Notices
Results 1 to 24 of 24

Thread: Is a perfect circle possible?

  1. #1 Is a perfect circle possible? 
    Forum Freshman
    Join Date
    May 2023
    Posts
    12
    A perfect circle must have an infinite number of edges, and I donít see how this is possible, and even if it was possible, would it be possible to measure? I find this very interesting and would love to hear someone elseís thoughts about this.


    Reply With Quote  
     

  2.  
     

  3. #2  
    KJW
    KJW is offline
    Forum Professor
    Join Date
    Jun 2013
    Posts
    1,822
    x2 + y2 = r2


    There are no paradoxes in relativity, just people's misunderstandings of it.
    Reply With Quote  
     

  4. #3  
    Moderator Moderator Janus's Avatar
    Join Date
    Jun 2007
    Posts
    2,251
    Look at the series: 1/2, 1/3,1/4...1/n
    As n gets larger and larger, the result of the fraction approaches 0, but never reaches it. But that doesn't mean 0 can't exist.
    In the same way, just because you can't get to a circle by continuing to add sides to a polygon doesn't mean a circle can't exist.
    "Men are apt to mistake the strength of their feelings for the strength of their argument.
    The heated mind resents the chill touch & relentless scrutiny of logic"-W.E. Gladstone


    Edit/Delete Message
    Reply With Quote  
     

  5. #4  
    Time Lord
    Join Date
    Feb 2009
    Posts
    5,167
    Quote Originally Posted by Janus View Post
    Look at the series: 1/2, 1/3,1/4...1/n
    As n gets larger and larger, the result of the fraction approaches 0, but never reaches it. But that doesn't mean 0 can't exist.
    In the same way, just because you can't get to a circle by continuing to add sides to a polygon doesn't mean a circle can't exist.
    Does it(a perfect circle) exist in the physical world?
    Or is asymmetry built into all physical objects?
    Reply With Quote  
     

  6. #5  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by RyanCulbertson View Post
    A perfect circle must have an infinite number of edges, and I donít see how this is possible, and even if it was possible, would it be possible to measure? I find this very interesting and would love to hear someone elseís thoughts about this.
    theoretically yes ,it is of course possible.
    in complex analysis , a line can be assumed / accepted as a circle.

    may I ask , what did you mean by a specific keyword "measure" here?

    external question: do you have any mathematical background of knowledge? (Detected keyword as a potential reason for this question: "measure")
    Reply With Quote  
     

  7. #6  
    Forum Freshman
    Join Date
    May 2023
    Posts
    12
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by RyanCulbertson View Post
    A perfect circle must have an infinite number of edges, and I don’t see how this is possible, and even if it was possible, would it be possible to measure? I find this very interesting and would love to hear someone else’s thoughts about this.
    theoretically yes ,it is of course possible.
    in complex analysis , a line can be assumed / accepted as a circle.

    may I ask , what did you mean by a specific keyword "measure" here?

    external question: do you have any mathematical background of knowledge? (Detected keyword as a potential reason for this question: "measure")
    Measure meaning “if we succeeded in making a perfect circle, or saw a perfect circle, could be measure it?”
    Reply With Quote  
     

  8. #7  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by RyanCulbertson View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by RyanCulbertson View Post
    A perfect circle must have an infinite number of edges, and I don’t see how this is possible, and even if it was possible, would it be possible to measure? I find this very interesting and would love to hear someone else’s thoughts about this.
    theoretically yes ,it is of course possible.
    in complex analysis , a line can be assumed / accepted as a circle.

    may I ask , what did you mean by a specific keyword "measure" here?

    external question: do you have any mathematical background of knowledge? (Detected keyword as a potential reason for this question: "measure")
    Measure meaning “if we succeeded in making a perfect circle, or saw a perfect circle, could be measure it?”
    this is irrelevant / unexpected response.
    if you used this word with the meaning as same as it passes for in every daily routine actions, then no you can never measure any quantity if it is defined as infinitive.
    it is just a definition to me and I do not know why you are asking such a question.

