<![CDATA[If you call a tangent a line touching a circle at one point, and a secant two...]]>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?

]]>https://forum.poshenloh.com/topic/678/if-you-call-a-tangent-a-line-touching-a-circle-at-one-point-and-a-secant-twoRSS for NodeThu, 08 Dec 2022 21:15:22 GMTWed, 23 Dec 2020 02:18:50 GMT60<![CDATA[Reply to If you call a tangent a line touching a circle at one point, and a secant two... on Sun, 03 Jan 2021 15:40:07 GMT]]>@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.
]]>https://forum.poshenloh.com/post/3830https://forum.poshenloh.com/post/3830Sun, 03 Jan 2021 15:40:07 GMT<![CDATA[Reply to If you call a tangent a line touching a circle at one point, and a secant two... on Wed, 23 Dec 2020 19:12:38 GMT]]>@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!
]]>https://forum.poshenloh.com/post/3663https://forum.poshenloh.com/post/3663Wed, 23 Dec 2020 19:12:38 GMT