Was ist der Unterschied zwischen Parabel, Ellipse, Hyperbel und Kreis?

mathematisch
Kreis: ${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$ $(x-h)^2+(y-k)^2=r^2$
Parabel: ${(x - h)}^{2} = (y - k)$ $(x-h)^2=(y-k)$
Ellipse: $\frac{{(x - h)}^{2}}{a^{2}} + \frac{{(y - k)}^{2}}{b}$ $(x-h)^2/a^2+(y-k)^2/b$
Hyperbel: $\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$ $(x-h)^2/a^2-(y-k)^2/b^2=1$

Traurig

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