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Space of quadrics

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#algebraic-geometry #polynomials #projective-geometry #projective-space #quadrics
6.5k
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Find equation of the cone through the coordinate axes and lines $\frac{x}{1}=\frac{y}{-2}=\frac{z}{3}$ and $\frac{x}{3}=\frac{y}{2}=\frac{z}{-1}$.

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#quadrics
36
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How can I call "trivial" quadrics, like empty set, single point, straight line, plane, two lines, two planes...?

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#geometry #euclidean-geometry #terminology #analytic-geometry #quadrics
65
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How many points are needed to uniquely determine a cone?

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#analytic-geometry #3d #quadrics
86
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Converting a sphere equation to a homogenous one to obtain the equation of a cone

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#analytic-geometry #3d #quadrics
41
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Quadratic surface where variables are functions

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#derivatives #quadratics #quadrics
63
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Identifying a paraboloid tangent to a number of planes

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#analytic-geometry #3d #quadrics
72
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Identifying an ellipsoid from $9$ planes that are tangent to it

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#geometry #projective-geometry #quadrics #system-identification
38
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Determining the distance between a plane and an elliptic paraboloid

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#geometry #analytic-geometry #projective-geometry #quadrics
44
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Find the projected ellipse on a plane from a given $3D$ ellipse

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#linear-algebra #vectors #analytic-geometry #conic-sections #quadrics
82
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hyperplanes as intersection with cones

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#linear-algebra #vector-spaces #affine-geometry #quadrics
112
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Intersection of a certain ellipsoid with a given plane

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#solution-verification #vectors #conic-sections #3d #quadrics
150
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A planar cut through an oblique cone

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#linear-algebra #geometry #analytic-geometry #conic-sections #quadrics
161
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Angle of tilt of a cup so that the water surface touches the rim

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#geometry #trigonometry #analytic-geometry #conic-sections #quadrics
78
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Volume of water that can fill up a tilted conical cup

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#trigonometry #analytic-geometry #conic-sections #volume #quadrics

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