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superosculation
superosculation n. 
/ˌsjuːpərɒskjᵿˈleɪʃn/,
Brit. /ˌsuːpərɒskjᵿˈleɪʃn/
, /ˌsuːpərɒskjᵿˈleɪʃn//ˌsjuːpərɒskjᵿˈleɪʃn/U.S. /ˌsupərˌɑskjəˈleɪʃ(ə)n/
Geometry the property of curves or surfaces of having tangential contact at three or more points./ˌsupərˌɑskjəˈleɪʃ(ə)n/ΘΚΠ
the world > relative properties > number > geometry > curve > [noun] > touching
osculation1798
tactinvariant1856
superosculation1876
osculant1879
1876 Proc. London Math. Soc. 8 95 If the three roots are all equal, these cones osculate (the cases of double contact and of super-osculation cannot present themselves).
1999 V. A. Shefer in B. A. Steves & A. E. Roy Dynamics Small Bodies Solar Syst. xi. 74 The conditions presented in this work which ensure a high order touch between the intermediate orbit and the real motion, are referred to as the conditions of superosculation.
2009 M. Berger Jacob's Ladder Differential Geom. iv. 210 In algebraic language, osculation and superosculation are easy to describe.
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