quadric shits

Ellipsoid (or sphere)

x²/a² + y²/b² + z²/c² = 1

Cylinder/circle

x²+y² = constant

Cone

x²/a² + y²/b² = z²/c²

Elliptic Paraboloid

x²/a² + y²/b² = z/c

Hyperboloid of One Sheet

x²/a² + y²/b² -z²/c² = 1

Hyperboloid of Two Sheets

-x²/a² - y²/b² + z²/c² = 1