I need a paragraph proof for proving that a circle and a line cannot intersect in three or more points.    I am confused on the answer that was provided already and was wondering if someone could help clarify it for me

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I need a paragraph proof for proving that a circle and a line cannot intersect in three or more points. 

 

I am confused on the answer that was provided already and was wondering if someone could help clarify it for me

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