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2010•Journal of Hebei North UniversityRequires access

Analytical Properties of Tangent and Secant Function of Plane Curve

Jing Hai-bin

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Abstract

Bitangent circle method of boundary curve about plane region is very important to shape recognition about plane area.Tangent and secant function of plane close curve is crucial to the research of bitangent circle.With comprehensive utilization of algebra and geometry,we define extended tangent and secant function of plane curve,and obtain some analytical properties:extended tangent and secant function is a continuous function;the extended tangent and secant functions of smooth plane curves are smooth.

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What this paper is about

Bitangent circle method of boundary curve about plane region is very important to shape recognition about plane area.Tangent and secant function of plane close curve is crucial to the research of bitangent circle.With comprehensive utilization of algebra and geometry,we define extended tangent and secant function of plane curve,and obtain some analytical properties:extended tangent and secant function is a continuous function;the extended tangent and secant functions of smooth plane curves are smooth.

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Available abstract

Bitangent circle method of boundary curve about plane region is very important to shape recognition about plane area.Tangent and secant function of plane close curve is crucial to the research of bitangent circle.With comprehensive utilization of algebra and geometry,we define extended tangent and secant function of plane curve,and obtain some analytical properties:extended tangent and secant function is a continuous function;the extended tangent and secant functions of smooth plane curves are smooth.

Key concepts: Tangent, Plane curve, Mathematics, Secant method, Tangent vector, Plane (geometry), Mathematical analysis, Function (biology)

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