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Parametric equation of a shifted parabola

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#conic-sections
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Find the equation of parabola, when tangent at two points and vertex is given

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#analytic-geometry #conic-sections
500
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Equation of a parabola, given the vertex and the axis

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#geometry #conic-sections
62
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Conic bundle: find the locus of the centers

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#linear-algebra #geometry #conic-sections #projective-geometry
263
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Find parabola tangent to circle

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#algebra-precalculus #systems-of-equations #conic-sections
49
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Find points in a multi-dimensional half cone

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#geometry #conic-sections #convex-cone
4.2k
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How to find the point on an ellipse that is closest to the point A outside of the ellipse

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#calculus #derivatives #conic-sections
88
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Given a conic $\mathscr{C}$, find a linear application $F$, that is not an isometry, s.t. $F(\mathscr{C})=\mathscr{C}$

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#linear-algebra #geometry #linear-transformations #conic-sections
288
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Integrating over region bounded by two ellipses

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#multivariable-calculus #definite-integrals #conic-sections
101
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On the equation of an ellipse in analytic geometry

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#algebra-precalculus #analytic-geometry #conic-sections
344
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What is parametric equations of a locus of a fixed point of a circle rolling along a ellipse in $\mathbb{R}^2$?

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#geometry #circles #conic-sections #locus #cycloid
1k
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Vertex and axis of $n$-dimensional paraboloid

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#algebraic-geometry #conic-sections #quadrics
565
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Equation of hyperbola from asymptote?

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#analytic-geometry #conic-sections
106
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What is the shape traced by the tip of shadow by a tilted stick?

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#geometry #contest-math #conic-sections #projective-geometry
574
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Focus of parabola with directrix $x=2$ and vertex not at origin?

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#geometry #euclidean-geometry #analytic-geometry #conic-sections #coordinate-systems

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