Coordinate Transformations A free coordinate system simulation for your Mac
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Coordinate Transformations Description

A free coordinate system simulation for your Mac Coordinates Transformations is an applet that teaches several concepts. The first is how a transformation applied to a coordinate system affects the axes of that coordinate system. Second, Coordinates Transformations shows how looking at only a very small portion of any curve produces a straight line (linear approximation) of that curve. Finally, Coordinates Transformations shows how a transformation of the coordinate system affects any objects within that coordinate system.The top two windows show an image of the current graph and a rectangle which shows the bounds of the magnified areas located below. The rectangle can be moved either by clicking on a point on the left graph or by dragging the rectangle around the graph. Keep in mind that the rectangle shown on the left is not necessarily a rectangle on the right due to the transformation. The rectangle cannot be moved by clicking on the right graph since not every point on the right graph has a distinct point on the left graph.The equation used for the transformation can be chosen from the pop-up list on the right, and the magnification can be changed by dragging the slider. Finally, it is possible to draw on the left-hand graph by dragging the mouse around within the magnified area. The resulting points will be drawn on the right-hand graph. Keep in mind that, due to the transformation, not every point on the left-hand graph has a visible point on the right-hand graph. A straight line can also be drawn by using the middle or right mouse button, or by shift-clicking and dragging within the magnified area. Requirements: · Java

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