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Conic sections

Conic sections · Diagrams

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From a unit circle to an ellipse

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Three stages: unit circle, horizontal stretch by positive a replacing x with x/a, then vertical stretch by positive b replacing y with y/b. Result x²/a²+y²/b²=1. Example factors a=2,b=3; equal axis scales.
Three stages: unit circle, horizontal stretch by positive a replacing x with x/a, then vertical stretch by positive b replacing y with y/b. Result x²/a²+y²/b²=1. Example factors a=2,b=3; equal axis scales.
Three stages: unit circle, horizontal stretch by positive a replacing x with x/a, then vertical stretch by positive b replacing y with y/b. Result x²/a²+y²/b²=1. Example factors a=2,b=3; equal axis scales.
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