| Andrew Bell - 1837 - 240 páginas
...the diiferencc between the squares of half the line and the mean distance. PROPOSITION TIL THEOREM. **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... | |
| Euclides - 1838
...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...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... | |
| Euclides - 1840
...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 and that part, together with the square of the other part. PROP. VIII. THEOR. If a straight line... | |
| Euclides - 1840
...part. PROP. VII. THEOR. 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 - 1841
...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...contained by the whole and that part, together with the** square of the otherpart. Let the straight line AB be divided into any two parts in the point C; the... | |
| John Playfair - 1842 - 317 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...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... | |
| Euclides - 1842
...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 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... | |
| 1844
...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...contained by the whole and that part, together with the** square of the other part. 8. If two circles touch one another internally, they shall not have the same... | |
| Euclid - 1845 - 199 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...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... | |
| James Thomson - 1845 - 358 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...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... | |
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