Let E; f be 2 points in the plane such that EF has length 1, and let L be a continuous curve from E to F. A chord of L is a straight line joining two points on L. Prove that if 0

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Let E; f be 2 points in the plane such that EF has length 1, and let L be a continuous curve from E to F. A chord of L is a straight line joining two points on L. Prove that if 0 < e;="" f="">< 1,and="" l="" has="" no="" chords="" of="" length="" a="" or="" b="" parallel="" to="" ef,="" then="" l="" has="" no="" chord="" of="" length="" e="" +="" f="" parallel="" to="" ef.="" prove="" that="" k="" has="" chords="" of="" length="" 1/xparallel="" to="" ef="" for="" all="" positive="" integers="" x.="" must="" l="" have="" chords="" of="" length="" r="" parallel="" to="" ef="" for="" any="" real="" r="" with="" 0="">< r=""><>

Answered Same DayDec 20, 2021

Answer To: Let E; f be 2 points in the plane such that EF has length 1, and let L be a continuous curve from E...

David answered on Dec 20 2021

115 Votes

EF=1 and L be a continuous curve joining E and F. There can be many possibilities for the curve L.

Consider two numbers e and f such that 0So if 0chord whose length e+f takes all the values...

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Let E; f be 2 points in the plane such that EF has length 1, and let L be a continuous curve from E to F. A chord of L is a straight line joining two points on L. Prove that if 0

Answer To: Let E; f be 2 points in the plane such that EF has length 1, and let L be a continuous curve from E...

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