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    If you call a tangent a line touching a circle at one point, and a secant two...

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    • The Blade Dancer
      The Blade Dancer M0★ M1★ M2★ M3★ M4 M5 last edited by debbie

      If you call a tangent a line touching a circle at one point, and a secant two...

      Is there anything you call a line that touches a circle at 3 or more points? If you have a line directly on one part of the circumference, do you have a line touching the circle at more than 2 points?

      The Blade Dancer
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      debbie E 2 Replies Last reply Reply Quote 6
      • debbie
        debbie ADMIN M0★ M1 M5 @The Blade Dancer last edited by debbie

        @the-blade-dancer That's interesting. 🙂 Actually, I do believe it's not possible for a straight line to intersect a circle at three points, though a curve or a shape definitely could. A triangle could intersect a circle at three points. And if two circles are the same size and lie right on top of each other, I suppose you could say they intersect at \(\infty\) infinitely-many points! 🙂

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        • E
          energizedpanda M2★ M3★ M4 M5★ @The Blade Dancer last edited by

          @the-blade-dancer I suppose you can prove this with coordinate bashing, that it is impossible for a line to touch a circle at more than 2 points.

          ~∑nergized Pand∆

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