Osculating curve

A curve C containing a point P where the radius of curvature equals r, together with the tangent line and the osculating circle touching C at P

In differential geometry, an osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve. That is, if F is a family of smooth curves, C is a smooth curve (not in general belonging to F), and p is a point on C, then an osculating curve from F at p is a curve from F that passes through p and has as many of its derivatives at p equal to the derivatives of C as possible.

单词	Osculating curve
释义	Osculating curve 英语百科 Osculating curve In differential geometry, an osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve. That is, if F is a family of smooth curves, C is a smooth curve (not in general belonging to F), and p is a point on C, then an osculating curve from F at p is a curve from F that passes through p and has as many of its derivatives at p equal to the derivatives of C as possible.
随便看	Neoseiulus cucumeris Neoseiulus fallacis Neoseiulus longispinosus Neoseiulus makuwa neoseiulus monomacrosetus Neoseiulus spineus Neoseiulus womersleyi neosemanticism neosemanticisms neosepta neoserixia delicata neoserixia infasciatus neoserixia pulchra neoserixia schwarzeri neoserpin neosexuality Neoshaman Neoshamanism neoshamanisms neoshamanistic neoshamans neoshevtchenkella pinnatiae Neoshirakia Neoshirakia japonica Neosho