Properties of 5-points Conic

The properties of the conic through five points are derived using only simple geometry. This includes: -point on the conic -tangent at a point -type of conic (ellipse, parabola, hyperbola) -center of the conic -asymptotes (hyperbola) -axes -focal points It uses the classical projective geometry approach and Pascal's theorem but also a different (and IMHO more elegant) approach shown in steps 4-5 of the construction.

 

Ph_M

 
Resource Type
Activity
Tags
conic  conique 
Target Group (Age)
19+
Language
English (United Kingdom)
 
 
GeoGebra version
4.4
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978
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