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Math Help - Definition of the loci of a Circle and an Ellipse, differences/similarities.

  1. #1
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    Definition of the loci of a Circle and an Ellipse, differences/similarities.

    I'm working on an assignment in my Algebra II class right now, and my teacher wants me to examine the definition of the loci of a circle and the loci of an ellipse. Then describe at least 3 similarities in the definitions and, describe at least 2 differences in the definitions.

    I'm so confused, I have read the chapter on it up and down and watched the video she gives us for help.. I'm so confused, help?

    Even if you could point me in the right direction, please.
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    Quote Originally Posted by maramfaith24 View Post
    I'm working on an assignment in my Algebra II class right now, and my teacher wants me to examine the definition of the loci of a circle and the loci of an ellipse. Then describe at least 3 similarities in the definitions and, describe at least 2 differences in the definitions.

    I'm so confused, I have read the chapter on it up and down and watched the video she gives us for help.. I'm so confused, help?

    Even if you could point me in the right direction, please.
    Do you know what a loci is? What thoughts have you had? Have you used Google?
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    I know the loci is the set of points that make up: ellipses, circles, etc. am I right? I'm taking an online class, and I am horrible at math already..
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    Quote Originally Posted by mr fantastic View Post
    Do you know what a loci is? What thoughts have you had? Have you used Google?
    A "locus". "loci" is the plural.
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    Quote Originally Posted by HallsofIvy View Post
    A "locus". "loci" is the plural.
    Yes, I should have said "what loci are?" (From your last few posts, it seems someone gave you The Oxford Reference of English For Mathematics as a Christmas present and you're making excellent use of it ).
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    A circle is defined as "the locus of points a constant distance from a given point (the center)". An ellipse is defined by "the locus of points such that the sum of the distances from two given points (the foci)_ is constant". As you move the two foci closer and closer, the ellipse becomes closer and closer to a circle. When the two foci merge, the ellipse becomes a circle. How many of symmetry does a circle have? How many does an ellipse have.
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