| 单词 | rule of false position |
| 释义 | > as lemmasrule of false position 2. Mathematics. A method of finding the value of an unknown by positing or assuming one or more values for it, finding by how much the results differ from those required of the unknown, and then compensating for the error. Also rule of false position, rule of position. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > process of calculating > method or rule for rulea1387 canonc1400 backer1543 position1551 rule of falsehood1552 rule of three1562 method of exhaustions1685 sieve1803 sieve of Eratosthenes1803 algorithm1811 algorism1888 sieve1897 decision procedure1936 pivotal condensation1939 decision method1940 1551 R. Record Pathway to Knowl. ii. Pref. The rule of false position, with dyuers examples not onely vulgar, but some appertaynyng to the rule of Algeber. a1690 S. Jeake Compl. Body Arithm. (1701) xiv. 499 In Double Position make a Supposition twice..; and if either Number of them supposed happen to resolve the Question, the Work is done: But if not, observe the Errors, and whether they be greater or lesser than the Resolution requireth. 1766 C. Hutton School-master's Guide (ed. 2) 139 To the rule of position belong such questions as cannot be solved by the direct process by any of the former rules; and in which the required number or numbers do not ascend above the first power. 1806 C. Hutton Course Math. (ed. 5) I. 135 Position is a method of performing certain questions, which cannot be resolved by the common direct rules. 1806 C. Hutton Course Math. (ed. 5) I. 136 Double Position is the method of resolving certain questions by means of two suppositions of false numbers. 1850 U. Parke Lect. Philos. Arithm. (ed. 4) 342 Find his original capital without using the rule of Position. 1948 R. T. Beyer tr. F. A. Willers Pract. Anal. iv. 205 With the method of false position, linear interpolation is used for the determination of the roots. 1992 H. Eves Fund. Mod. Elem. Geom. iii. 121 The method employed, often called the method of similitude, is a geometric counterpart of the rule of false position used by the ancient Egyptians to solve linear equations in one unknown. < as lemmas |
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