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Manipulation of Implicit Functions (With an Eye on CAD)
Most people are familiar with the equation for a circle, $latex x^2+y^2 = r^2$: I prefer to think of it as the curve where $latex f(x,y) = \sqrt{x^2+y^2}-1$ is zero -- the locations where the Euclidean distance from $latex (0,0)$ is one. This curve is called an implicit function, and when we look at it…
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Manipulation of Implicit Functions (With an Eye on CAD)
Most people are familiar with the equation for a circle, $latex x^2+y^2 = r^2$: I prefer to think of it as the curve where $latex f(x,y) = \sqrt{x^2+y^2}-1$ is zero -- the locations where the Euclidean distance from $latex (0,0)$ is one. This curve is called an implicit function, and when we look at it…
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Manipulation of Implicit Functions (With an Eye on CAD)
Most people are familiar with the equation for a circle, $latex x^2+y^2 = r^2$: I prefer to think of it as the curve where $latex f(x,y) = \sqrt{x^2+y^2}-1$ is zero -- the locations where the Euclidean distance from $latex (0,0)$ is one. This curve is called an implicit function, and when we look at it…
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