    meanwhile, perfect is not a mathematical description to me , rather , it is qualitative & subjective.
    Reply With Quote  
     

  9. #8  
    Forum Professor
    Join Date
    Jul 2008
    Location
    New York State
    Posts
    1,297
    Perfect circle is a mathematical construct. Measuring as you used it is physical. What physical object are you trying to measure?
    Reply With Quote  
     

  10. #9  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by mathman View Post
    Perfect circle is a mathematical construct. Measuring as you used it is physical. What physical object are you trying to measure?
    I am mathematician and I do not recognize this description unless you implied "ring(s)" by "circle".
    Reply With Quote  
     

  11. #10  
    Time Lord
    Join Date
    Feb 2009
    Posts
    5,167
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by mathman View Post
    Perfect circle is a mathematical construct. Measuring as you used it is physical. What physical object are you trying to measure?
    I am mathematician and I do not recognize this description unless you implied "ring(s)" by "circle".
    That is strange .I understand perfectly what mathman said.

    Does being a mathematician make it hard to understand simple statements?
    Reply With Quote  
     

  12. #11  
    Moderator Moderator Janus's Avatar
    Join Date
    Jun 2007
    Posts
    2,251
    Quote Originally Posted by RyanCulbertson View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by RyanCulbertson View Post
    A perfect circle must have an infinite number of edges, and I don’t see how this is possible, and even if it was possible, would it be possible to measure? I find this very interesting and would love to hear someone else’s thoughts about this.
    theoretically yes ,it is of course possible.
    in complex analysis , a line can be assumed / accepted as a circle.

    may I ask , what did you mean by a specific keyword "measure" here?

    external question: do you have any mathematical background of knowledge? (Detected keyword as a potential reason for this question: "measure")
    Measure meaning “if we succeeded in making a perfect circle, or saw a perfect circle, could be measure it?”
    To the same degree that we could measure a "perfect" square, or a "perfect" equilateral triangle, etc. There's nothing special about a circle in that regard.
    "Men are apt to mistake the strength of their feelings for the strength of their argument.
    The heated mind resents the chill touch & relentless scrutiny of logic"-W.E. Gladstone


    Edit/Delete Message
    Reply With Quote  
     

  13. #12  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by geordief View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by mathman View Post
    Perfect circle is a mathematical construct. Measuring as you used it is physical. What physical object are you trying to measure?
    I am mathematician and I do not recognize this description unless you implied "ring(s)" by "circle".
    That is strange .I understand perfectly what mathman said.

    Does being a mathematician make it hard to understand simple statements?
    I did not say "I do not understand " just said that "I did not recognize" such a description.
    (lets take a suitable glasses for yourself if you have trouble to see what I write )
    Last edited by unknown_artist; May 27th, 2023 at 02:41 PM.
    Reply With Quote  
     

  14. #13  
    Time Lord
    Join Date
    Feb 2009
    Posts
    5,167
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by geordief View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by mathman View Post
    Perfect circle is a mathematical construct. Measuring as you used it is physical. What physical object are you trying to measure?
    I am mathematician and I do not recognize this description unless you implied "ring(s)" by "circle".
    That is strange .I understand perfectly what mathman said.

    Does being a mathematician make it hard to understand simple statements?
    I did not say "I do not understand " just said that "I did not recognize" such a description.
    (lets take a suitable glasses for yourself if you have trouble to see what I write )
    Are you saying mathman's description is wrong?

    And why did you not answer mathman's question?
    Reply With Quote  
     

  15. #14  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by geordief View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by geordief View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by mathman View Post
    Perfect circle is a mathematical construct. Measuring as you used it is physical. What physical object are you trying to measure?
    I am mathematician and I do not recognize this description unless you implied "ring(s)" by "circle".
    That is strange .I understand perfectly what mathman said.

