Conic curve, also known as conic curve, is a plane curve obtained by the intersection of a plane and a right conical surface. The unified definition of conic curve means that the locus of a point whose ratio e between the distance to the fixed point F and the distance to the fixed line L is constant (F is not on L) is called conic curve.
Hyperbolic x/a-y/b =1(a > 0, b>0) is x = a/c (c = a+b), y/a-x/b =1(a > 0, b>0) is y = a/c, parabola: y=2px, y=-2px, x=2py, x=-2py.
Formula introduction:
A conic curve is a curve obtained by cutting a plane into a conic surface. Conic curves include ellipse (circle is a special case of ellipse), parabola and hyperbola. The ancient Greek mathematicians who originated more than 2000 years ago first began to study conic curves.
Curve is one of the main objects of differential geometry research. Intuitively, the curve can be regarded as the trajectory of particle motion in space. Differential geometry is a subject that uses calculus to study geometry. In order to apply the knowledge of calculus, we can't consider all curves, even continuous curves, because continuity is not necessarily differentiable.