

The caustic curve (or catacaustic) is the envelope of a family of reflected rays. If a set of rays parallel to the axis of a parabola is reflected in...



We take the family of parabolas with foci (0,0), whose generic member we pass through the point (0,b). We look at the locus of the points of interse...



If m is a quarter of the parameter of a parabola, and u and v are the lengths of two perpendicular tangents, we are to show that u^(2/3)/v^(4/3) + v^(...



We find the intersection of two tangents to a parabola.



We take the points at x locations x_0, x_0+h/2, and x_0+h on the curve Y=X^2, and we create triangles by connecting the points and their tangents. Not...



If we create a parametric curve where both x and y are quadratic in t, and inspect its implicit equation, we see that it is a conic.



