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This diagram clarifies the different angles of the cutting planes that result in the different properties of the three types of conic section.
This diagram clarifies the different angles of the cutting planes that result in the different properties of the three types of conic section.
Types of conic sections: 1: Circle 2: Ellipse 3: Parabola 4: Hyperbola
Types of conic sections: 1: Circle 2: Ellipse 3: Parabola 4: Hyperbola
Diagram from Apollonius' Conics, in a 9th-century Arabic translation
Diagram from Apollonius' Conics, in a 9th-century Arabic translation
Table of conics, Cyclopaedia, 1728
Table of conics, Cyclopaedia, 1728
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Megalithic art from Newgrange showing an early interest in curves
Megalithic art from Newgrange showing an early interest in curves
A dragon curve with a positive area
A dragon curve with a positive area