Who came up with the names: ellipse, hyperbola, parabola, and circle?

The names come from an eight volume work called Conics by Apollonius, who gave us the names ellipse, parabola, and hyperbola.

Here is a link:

http://www.daviddarling.info/encyclopedia/C/conic....

Some real life examples would include:

the mirrors of telescopes are parabolic

the orbits of the planets are elliptical

You can find many more examples by doing a search yourself.

Go for it.

Good luck.

x^2+y^2+6y-6y=2 x^2+y^2=2 CIRCLE, concentrated interior the inspiration with radius sqrt(2) x^2+25y^2=50 x^2/50 +y^2/2 =one million ELLIPSE, concentrated interior the inspiration, with vertical important axis of sqrt(2) and horizontal important axis of sqrt(50). x^2-y^2-2x-4y=28 HYPERBOLA x^2 - 2x - y^2 -4y = 28 winding up THE sq.: x^2 - 2x +one million -one million - y^2 -4y - 4 + 4 = 28 FACTORIZE: (x-one million)^2 - (y+2)^2 +3 = 28 (x-one million)^2/25 - (y+2)^2/25 = one million it is an hyperbola with horizontal transverse axis with CENTRE at (one million,-2) with foci at x= 6 and -4. the asymptote equations i are y = - (a/b)x and y = (a/b)x right here a = b = sqrt(25) = 5.