    Does being a mathematician make it hard to understand simple statements?


    I did not say "I do not understand " just said that "I did not recognize" such a description.
    (lets take a suitable glasses for yourself if you have trouble to see what I write )
    1) Are you saying mathman's description is wrong?

    2) And why did you not answer mathman's question?
    1)I did not say that his description was wrong or right. I just said that as mathematician I did not recognize such a description.

    2)Because he asked that question to OP!

    eh!, it seems you not only do not understand something but also confuse!

    check the contexts carefully please.
    Reply With Quote  
     

  16. #15  
    Genius Duck Dywyddyr's Avatar
    Join Date
    Jan 2013
    Location
    Scunthorpe, UK
    Posts
    12,052
    Quote Originally Posted by unknown_artist View Post
    1)I did not say that his description was wrong or right.
    But which is it?
    I just said that as mathematician I did not recognize such a description.
    So do perfect circles actually exist in the physical world?
    2)Because he asked that question to OP!
    So do you have an answer or not?
    "[Dywyddyr] makes a grumpy bastard like me seem like a happy go lucky scamp" - PhDemon
    Reply With Quote  
     

  17. #16  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by Dywyddyr View Post
    Quote Originally Posted by unknown_artist View Post
    1)I did not say that his description was wrong or right.
    A) But which is it?
    I just said that as mathematician I did not recognize such a description.
    B)So do perfect circles actually exist in the physical world?
    2)Because he asked that question to OP!
    C)So do you have an answer or not?
    A) I did not understand what you ask here clearly. But once again, I want to say that I did not say that that description was wrong or right.
    B) I do not know. I am not sure whether a mathematician would be willing to deal such an irrelevant problem but in my personal opinion, I think it is rather valueless question regarding academic mathematics.
    ,if for instance, it was a circle defined by any type of laurent series, then a mathematician would perfectly be willing to deal with that, but in the current case...

    C) As clearly explained in detail, I have no idea about perfect circle, as a mathematician.
    Reply With Quote  
     

  18. #17  
    Genius Duck Dywyddyr's Avatar
    Join Date
    Jan 2013
    Location
    Scunthorpe, UK
    Posts
    12,052
    Quote Originally Posted by unknown_artist View Post
    C) As clearly explained in detail, I have no idea about perfect circle, as a mathematician.
    Then why are you "contributing"?
    "[Dywyddyr] makes a grumpy bastard like me seem like a happy go lucky scamp" - PhDemon
    Reply With Quote  
     

  19. #18  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by Dywyddyr View Post
    Quote Originally Posted by unknown_artist View Post
    C) As clearly explained in detail, I have no idea about perfect circle, as a mathematician.
    Then why are you "contributing"?
    as I provided , by some specific keyword(s),I gave probability that the issue which OP redirected might have relevance with mathematics.
    for instance , when I see "measure" keyword ,I supposed he mentions something about measure theory (Real analysis ,check please) but I clearly see no context is given that might create (cor)relation between these two issues. so , no mathematical relevance is available in this regard.
    I also attemped to understand "rings" by circle as someone may confuse these two description in transliterational understanding. but it seems no. (check please the KJW's equation which we give to primary school students (it is very easy))


    By whole assessing this thread , I could not find any critical relevance with mathematics. this is a thread which may fall inside with high school level or primary school level maths rather than BSc level maths.
    Reply With Quote  
     

  20. #19  
    Time Lord
    Join Date
    Feb 2009
    Posts
    5,167
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by Dywyddyr View Post
    Quote Originally Posted by unknown_artist View Post
    C) As clearly explained in detail, I have no idea about perfect circle, as a mathematician.
    Then why are you "contributing"?
    as I provided , by some specific keyword(s),I gave probability that the issue which OP redirected might have relevance with mathematics.
    for instance , when I see "measure" keyword ,I supposed he mentions something about measure theory (Real analysis ,check please) but I clearly see no context is given that might create (cor)relation between these two issues. so , no mathematical relevance is available in this regard.
    I also attemped to understand "rings" by circle as someone may confuse these two description in transliterational understanding. but it seems no. (check please the KJW's equation which we give to primary school students (it is very easy))


