The orbit of the earth, around the sun is elliptical. And, I expect that you are living on the earth and orbiting the sun every day.
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The ellipse can be found in the orbits of the planets around the sun, the orbit of the Hailey comet and the shape of the President's Park South in Washington DC.
The limacon can be found in the pattern of a snail's shell.
The nephroid can be found in the caustics of cups, the shape of a kidney and the shape of a walnut.
how are emeralds use in everyday life
Everyday life is frequently irrational.
Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.