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2016 MATS3210 Session 2: Conic Sections
Coordinate Treatment of Loci
Conic Sections: Ellipse, Hyperbola and Parabola
(Optional) Exercise on equations of loci
2016 MATS3210 Session 2: Conic Sections
Author:
GeoGebra Institute of Hong Kong
2016 MATS3210 Further Excursions in Geometry and Algebra with GeoGebra Session 2: Conic Sections
Table of Contents
Coordinate Treatment of Loci
Locus: PA = PB
Locus: PA = 2PB
Locus: PA = k PB
Locus: PA + PB = 10 (ellpise)
Locus: PA - PB = 5 (hyperbola)
Ellipse and Hyperbola
Locus: PA = Distance from P to Directrix (Parabola)
Parabola
Assignment
Conic Sections: Ellipse, Hyperbola and Parabola
Definition of an ellipse (Locus)
Intersecting a cylinder and a plane
Movable Dandelin spheres
Fixed Dandelin spheres
Conic Sections
Further Investigation
(Optional) Exercise on equations of loci
Equation of Locus of Problem 1
Piriform: Equation
Egg Curve
Equations of Straight Lines 1
Equations of Straight Lines 2
Equations of Circles 1
Equations of Circles 2
Next
Locus: PA = PB
New Resources
Shade a spheric triangle with "surface".
Oriented Angles and the Unit Circle
Graphing Logarithmic Functions
Lorenz Attractor: Multiple particles
Chaotic behaviour
Discover Resources
test214
Practice Work
Lesson 5 (Area of a Circle)
Horizontal Reflect Caterpillar
Parallelogrammatic Pyramid 2
Discover Topics
Upper and Lower Sum or Riemann Sum
Parabola
Secant Line or Secant
Volume
Rational Numbers