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单词 isoperimetrical
释义

isoperimetricaladj.

/ˌʌɪsəʊpɛrɪˈmɛtrɪkəl/
Etymology: < Greek ἰσοπερίμετρος (see isoperimeter n.) + -ical suffix.
Geometry.
1. Of figures: Having equal perimeters.
ΘΚΠ
the world > relative properties > number > geometry > shape or figure > [adjective] > relationship between > equal or similar
like1557
isoperimetral1625
similar1692
isoperimetrical1706
identical1806
homologous1863
homological1885
perspective1885
homothetic1886
trigraphic1895
1706 Phillips's New World of Words (new ed.) Isoperimeters or Isoperimetrical Figures, such Figures as have equal Perimeters, or Circumferences.
1796 C. Hutton Math. & Philos. Dict. (new ed.) I. 647 M. Cramer too, in the Berlin Memoirs for 1752..proposes to demonstrate..that the circle is the greatest of all isoperimetrical figures, regular or irregular.
1812 D. Cresswell Elem. Treat. Investigation Maxima & Minima i. 49 The greatest of all isoperimetrical polygons, of the same number of sides, is necessarily equilateral.
1828 O. Gregory Hutton's Course Math. (ed. 9) II. 328 Of all isoperimetrical triangles, the one which has the greatest surface is equilateral.
1828 D. Lardner Euclid 72 The area of the square exceeds the area of any other isoperimetrical rectangle by the square of half the difference of the sides of the rectangle.
2. Relating to or connected with isoperimetry. isoperimetrical problems n. see quot. 1865.
ΘΚΠ
the world > relative properties > number > geometry > [adjective] > branches of
stereometrical1656
Apollonian1704
Euclidean1714
isoperimetrical1743
stereotomical1828
stereotomic1860
stereometric1862
graphic1865
parabolic1872
metageometrical1882
pangeometrical1882
Riemannian1889
synthetic1889
polygonometric1890
Lobachevskian1896
topological1913
1743 Philos. Trans. 1742–3 (Royal Soc.) 42 358 Isoperimetrical Problems are resolved..with like Facility by the same Method.
1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 463 Such is the simplest case of the Isoperimetrical Problems so called, because at first only curves of the same length were considered.
1821 Blackwood's Edinb. Mag. 10 557 From Cookery up to the Law of Contingent Remainders, Isoperimetrical Problems, or the world-wide difference between Objectivity and Subjectivity.
1865 B. Price Treat. Infinitesimal Calculus (ed. 2) II. xiv. 465 Problems of relative maxima and minima..wherein the variables are not independent of each other, but are connected by some given relation, which may be integral or differential, or in the form of a definite integral..are often called isoperimetrical, because the given condition when interpreted geometrically, is frequently equivalent to the length of the curve being given between certain fixed points or limiting lines.
This entry has not yet been fully updated (first published 1900; most recently modified version published online December 2019).
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adj.1706
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