극좌표로 주어진 곡선

 

 

 

예

• 렘니스케이트(lemniscate) 곡선과 타원적분
  

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

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

 

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

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

 

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

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)

 

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

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

   

 

 

 

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