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Two Touching Ellipses - Tangents, Centres and Collinearity

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#geometry #contest-math #analytic-geometry #conic-sections
464
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Question about tangent conics

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#geometry #algebraic-geometry #analytic-geometry #conic-sections #projective-geometry
733
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Equation of auxiliary circle of ellipse $2x^2+6xy+5y^2=1$

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#analytic-geometry #conic-sections
1k
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Prove that two distinct points are contained by at most one line?

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#analytic-geometry
695
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Quadrilateral in a Parallelogram - Interesting Proofs!

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#geometry #vectors #euclidean-geometry #analytic-geometry #proof-without-words
166
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"by symmetry" argument when showing that two curves are orthogonal.

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#calculus #analytic-geometry #symmetry
8.3k
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Expressing angle between two vectors in 3D in terms of spherical polar coordinates

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#vectors #analytic-geometry #vector-analysis #spherical-geometry #spherical-trigonometry
99
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Geometric proof of a result obtained analytically?

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#euclidean-geometry #analytic-geometry
439
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Some point in a line $Ax+By+C=0$

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#linear-algebra #analytic-geometry
50
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Existence of constant function on analytic manifold.

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#differential-geometry #analytic-geometry #complex-geometry
49
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Are geometric lines and $\mathbb{R}$ formally identical objects?

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#real-analysis #analytic-geometry
501
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Show that the normals at the points of contact meet on the line $\frac{y}{y_1}=\frac{x}{x_1}$

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#geometry #analytic-geometry #conic-sections
170
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Geometric significace of oblique parabola parameters

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#analytic-geometry
248
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Math behind spotlight following a point on a projector screen?

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#analytic-geometry #spherical-coordinates
1.2k
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In an equation,if any variable is not equal to zero,we can multiply or divide the equation with it,does this also imply that it is also undefined?

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#linear-algebra #analytic-geometry

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