 | Andrew Bell - 1837 - 290 σελίδες
...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 squares... | |
 | Euclides - 1837 - 112 σελίδες
...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 and that part, together with the square of the other part. i> K Proved by showing that AB* + uc*... | |
 | Euclides - 1838 - 264 σελίδες
...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...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 - 1840 - 192 σελίδες
...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 - 82 σελίδες
...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 - 1841 - 378 σελίδες
...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...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 squares... | |
 | John Playfair - 1842 - 332 σελίδες
...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 - 316 σελίδες
...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 squares... | |
 | 1844 - 688 σελίδες
...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...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 centre.... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...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...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... | |
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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... 
