 | John Mason Good - 1813 - 714 pages
...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...the whole and that part, together with the square of the other part. Prop. VIII. Theor. If a straight line be divided into any two parts, four times... | |
 | Euclides - 1816 - 588 pages
...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...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 A 5% .Gei" 4tS -•1•... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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...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... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 into any two parts iu B the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the... | |
 | 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 ; the squares... | |
 | 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 + i?CB2... | |
 | Euclid - 1826 - 234 pages
...square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ; four times the rectangle contained under AB, вс, together with the square of AC, is equal to the... | |
 | Euclides - 1826 - 226 pages
...square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ; four times the rectangle contained under AB, вс, together with the square of AC, is equal to the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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...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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...contained by the whole line and each of the parts is equal to the square of the whole line. B Let the line AB be divided into any two parts in the point C; the sum of the rectangles AB.BC and AB.AC is equal to [the square of AB, or AB.AC + AB.BC = AB3. On... | |
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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... 
