CHAPTER 9
CONICS
A conic section (or simply conic) is the
intersection of a plane and a double-napped
cone.
Four Basic conics:
1) Circle
2) Ellipse
3) Parabola
4) Hyperbola
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Digital Figures, 9–1
Basic Conics
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Digital Figures, 9–2
The four
basic conics:
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Digital Figures, 9–3
Degenerate Conics- when a plane does
pass through the vertex.
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Digital Figures, 9–4
Locus
Each of the conics is defines as a locus
(collection) of points satisfying a certain
geometric property.
For example, the definition of a circle is the
collection of all points (x, y) that are
equidistant from a fixed point (h, k) leads to
standard form of a circle
(x – h)2 + (y – k)2 = r2
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Digital Figures, 9–5