| James Ryan, Robert Adrain - 1824 - 516 páginas
...II, or 3], Prob. 22. It is required to divide 20 into two such parts, that the product of the whole **and one of the parts, shall be equal to the square of the other.** Ans. lOv/5 — 10, and 30— 10^/5, Prob. 23. A labourer dug two trenches, one of which was 6 yards... | |
| John Bonnycastle - 1825 - 312 páginas
...required to divide a line, of 20 inches in length, into two such parts that the rectangle of (he whole **and one of the parts shall be equal to the square of the other.** Ans. 10^5-10, and 30—10^/5 6. It is required to divide the number 60 into two such parts that their... | |
| Peter Nicholson - 1825 - 372 páginas
...QED | ¿J J'rojjosiiion VIII. Theorem. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Henry Parr Hamilton - 1826 - 326 páginas
...number of solutions. For example, if it be required to divide a given straight line into two such parts, **that the rectangle contained by the whole line and...parts, shall be equal to the square of the other part;** this problem is determinate. If on the other hand, it were proposed to find a point such, that the... | |
| Robert Simson - 1827 - 513 páginas
...straight line, 8cc. QED G PROP. VIII. THEOR. If a straight line he divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other part, is equal to the square of the straight line which is made... | |
| John Playfair - 1829 - 186 páginas
...together equal to the square of the whole line. ..If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** is equal to the rectangle contained by the two parts together with the square of the foresaid part.... | |
| 1835
...square of the whole une. PROP. 31. (Eue. ii. 3.) If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts, shall be equal to the** rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight... | |
| Euclid - 1835 - 513 páginas
...QED PROP. VIII. THEOR. JJ F E a 34. 1. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts;** together with the square of t/ie other part, is equal to the square of the straight line which is made... | |
| John Playfair - 1836 - 114 páginas
...straight line : it is required to divide it into two parts, so that the rectangle contained by the whole **and one of the parts shall be equal to the square of the other part.** Upon AB describe (16. 2.) the square ABDC; bisect (8. 1.) AC in E, and join BE ; produce CA to F, and... | |
| 1836 - 472 páginas
...of the difference of the lines. VIII. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other part, is equal to the square of the straight line which is made... | |
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