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Chapter 4
Quadric surfaces
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111
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10 · Set equations in space and elementary theory of second-order surfaces
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11 · General theory of surfaces of the second order
Section 10
Set equations in space and elementary theory of second-order surfaces
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Subsection 10.1
Image of a second-order surface. Types of second-order surfaces (10.1-10.17)
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Subsection 10.2
Surfaces of revolution, cylinders and cones (10.18-10.45)
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Subsection 10.3
Sections of quadratic surfaces (10.46-10.76)
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Subsection 10.4
Straight generators of quadratic surfaces (10.77-10.88)
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Section 11
General theory of surfaces of the second order
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Subsection 11.1
Invariants. General properties of quadratic surfaces (11.1-11.18)
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Subsection 11.2
Determining the type and location of a surface given by a general equation of the second order (11.19-11.23)
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