| John Playfair - Euclid's Elements - 1806 - 311 pages
...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,** e 47. 1. Upon AB describe" the square ABDC ; bisectb AC in E, Book II. and join BE ; produce CA to... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...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.** a 46. 1. Upon AB describe a the square ABDC ; bisect 1• AC in E, ami b 10. 1. jo1n BE ; produce CA... | |
| John Mason Good - 1813 - 722 pages
...Prob. To divide a given straight line into two parts, so that thé rectangle contained by the whole, **and one of the parts, shall be equal to the square of the other part.** Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles... | |
| John Bonnycastle - Algebra - 1813 - 456 pages
...required to divide a line, of 20 inches in length, into two such parts, that the rectangle of the whole **and one of the parts shall be equal to the square of the other.** Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product... | |
| Euclides - 1816 - 528 pages
...PROB. To divide a given straight line 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.** Let AB be the given straight line; it is required to divide it into two parts, so that the rectangle... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...required to divide a line, of 20 inches in length, into two such parts that the rectangle of the whole **and one of the parts shall be equal to the square of the other.** Ans. 10^/5-10 5. It is required to divide the number 60 into two such parts, that their product shall... | |
| John Playfair - Euclid's Elements - 1819 - 333 pages
...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 (46. 1.) the square ABDC ; bisect (10. 1.) AC in E, and join BE ; produce CA to F,... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 ABDC; bisect (10. 1.) AC in E, and join BE; produce CA to F, and... | |
| James Ryan - Algebra - 1824 - 516 pages
..., 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 6 yards... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 516 pages
...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... | |
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