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Chapter 3
Quadratic curves
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120
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83%
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7 · Geometric properties of second-order curves and their canonical equations
8 · Tangents to conic sections
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9 · General theory of second-order curves
Section 7
Geometric properties of second-order curves and their canonical equations
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Subsection 7.1
Circle (7.1-7.10)
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Subsection 7.2
Sets of points on a plane, in the study of which equations of second-order curves are used (7.11-7.20)
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Subsection 7.3
Ellipse (7.21-7.34)
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Subsection 7.4
Hyperbola (7.35-7.50)
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Subsection 7.5
Parabola (7.51-7.65)
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15
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Section 8
Tangents to conic sections
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33
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Section 9
General theory of second-order curves
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22
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Subsection 9.1
Reducing the equation of a second-order curve to canonical form (9.1-9.10)
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Subsection 9.2
Second-order curves in a general Cartesian coordinate system (9.11-9.22)
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