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Parabola as a Locus of Equal Distances
For focus $$S(a,0)$$ and directrix $$x=-a$$:
$$\sqrt{(x-a)^2+y^2}=|x+a|$$
Usage
- Used to derive or verify the equation of the parabola from its geometric definition.
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Parabola as a Locus of Equal Distances
For focus $$S(a,0)$$ and directrix $$x=-a$$:
$$\sqrt{(x-a)^2+y^2}=|x+a|$$
Usage
- Used to derive or verify the equation of the parabola from its geometric definition.
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