Parameterization Of A Cycloid

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I need to find the length of $x^2/3+y^2/3=1$ which is said to be a Cycloid.



There is an answer fo for it but how did they get to the parameterization?




calculus




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    up vote
    0
    down vote

    favorite












    I need to find the length of $x^2/3+y^2/3=1$ which is said to be a Cycloid.



    There is an answer fo for it but how did they get to the parameterization?




    calculus




    share|cite|improve this question





















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I need to find the length of $x^2/3+y^2/3=1$ which is said to be a Cycloid.



      There is an answer fo for it but how did they get to the parameterization?




      calculus




      share|cite|improve this question











      I need to find the length of $x^2/3+y^2/3=1$ which is said to be a Cycloid.



      There is an answer fo for it but how did they get to the parameterization?





      calculus





      share|cite|improve this question










      share|cite|improve this question




      share|cite|improve this question









      asked Jul 25 at 8:04









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          This is astroid, not cycloid that you are quoting. You can find all that you need in Wiki and elswhere, it's a well known curve.



          Astroid is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius.



          Cycloid is the curve traced by a point on a circle as it rolls along a straight line.






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            1 Answer
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            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            1
            down vote



            accepted










            This is astroid, not cycloid that you are quoting. You can find all that you need in Wiki and elswhere, it's a well known curve.



            Astroid is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius.



            Cycloid is the curve traced by a point on a circle as it rolls along a straight line.






            share|cite|improve this answer



























              up vote
              1
              down vote



              accepted










              This is astroid, not cycloid that you are quoting. You can find all that you need in Wiki and elswhere, it's a well known curve.



              Astroid is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius.



              Cycloid is the curve traced by a point on a circle as it rolls along a straight line.






              share|cite|improve this answer

























                up vote
                1
                down vote



                accepted







                up vote
                1
                down vote



                accepted






                This is astroid, not cycloid that you are quoting. You can find all that you need in Wiki and elswhere, it's a well known curve.



                Astroid is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius.



                Cycloid is the curve traced by a point on a circle as it rolls along a straight line.






                share|cite|improve this answer















                This is astroid, not cycloid that you are quoting. You can find all that you need in Wiki and elswhere, it's a well known curve.



                Astroid is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius.



                Cycloid is the curve traced by a point on a circle as it rolls along a straight line.







                share|cite|improve this answer















                share|cite|improve this answer



                share|cite|improve this answer








                edited Jul 25 at 8:18


























                answered Jul 25 at 8:09









                Oldboy

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