Circle and Ellipse

권예빈, Jun 11, 2016

원과 타원

Table of Contents

  1. circle
    1. Angle in a semi-circle
    2. Tangents to a Circle
    3. Circle Construction
    4. Angles in the same Segment (Proof)
    5. Circles and Pythagoras's Theorem
    6. Area of a Circle - Wedge Demo 1
    7. Circle related definitions
    8. The First Brocard Point
  2. ellipse
    1. Ellipse: Magic Sum = ?
    2. Ellipse: Reflective Property
    3. The Inscribed Ellipse with Foci H and O and Center N.
    4. Ellipse running
    5. Ellipse: Graphing

1.

circle

  • 1. Angle in a semi-circle
  • 2. Tangents to a Circle
  • 3. Circle Construction
  • 4. Angles in the same Segment (Proof)
  • 5. Circles and Pythagoras's Theorem
  • 6. Area of a Circle - Wedge Demo 1
  • 7. Circle related definitions
  • 8. The First Brocard Point

1.1.

Angle in a semi-circle

– Michael Borcherds

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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2.

ellipse

  • 1. Ellipse: Magic Sum = ?
  • 2. Ellipse: Reflective Property
  • 3. The Inscribed Ellipse with Foci H and O and Center N.
  • 4. Ellipse running
  • 5. Ellipse: Graphing

2.1.

Ellipse: Magic Sum = ?

Recall that an ellipse is a locus (set) of points in the plane for which the [b][color=#0000ff]sum[/color][/b] of the distances from two fixed points, called foci, remains constant.  [br][br]In the applet below, feel free to adjust the [color=#000000][b]black siders[/b][/color] and the location of the [color=#980000][b]brown point (x,y)[/b][/color] on the ellipse before dragging the blue slider.  [br][br]What is the value of this [color=#0000ff][b]special sum[/b][/color]?  
– Tim Brzezinski

2.2.

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2.3.

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2.4.

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2.5.

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