Parabolas

Page: 1 | 2 | 3 | 4 | 5 | View All
We look at the locus of the projection of the focus onto the normal, which turns about to be another parabola.
Download .gx File Expression Count: 2
We find the coordinates of the intersection of the normals to the parabola.
Download .gx File Expression Count: 1
We set the fixed point at the origin and the given line to be Y=b. The locus of the center of the circle is a parabola
Download .gx File Expression Count: 3
Set the short sides along the axes with lengths a and k-a. The equation is clearly a conic, and in fact a parabola:
Download .gx File Expression Count: 3
Here is the evolute, expressed in terms of the parameter (the parameter p, being four times the distance between vertex and focus).
Download .gx File Expression Count: 2
A is at the origin, B on the line X=a. We take the envelope of the line through B at angle η to AB. The equation is complicated, but clearly a ...
Download .gx File Expression Count: 3
The focal chord of curvature is the chord of the circle of curvature which passes through the focus. Its length is simply expressed in terms of t.
Download .gx File Expression Count: 3
Here is the evolute, expressed in terms of the parameter (the parameter p, being four times the distance between vertex and focus).
Download .gx File Expression Count: 2
Google Analytics Alternative