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Obtaining Ellipse Common Tangent Line Equations by the Rolling Tangent Line Method

Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, 2018
In the field of image processing and machine vision, it is sometimes necessary to obtain common tangent line equations and tangent point coordinates from ellipses. A rolling tangent line method was proposed to obtain the 4 common tangent line equations and 8 tangent point coordinates from two ellipses in this paper.
Naizhang Feng, Teng Jiang, Shiqi Duan, Mingjian Sun   +3 more
exaly   +2 more sources

Teachers’ conceptions of tangent line

Journal of Mathematical Behavior, 2013
Abstract In order to study the conceptions, and their evolutions, of the tangent line to a curve an updating workshop which took place in Mexico was designed for upper secondary school teachers. This workshop was planned using the methodology of cooperative learning, scientific debate and auto reflection (ACODESA) and the conception-knowing-concept ...
Rosa Elvira Páez Murillo, Laurent Vivier   +1 more
exaly   +2 more sources

Students’ Evolving Meaning About Tangent Line with the Mediation of a Dynamic Geometry Environment and an Instructional Example Space [PDF]

Technology, Knowledge and Learning, 2011
In this paper I report a lengthy episode from a teaching experiment in which 15 Year 12 Greek students negotiated their definitions of tangent line to a function graph.
Irène Biza
exaly   +2 more sources

Fuzzy tangent line to a fuzzy circle

Fuzzy Optimization and Decision Making
Fuzzy geometry extends the notion of a fuzzy number to geometric objects like points, lines, line segments, angles etc. and investigates how and to which extend results of traditional Euclidean geometry can be transferred to this setting. This is not at all straightforward as equivalent properties of Euclidean geometry will often result in non ...
Ronald Manríquez
exaly   +3 more sources

Tangent Line Transformations

The College Mathematics Journal, 2003
(2003). Tangent Line Transformations. The College Mathematics Journal: Vol. 34, No. 2, pp. 105-106.
openaire   +1 more source

On the Definition of a Tangent-Line

The American Mathematical Monthly, 1964
(1964). On the Definition of a Tangent-Line. The American Mathematical Monthly: Vol. 71, No. 10, pp. 1099-1103.
openaire   +1 more source

On the Tangent Lines of a Parabola

The College Mathematics Journal, 2001
(2001). On the Tangent Lines of a Parabola. The College Mathematics Journal: Vol. 32, No. 3, pp. 194-196.
openaire   +1 more source

Tangent Lines without Calculus

The Mathematics Teacher, 2008
A problem that can help high school students develop the concept of instantaneous velocity and connect it with the slope of a tangent line to the graph of position versus time. It also gives a method for determining the tangent line to the graph of a polynomial function at any point without using calculus.
openaire   +1 more source

Tangent Lines to a Curve

2000
In Section 9.1 we plot the (moving) tangent line and Frenet frame field for various types of equations of a curve; the equations of a tractrix are also derived. We then consider applications of tangent and normal lines to a curve.
openaire   +1 more source

The Tangent Lines of a Conic Section

The College Mathematics Journal, 2003
Dan Wilkins (dwilkins@mail.unomaha.edu) received his Ph.D. from Stanford University. He is a Professor in the Physics Department at the University of Nebraska at Omaha, where he has taught a variety of undergraduate courses in Physics and Astronomy for the past 20 years.
openaire   +1 more source