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单词 alternate proportion
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alternate proportion
alternate proportion n. Mathematics Obsolete proportion in which the second and third terms of a given proportion are made the third and second terms of a new one.
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the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > correspondence > inverting
alternate proportion1570
inversion1645
transposition1664
reversion1698
involution1916
1570 H. Billingsley in tr. Euclid Elements Geom. x. f. 306 Now let vs declare how as the line H F is to the line F E, so to make the line F K to the line E K. The line C D is greater then the line B D by supposition. Wherefore also the line H F is greater then the line F E (by alternate proportion).
1726 E. Stone New Math. Dict. Alternate proportion, or ratio, is the assuming of Antecedent to Antecedent, as the Consequent to the Consequent; as if A:B::C:D: then by Alternate Proportion will A:C::B:D.
1850 C. Davies Elem. Algebra 231 If we have the proportion 3:6::8:16 the alternate proportion would be 3:8::6:16.
extracted from alternateadj.adv.n.
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