'Parametric equation' presentation slideshows

Basic theory of curve and surface

Basic theory of curve and surface. Geometric representation. Parametric Non-parametric Explicit Implicit. x = x(u), y = y(u). y = f(x). f(x, y) = 0. Geometric representation. Example - circle Parametric Non-parametric Explicit Implicit. x = R cos ? , y = R sin ?.

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Parametric

Parametric. Department of Mathematics University of Leicester. What is it?. A parametric equation is a method of defining a relation using parameters. For example, using the equation: We can use a free parameter, t, setting: and. What is it?.

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Curve implicitization using moving lines

Curve implicitization using moving lines. Thomas W. Sederberg , Takafumi Saito, Dongxu Qi, Krzysztof S. Klimaszewski (1993). Presented by: Mira Shalah. Introduction, motivation and definitions. Pencils of lines. Moving lines. Curve implicitization with two moving lines.

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10.5 Lines and Planes in Space

10.5 Lines and Planes in Space. Parametric Equations for a line in space Linear equation for plane in space Sketching planes given equations Finding distance between points, planes, and lines in space. Sketching a plane. Use intercepts to find intersections with the coordinate axes (traces).

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Lines in Space

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10.6 Parametric Equations

10.6 Parametric Equations. Definition of Parametric Equations. parametric equation is a method of defining a relation using parameters. A simple kinematic 1 example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion.

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10.6 Parametric Equations

10.6 Parametric Equations. Definition of Parametric Equations. parametric equation is a method of defining a relation using parameters. A simple kinematic 1 example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion.

343 views • 18 slides

Curves and Surfaces

Curves and Surfaces. Dr. Aree Ali Mohammed Assistant Professor 2013-2014 3 rd Stage aree.ali@univsul.net. Goals. How do we draw curves and surfaces? We need smooth curves and surfaces in many applications: model real world objects computer-aided design (CAD) high quality fonts

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10.1A Parametric Equations

Photo by Greg Kelly, 2005. Greg Kelly, Hanford High School, Richland, Washington. 10.1A Parametric Equations. Mt. Washington Cog Railway, NH. We can do this by writing equations for the x and y coordinates in terms of a third variable (usually t or ).

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Chapter 8

Chapter 8. Eqaution of Lines and Planes. Determining the vector/parametric equation of a line in R 2. Determine the vector and parametric equations of a line that contains the point (2,1) and (-3,5). Determining the Cartesian Equation of a Line in R 2.

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Theory of Architecture

Theory of Architecture. Fourth Stage Architecture Engineering Department. Parametric Design.

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Using Parametric Equations. ACTIVITY. Developing Concepts. 1. 2. 3. INVESTIGATING LINEAR MOTION.

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1.4 Parametric Equations

Photo by Greg Kelly, 2005. Greg Kelly, Hanford High School, Richland, Washington. 1.4 Parametric Equations. Mt. Washington Cog Railway, NH. We can do this by writing equations for the x and y coordinates in terms of a third variable (usually t or ).

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10-6 Rectangular and Parametric Forms of Conic Sections

10-6 Rectangular and Parametric Forms of Conic Sections. ALL conic sections can be written in general form: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 (where A, B, and C are not ALL zero) However, usually B is zero. Identify the type of conic:. 6y2 + 3x -4y -12 = 0

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Simulation of distance between ship and the destination

Simulation of distance between ship and the destination. Physics 210 Final presentation Kevin Kim Nov 27 th /08. Briefly about Ramjet. Theoretically it can get to relativistic speed. Maple. Animation feature Easy help with many example codes New language. Getting the a(t),v(t) and x(t).

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8-6 Vectors and Parametric Equations

8-6 Vectors and Parametric Equations. We can write an equation of a line by referencing a vector it is parallel to. This is called a Vector Equation Vector equation: where t is a scalar. 1)Write a vector equation of a line passing through P 1 (1,4) and parallel to

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???????? Partial differential equation ?? 4

???????? Partial differential equation ?? 4. ?? ? ????????? ?? ? ??? ??? M98520034. We had a PDE like this. We could exercise the method of characteristics. Then we were able to find the solution. The movie that was seen below was form the answer of last page.

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Intermediate Math

Intermediate Math. Parametric Equations Local Coordinate Systems Curvature Splines. Parametric Equations (1). We are used to seeing an equation of a curve defined by expressing one variable as a function of the other. Ex. y= f(x) Ex. y=

201 views • 6 slides