You are using a piece of string and two tacks to draw ellipses on ...

[cmoore54]

You are using a piece of string and two tacks to draw ellipses on a piece of paper.
 
  How can you draw two ellipses with the same semi-major axes but different eccentricities? How can you draw two ellipses with the same eccentricity but with the semi-major axis of one double the other?

Question 2

Based on our theory of how our own solar system formed, we would expect that other solar systems would be quite common.
 
  Indicate whether the statement is true or false

[alvinum]

Answer to Question 1

a. Use the same length of string for both ellipses. For the second, move the tacks further apart to increase the eccentricity.
b. Keep the tacks the same distance apart for both ellipses. For the first, half the length of the string and then draw the ellipse. For the second, use the original length of the string.

Answer to Question 2

TRUE

[cmoore54]

Both answers were spot on, thank you once again

[alvinum]

Great! Please up vote