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单词 analysis situs
释义

analysis situsn.

Brit. /əˌnalᵻsɪs ˈsʌɪtəs/, /əˌnalᵻsɪs ˈsiːtʊs/, U.S. /əˌnæləsəs ˈsaɪdəs/, /əˌnæləsəs ˈsidʊs/
Origin: A borrowing from Latin. Etymon: Latin analysis situs.
Etymology: < post-classical Latin analysis situs (G. W. Leibniz 1679, in G. H. Pertz Leibnizens gesammelte Werke (1858) V. 178) < analysis analysis n. + classical Latin sitūs , genitive of situs situs n.
Mathematics. Now historical.
= topology n. 3a.
ΘΚΠ
the world > relative properties > number > geometry > [noun] > branches of > topology
analysis situs1792
topology1883
1792 J. S. Barr tr. Comte de Buffon Nat. Hist. III. xi. 267 It would be a problem beyond known geometry, to determine the figures which may result from all the unfoldings of a certain given number of folds. All what immediately relates to the position is beyond our mathematical sciences. This art, which Leibnitz calls Analysis Situs, is not yet found out.
1860 H. B. Sloman Claim of Leibnitz v. 53 Another but purely mathematical project of Leibnitz's, the analysis situs.
1896 Amer. Jrnl. Math. 18 158 We are in this whole investigation only concerned with geometry of analysis situs.
1930 Amer. Math. Monthly 37 504 The Polish school..is primarily interested in problems of analysis situs admitting resolution by the methods of the theory of aggregates.
1959 E. M. Patterson Topology i. 1 In mathematics topology was formerly defined to be the study of situation; an alternative name was analysis situs.
1972 M. Kline Math. Thought l. 1158 A number of developments of the nineteenth century crystallized in a new branch of geometry, now called topology but long known as analysis situs.
1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxvii. 603 Combinatorial topology, or analysis situs, as it was then generally called, is the study of intrinsic qualitative aspects of spatial configurations that remain invariant under continuous one-to-one transformations.
This is a new entry (OED Third Edition, November 2010; most recently modified version published online December 2021).
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n.1792
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