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单词 generating line
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generating line
2. Mathematics. That generates a certain figure or solid when moved conceptually in a certain way. Frequently in generating circle, generating line, etc.
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the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions
generating1671
exponential1704
discontinuous1803
functional1806
odd1812
periodic1820
syzygetic1850
convex1858
graphometric1865
polycyclic1869
subrational1875
synectic1876
variational1879
polyhedral1881
holomorphic1886
tropical1887
Gudermannian1888
monogeneous1888
monotonous1890
oscillating1893
monotonic1901
monotone1903
orthogonalized1909
schlicht1925
concave1942
deconvolved1974
unate1978
1671 Philos. Trans. 1670 (Royal Soc.) 5 2057 The Space contained by the Cycloid and Basis, is triplicate to the Generating Circle.
1733 Ladies Diary 19 Suppose the generating Hyperbola to become the Plain of a West-declining Dial, in the Latitude of 50° Νorth.
1788 C. Hutton Treat. Mensuration (ed. 2) iv. iii. 501 (heading) Of the relation between the areas and solidities of figures and the centers of gravity of their generating lines and planes.
1807 T. Young Course Lect. Nat. Philos. II. 558/1 If the diameter of the generating circle be to that of the basis as 5 to 2, the figure will be a quintuple bicuspidate epicycloid.
1854 E. de Warren tr. L. F. J. De Saulcy Journey Dead Sea II. 127 The generating arch is not then quite half a circumference.
1951 F. Whiteley Gear Manuf: Bk. 4 i. 8 The pitch angle of any bevel gear is the angle between the axis and the cone generating line.
2001 Coll. Math. Jrnl. 32 340 The pseudosphere,..whose generating curve, called the tractrix, starts at the point (0,1).
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