A little of what used to be called Theory of Equations:
1. If one graphs X and Y from the equation Y = A * X + B usually one sees the
familiar straight line. For now, we'll skip over exotic geometries which don't
have straight lines.
2. Now, if we complicate matters a little we can add a dimension and form
an equation that looks like Y = A* X * X + B * X + C. Depending on the
relationships between A, B and C this equation might graph as
1. If one graphs X and Y from the equation Y = A * X + B usually one sees the
familiar straight line. For now, we'll skip over exotic geometries which don't
have straight lines.
2. Now, if we complicate matters a little we can add a dimension and form
an equation that looks like Y = A* X * X + B * X + C. Depending on the
relationships between A, B and C this equation might graph as
"The A B C's we all must face
And try to keep a little grace"
from the song Touch of Grey by Robert Hunter and Jerry Garcia
And try to keep a little grace"
from the song Touch of Grey by Robert Hunter and Jerry Garcia
| ELLIPSE |
| PARABOLA |
| HYPERBOLA |
The fancy fractal hyperbolas image on the right is courtesy Berkhan Software of Germany
(http://www.berkhan.com) who pointed out that ELAND's sparse examples of conics (on the left)
might cause a viewer to believe there was simple solution for Oakland, Kansas City and hundreds of
other schools.
(http://www.berkhan.com) who pointed out that ELAND's sparse examples of conics (on the left)
might cause a viewer to believe there was simple solution for Oakland, Kansas City and hundreds of
other schools.