| 单词 | golden section |
| 释义 | > as lemmasgolden section golden section n. [after German goldener Schnitt (early 19th cent. or earlier)] the division of a straight line or rectangle into two parts so that the ratio of the whole to the larger part is the same as the ratio of the larger part to the smaller; (also) the ratio of the larger part to the smaller part (= golden ratio n.). ΘΚΠ the world > space > shape > symmetry or regularity > [noun] > golden section golden section1863 divine proportion1920 the world > relative properties > number > ratio or proportion > [noun] > golden section golden section1863 divine proportion1920 the world > relative properties > number > geometry > line > [noun] > which divides or intersects > proportion resulting from medial section1820 golden section1863 golden mean1910 1863 Proc. Acad. Nat. Sci. Philadelphia 1862 533 Dr. Zeising's application..of the extreme and mean ratio, or golden section, to the division of the circle in phyllotaxis, has received a remarkable confirmation as a law of nature. 1875 Encycl. Brit. I. 220/1 Zeising..asserts that the most pleasing division of a line, say in a cross, is the golden section. 1931 T. L. Heath Man. Gr. Math. viii. 181 Proclus speaks of theorems which Plato ‘originated regarding the “section”’, and, if this ‘section’ was what came to be called the ‘golden section’,..Plato may well have had this case in mind. 1963 H. Read Contrary Experience iv. viii. 345 Certain correspondences are easily established—the prevalence, for example, in art and in both organic and inorganic matter of the proportion known as the Golden Section. 2006 A. Kuczynski Beauty Junkies vi. 106 The so-called golden section..phi..is an irrational number approximately equal to 0.61803. golden section e. The action of dividing a line into parts. golden section, also medial section, median section: the division of a line in extreme and mean ratio. ΘΚΠ the world > relative properties > number > geometry > line > [noun] > which divides or intersects midlinea1398 secant1684 section1820 bisectrix1854 ground-line1857 secancy1857 transversal1881 the world > relative properties > number > geometry > line > [noun] > which divides or intersects > proportion resulting from medial section1820 golden section1863 golden mean1910 1820 J. Leslie Elem. Geom. (ed. 4) 63 It will be convenient..to designate..this remarkable division of a line..by the term Medial Section. 1898 G. Chrystal Introd. Algebra xxii. 329 To find a point P in the line AB such that AP2 = AB, PB (Problem of ‘Golden Section’). < as lemmas |
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