Kegelschnitte

Michael Porics, Aug 18, 2017

Table of Contents

  1. Ellipse
    1. Conic Analysis
    2. Hyperboloid Views
    3. Kegelschnitte: Namensgebung
    4. Ellipse: Zur Berechnung der Krümmungskreise
    5. Text und Formeln am Beispiel Ellipsengleichung
    6. Parabola and Dandelin Sphere
    7. Ellipse Equation Anatomy and Exploration
  2. Kreis
    1. Circle Equation: Quick Refresher
    2. Graphing Circles in the Coordinate Plane
    3. Circle Equation Anatomy and Exploration

1.

Ellipse

  • 1. Conic Analysis
  • 2. Hyperboloid Views
  • 3. Kegelschnitte: Namensgebung
  • 4. Ellipse: Zur Berechnung der Krümmungskreise
  • 5. Text und Formeln am Beispiel Ellipsengleichung
  • 6. Parabola and Dandelin Sphere
  • 7. Ellipse Equation Anatomy and Exploration

1.1.

Conic Analysis

In the applet below, a conic section is shown. [br][br]Recall[br][br][b][color=#38761d]c = distance from center to either focus[/color][/b][br][color=#ff00ff][b]a = distance from center to either vertex[br][/b][/color]
1.
How would you describe a conic that has c = 0?
2.
How would you describe a conic that has c < a ?
3.
How would you describe a conic that has c > a ?
4.
What happens when c = a ???
– Tim Brzezinski

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

2.

Kreis

  • 1. Circle Equation: Quick Refresher
  • 2. Graphing Circles in the Coordinate Plane
  • 3. Circle Equation Anatomy and Exploration

2.1.

Circle Equation: Quick Refresher

– Tim Brzezinski

2.2.

–

2.3.

–

Information