 | John Playfair - 1819 - 354 pages
...straight line, &c. Q, ED 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 - Mathematics - 1825 - 1046 pages
...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 ;... | |
 | George Lees - 1826 - 276 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...line, &e. Q. E, D. PROP. ViI. THfiOR. Jf a straight line be divided into any two partsj the squares of the whole line, and of one of the parts, are equal to twiee the reetangle eontained by the whole and that part> together with the square of the other part.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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...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 - 1835 - 540 pages
...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...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 Book i i- the point... | |
 | John Playfair - Geometry - 1836 - 148 pages
...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...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... | |
 | Mathematics - 1836 - 488 pages
...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...contained by 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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...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 - Euclid's Elements - 1837 - 112 pages
...X DB + CB*. PROPOSITION 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*... | |
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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... 
