# Questions tagged [conic-sections]

For questions about circles, ellipses, hyperbolas, and parabolas. These curves are the result of intersecting a cone with a plane.

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### Can we define trigonometric function for every conic section?

Just like we can define circular function (or trigonometric function) for circles, hyperbolic function for hyperbola; in a similar way can we also define trigonometric parabolic or elliptic functions?...
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### polarization ellipse for complex eigenvalues corresponding the phase and eigenstates. [closed]

I want to draw polarization ellipses at 0.0 eV, 0.12 eV, 0.16 eV, and 0.2 eV for my transmission eigen-polarization-values plots using eigenphase data (in radians). I've attached the final result ...
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### Determining the Equation of a Parabola in a Three-Dimensional Plane

I have a plane with three points: P1 (x1, y1, z1), P2 (x2, y2, z2) and P3(x3, y3, z3). These points represent a parabola where P3 is the vertex and the other two points are the ends of the parabola. ...
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### Isogonal lines and an ellipse

Take two lines $l_1$ and $l_2$ with intersection $A$. We say the lines $AM$ and $AN$ are isogonal with respect to the lines $l_1$ and $l_2$ if $AM$ is the reflection of $AN$ about the bisector of an ...
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I came across this interesting artifact of a problem I was helping a friend solve where I used Euler's exponential forms of sine and cosine which later became of the form $e^{ix} + e^{-ix}$ on one ...