| John Playfair - 1819 - 333 páginas
...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 - 317 páginas
...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 - 372 páginas
...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
...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 - 513 páginas
...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 - 272 páginas
...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 - 513 páginas
...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
...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 - 472 páginas
...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 - 114 páginas
...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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