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Equation
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Parabola: The Equation
The parabola is defined by a rule, not a formula: stay equally far from a point and a line. Put the focus at (a, 0) and the directrix at x = -a, write the two distances down, set them equal, square both sides — and almost everything cancels. What survives is y^2 = 4ax. One term on each side, and that is the entire curve. This is chapter 5 of ...
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