| 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... | |
| John Playfair - 1819 - 333 páginas
...therefore AD. DB + CB3 = CD3. Therefore, • "" "" " if a straight line, &c. Q, ED 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... | |
| 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
...of CB, is equal to the square of CD. Wherefore, if a straight line, &c. Q. £. JO. 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... | |
| Euclid - 1835 - 513 páginas
...square of CB, is equal to the square of CD. Wherefore, " if a straigtd line" &c. QED 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... | |
| John Playfair - 1836 - 114 páginas
...so that the rectangle AB, BH is equal to the square of AH. Which was to be done. E PROP. 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 contained by the whole... | |
| 1836 - 472 páginas
...is equal to the square of the straight line which is made up of the half and the part 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 contained by the whole... | |
| 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 squares... | |
| Euclid, James Thomson - 1837 - 390 páginas
...figure, as there will remain the rectangle AM and the square LG, together equal to tb« square CF. **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... | |
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