| Euclid, Robert Simson - 1821 - 514 sider
...equal to the square of the other part. Let AB be the given straight line: it is required to divide it into two parts, so that the rectangle contained by the whole and dne of the parts shall be equal to the square of the other part. Upon AB describe (46. 1.) the square... | |
| James Ryan - 1824 - 550 sider
...sought. Ans. 1 1 , 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— lOy/5. Prob. 23. A labourer dug two trenches, one of which was... | |
| James Ryan, Robert Adrain - 1824 - 542 sider
...sought. Ans. 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... | |
| Peter Nicholson - 1825 - 1046 sider
...AD, DB, are double of the squares of AC, CD. Wherefore, if a straight line, &c. QED Proposition Xf. Problem. To divide a given straight line into two...by the whole, and one of the parts, shall be equal 'o the square of the other part. Let AB be the given straight line ; it is required to divide it into... | |
| John Bonnycastle - 1825 - 336 sider
...is 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... | |
| Daniel Cresswell - 1825 - 616 sider
...none of which lies within another, the tangents so drawn shall be equal to one another. LXXXI. PR. To divide a given straight line into two parts, so that the square of the one shall be equal to the rectangle contained by the other and a given straight line.... | |
| Euclid, John Playfair - 1826 - 326 sider
...DG=DB: Therefore, AD3-fDBi)==2AC»-|r'2CD>3< Wherefore, if a straight line, &e. QBD H B PROP, XI. PROB. To divide a given straight line into two parts, so that the reetangle eontained by the whole, and one of the parts, may be equal to the square of the other part.... | |
| Robert Simson - 1827 - 546 sider
...•3.1. « 46. 1. •6.2. t Constr. • 47. 1. t 3 Ax. t 30 Def. t lAx. t 3 Ax. t 30 Def. PROP. XL PROB. To divide a given straight line into two parts, so...one of the parts, shall be equal to the square of the other part. Let AB be the given straight line ; it is required to divide .it into two parts, so... | |
| Miles Bland - 1827 - 462 sider
...contained by the whole line produced and the part produced may be equal to a given square. 9. To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. 10. To divide... | |
| John Playfair - 1832 - 358 sider
...equal to the square of the other part. Let AB be the given straight line; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the_parts, sha'l be equal to the square of the other part. Upon AB describe (40. 1.) the square ABDC;... | |
| |