 | John Playfair - 1819 - 350 sider
...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 € ; the... | |
 | John Playfair - 1819 - 354 sider
...PffP. VII. T If a straight line be-cKvided 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 andfthat part, together with the square of the other part. i Let the straight line AB be divided into... | |
 | Peter Nicholson - 1825 - 1046 sider
...square of CD. Wherefore, if a straight line, &c. Q. £. D. whole line, and of one of the parts, яге 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 any two parts in the point С ; the squares... | |
 | George Lees - 1826 - 276 sider
...into any ^yo parts, AC, CB, the squares of the whole line, and of 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. By the Prop. AB2 = AC2+CB2 + 2AC.CB, add CB2 to each; then AB2+CB2 = AC2 + i?CB2... | |
 | Robert Simson - 1827 - 546 sider
...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... | |
 | Pierce Morton - 1830 - 584 sider
...ihali be equal to the rectangle contained by the two parts, together with the tquare of the aforesaid part. Let the straight line AB be divided into any two parts А С, С В : the rectangle under AB, BC shall be equal to the rectangle under AC, С В, tocrether... | |
 | Euclid - 1835 - 540 sider
...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 Book i i- the point C... | |
 | 1835 - 684 sider
...shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts AC, С В : the rectangle under AB, В С shall be equal to the rectangle under AC, CB, together with... | |
 | 1836 - 488 sider
...produced. VII. 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. Сон. Hence the sum of the squares of any two lines is equal to twice the rectangle... | |
 | John Playfair - 1836 - 148 sider
...XXV. 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... | |
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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. 
