극좌표로 주어진 곡선

이 항목의 스프링노트 원문주소

• 극좌표로 주어진 곡선

 

 

 

 

 

예

• 렘니스케이트(lemniscate) 곡선과 타원적분
  

\(r^2=\cos 2\theta\)

[/pages/4176465/attachments/2110541 MSP71919784049c09bb98700001095e8fadhf5gc4d.gif]

http://www.wolframalpha.com/input/?i=r^2%3Dcos+(2theta)

 

 

 

\(r=\cos \frac{\theta}{2}\)

http://www.wolframalpha.com/input/?i=r%3Dcos+%28theta%2F2%29

 

\(r=\cos \frac{\theta}{3}\)

[/pages/4176465/attachments/2110527 MSP74719784071iad69b2900005cid5ibigi61dg94.gif]

 http://www.wolframalpha.com/input/?i=r%3Dcos+(theta/3)

 

\(r=1+2\cos\theta\)

  [/pages/4176465/attachments/2110537 MSP11271978443hf7aa7h2f00002bd5bh2db919dc1f.gif]

 http://www.wolframalpha.com/input/?i=r%3D1%2B2+cos+(theta)

 

\(r=2+\sin 3\theta\)

http://www.wolframalpha.com/input/?i=r%3D2%2Bsin(3thetA)

 [/pages/4176465/attachments/2110539 MSP47019784919haafi5hc00002h164hgd33f4i46i.gif]

 

\(r=1+2\sin 3\theta\)

 http://www.wolframalpha.com/input/?i=r%3D1%2B2sin(3theta)

[/pages/4176465/attachments/2110535 MSP6981978475e4574h83h00003a7ga0a9g5d06c13.gif]

 

 

역사

 

• http://www.google.com/search?hl=en&tbs=tl:1&q=
• Earliest Known Uses of Some of the Words of Mathematics
• Earliest Uses of Various Mathematical Symbols
• 수학사연표

 

 

 

 

관련된 항목들

• 울프람알파의 활용
• 렘니스케이트(lemniscate) 곡선과 타원적분
• 심장형 곡선(cardioid)

 

 

매스매티카 파일 및 계산 리소스

• https://docs.google.com/file/d/0B8XXo8Tve1cxSENUVktCZmJRaVU/edit?pli=1
• http://www.wolframalpha.com/input/?i=
• http://functions.wolfram.com/
• NIST Digital Library of Mathematical Functions
• Abramowitz and Stegun Handbook of mathematical functions
• The On-Line Encyclopedia of Integer Sequences
• Numbers, constants and computation
• 매스매티카 파일 목록