginas
...was to be proved. PROP. VII. THEOB. — 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 into... | |
| Euclid - 1845 - 218 páginas
...line, &c. QED PROPOSITION VII. 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 contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into... | |
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