    By whole assessing this thread , I could not find any critical relevance with mathematics. this is a thread which may fall inside with high school level or primary school level maths rather than BSc level maths.
    What is your first language?I struggle to understand what you are saying.
    Reply With Quote  
     

  21. #20  
    Forum Sophomore
    Join Date
    Jan 2018
    Posts
    120
    Quote Originally Posted by geordief View Post
    Quote Originally Posted by unknown_artist View Post
    Quote Originally Posted by Dywyddyr View Post
    Quote Originally Posted by unknown_artist View Post
    C) As clearly explained in detail, I have no idea about perfect circle, as a mathematician.
    Then why are you "contributing"?
    as I provided , by some specific keyword(s),I gave probability that the issue which OP redirected might have relevance with mathematics.
    for instance , when I see "measure" keyword ,I supposed he mentions something about measure theory (Real analysis ,check please) but I clearly see no context is given that might create (cor)relation between these two issues. so , no mathematical relevance is available in this regard.
    I also attemped to understand "rings" by circle as someone may confuse these two description in transliterational understanding. but it seems no. (check please the KJW's equation which we give to primary school students (it is very easy))


    By whole assessing this thread , I could not find any critical relevance with mathematics. this is a thread which may fall inside with high school level or primary school level maths rather than BSc level maths.
    What is your first language?I struggle to understand what you are saying.
    you are stupid!
    Reply With Quote  
     

  22. #21  
    Bullshit Intolerant PhDemon's Avatar
    Join Date
    Feb 2013
    Location
    Newcastle-upon-Tyne, UK
    Posts
    5,629
    Geordie, just ignore him, he has form for posting incoherent irrelevancies and being a jerk when asked to explain what he means...
    Reply With Quote  
     

  23. #22  
    Time Lord
    Join Date
    Feb 2009
    Posts
    5,167
    Quote Originally Posted by PhDemon View Post
    Geordie, just ignore him, he has form for posting incoherent irrelevancies and being a jerk when asked to explain what he means...
    Yes I half remember previous episodes but was curious what is his or her first language since that can sometimes help to understand what they may be trying to say.

    I am going to guess he is Belgian or Breton ,maybe.

    Very good English apart from that.
    Reply With Quote  
     

  24. #23  
    Forum Professor
    Join Date
    Jul 2008
    Location
    New York State
    Posts
    1,297
    In high school geometry, circles are defined. Also in high school physics, measuring things us taught. These should do for this discussion.
    Reply With Quote  
     

  25. #24  
    Genius Duck Dywyddyr's Avatar
    Join Date
    Jan 2013
    Location
    Scunthorpe, UK
    Posts
    12,052
    Quote Originally Posted by unknown_artist View Post
    you are stupid!
    See you in 3 days.
    "[Dywyddyr] makes a grumpy bastard like me seem like a happy go lucky scamp" - PhDemon
    Reply With Quote  
     

Similar Threads

  1. Why not a square become a circle?
    By roybaxter in forum Mathematics
    Replies: 11
    Last Post: April 9th, 2023, 06:00 AM
  2. Replies: 5
    Last Post: February 9th, 2012, 05:23 PM
  3. Why 360' in a circle?
    By GiantEvil in forum Mathematics
    Replies: 3
    Last Post: February 18th, 2011, 06:03 PM
  4. Area of a circle
    By clearwar in forum Mathematics
    Replies: 50
    Last Post: November 25th, 2008, 02:11 PM
  5. The circle goes around
    By Sciler in forum Politics
    Replies: 14
    Last Post: July 9th, 2008, 03:43 PM
Tags for this Thread

View Tag Cloud

Bookmarks
Bookmarks
Posting Permissions
  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •