Euclidean geometry | Functions and mappings | Transformation (function) | Linear algebra

Translation of axes

In mathematics, a translation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x'y'-Cartesian coordinate system in which the x' axis is parallel to the x axis and k units away, and the y' axis is parallel to the y axis and h units away. This means that the origin O' of the new coordinate system has coordinates (h, k) in the original system. The positive x' and y' directions are taken to be the same as the positive x and y directions. A point P has coordinates (x, y) with respect to the original system and coordinates (x', y') with respect to the new system, where or equivalently In the new coordinate system, the point P will appear to have been translated in the opposite direction. For example, if the xy-system is translated a distance h to the right and a distance k upward, then P will appear to have been translated a distance h to the left and a distance k downward in the x'y'-system . A translation of axes in more than two dimensions is defined similarly. A translation of axes is a rigid transformation, but not a linear map. (See Affine transformation.) (Wikipedia).

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14_7 Translation of Axes

A formal look at the method of translation of axis when doing double integrals. We have seen how to translate the axis from an XY Cartesian coordinate system to a polar grid, but a translation to any grid system is possible.

From playlist Advanced Calculus / Multivariable Calculus

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14_11 The Translation of Axes in Triple Integrals

An introduction to the translation of axes in triple integrals.

From playlist Advanced Calculus / Multivariable Calculus

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Transformations of Graphs A Level Maths - Translation 1 - Quadratics and Cubics

Our first look at graph transformations for new A Level Maths. Here, we look at translations of Quadratics and Cubics, as well as translation vectors!

From playlist AS Level Maths Pure - AQA, Edexcel and OCR MEI

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14_12 Translation to Cylindrical Coordinates

Translating to Cylindrical Coordinate Axes in Triple Integrals.

From playlist Advanced Calculus / Multivariable Calculus

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Apply a translation vector to translate a figure ex 1

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

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Translations - Geometry

http://www.youtube.com/vinteachesmath This video focuses on translations in the plane. In particular, this video focuses on the definition of a translation and two methods for translating a point in the Cartesian Plane. This video is appropriate for a student taking a course in Geometry

From playlist Geometry

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Vertical Translation, Amplitude, Period, Phase Shift, and Range of Cosine and Sine Functions

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Vertical Translation, Amplitude, Period, Phase Shift, and Range of Cosine and Sine Functions

From playlist Trigonometry

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[Linear Algebra] Nonhomogeneous System Solutions

We learn how to find the solutions of nonhomogeneous systems. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Like us on Facebook: http://on.fb.me/1vWwDRc Submit your questions on Reddit: http://bit.ly/1GwZZrP #LinearAlgebra #Algebra #UniversityMath #

From playlist Linear Algebra

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Thermodynamics and Chemical Dynamics 131C. Lecture 06. The Rotational Partition Function.

UCI Chem 131C Thermodynamics and Chemical Dynamics (Spring 2012) Lec 06. Thermodynamics and Chemical Dynamics -- The Rotational Partition Function -- View the complete course: http://ocw.uci.edu/courses/chem_131c_thermodynamics_and_chemical_dynamics.html Instructor: Reginald Penner, Ph.D.

From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics

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MIT 3.60 | Lec 12a: Symmetry, Structure, Tensor Properties of Materials

Part 1: 3D Lattices View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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MIT 3.60 | Lec 14b: Symmetry, Structure, Tensor Properties of Materials

Part 2: Final Lecture on Symmetry: 3D Space Groups View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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Chemistry 107. Inorganic Chemistry. Lecture 05

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 05. Inorganic Chemistry -- A Second Application of Symmetry View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.

From playlist Chem 107: Week 2

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MIT 3.60 | Lec 11b: Symmetry, Structure, Tensor Properties of Materials

Part 2: Point Groups View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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MIT 3.60 | Lec 14a: Symmetry, Structure, Tensor Properties of Materials

Part 1: Final Lecture on Symmetry: 3D Space Groups View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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MIT 3.60 | Lec 4b: Symmetry, Structure, Tensor Properties of Materials

Part 2: 2D Symmetries View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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MIT 3.60 | Lec 5a: Symmetry, Structure, Tensor Properties of Materials

Part 1: 2D Plane Groups, Lattices View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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MIT 3.60 | Lec 6a: Symmetry, Structure, Tensor Properties of Materials

Part 1: 2D Plane Groups, Lattices (cont.) View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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14_8 The Volume of a Cylinder Revisited

Now that we have had a formal look at the translation of axes, let's revisit the calculation of the volume of a cylinder using our newfound knowledge.

From playlist Advanced Calculus / Multivariable Calculus

Related pages

Translation (geometry) | Ellipse | Coordinate system | Ellipsoid | Origin (mathematics) | Parallel (geometry) | Map (mathematics) | Vertex (geometry) | Parabola | Linear map | Mathematics | Cartesian coordinate system | Rotation of axes | Affine transformation | Focus (geometry) | Hyperbola | Eccentricity (mathematics) | Rigid transformation | Locus (mathematics) | Conic section | Analytic geometry