 | Andrew Bell - 1837 - 290 pàgines
...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 - 264 pàgines
...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 - 82 pàgines
...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 - 192 pàgines
...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 - 378 pàgines
...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 - 332 pàgines
...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 - 316 pàgines
...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 - 688 pàgines
...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 - 218 pàgines
...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... | |
 | Euclid, James Thomson - 1845 - 382 pàgines
...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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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... 
