"극좌표로 주어진 곡선"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) |
Pythagoras0 (토론 | 기여) |
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| (같은 사용자의 중간 판 3개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
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==개요== | ==개요== | ||
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==예== | ==예== | ||
| − | * [[렘니스케이트(lemniscate) 곡선의 길이와 타원적분|렘니스케이트(lemniscate) 곡선과 타원적분]] | + | * [[렘니스케이트(lemniscate) 곡선의 길이와 타원적분|렘니스케이트(lemniscate) 곡선과 타원적분]] |
<math>r^2=\cos 2\theta</math> | <math>r^2=\cos 2\theta</math> | ||
| 25번째 줄: | 17번째 줄: | ||
[http://www.wolframalpha.com/input/?i=r%5E2%3Dcos+%282theta%29 http://www.wolframalpha.com/input/?i=r^2%3Dcos+(2theta)] | [http://www.wolframalpha.com/input/?i=r%5E2%3Dcos+%282theta%29 http://www.wolframalpha.com/input/?i=r^2%3Dcos+(2theta)] | ||
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<math>r=\cos \frac{\theta}{2}</math> | <math>r=\cos \frac{\theta}{2}</math> | ||
| 35번째 줄: | 27번째 줄: | ||
http://www.wolframalpha.com/input/?i=r%3Dcos+%28theta%2F2%29 | http://www.wolframalpha.com/input/?i=r%3Dcos+%28theta%2F2%29 | ||
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<math>r=\cos \frac{\theta}{3}</math> | <math>r=\cos \frac{\theta}{3}</math> | ||
| 41번째 줄: | 33번째 줄: | ||
[[파일:4176465-MSP74719784071iad69b2900005cid5ibigi61dg94.gif]] | [[파일:4176465-MSP74719784071iad69b2900005cid5ibigi61dg94.gif]] | ||
| − | + | [http://www.wolframalpha.com/input/?i=r%3Dcos+%28theta/3%29 http://www.wolframalpha.com/input/?i=r%3Dcos+(theta/3)] | |
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<math>r=1+2\cos\theta</math> | <math>r=1+2\cos\theta</math> | ||
| − | + | [[파일:4176465-MSP11271978443hf7aa7h2f00002bd5bh2db919dc1f.gif]] | |
| − | + | [http://www.wolframalpha.com/input/?i=r%3D1%2B2+cos+%28theta%29 http://www.wolframalpha.com/input/?i=r%3D1%2B2+cos+(theta)] | |
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<math>r=2+\sin 3\theta</math> | <math>r=2+\sin 3\theta</math> | ||
| 57번째 줄: | 49번째 줄: | ||
[http://www.wolframalpha.com/input/?i=r%3D2%2Bsin%283thetA%29 http://www.wolframalpha.com/input/?i=r%3D2%2Bsin(3thetA)] | [http://www.wolframalpha.com/input/?i=r%3D2%2Bsin%283thetA%29 http://www.wolframalpha.com/input/?i=r%3D2%2Bsin(3thetA)] | ||
| − | + | [[파일:4176465-MSP47019784919haafi5hc00002h164hgd33f4i46i.gif]] | |
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<math>r=1+2\sin 3\theta</math> | <math>r=1+2\sin 3\theta</math> | ||
| − | + | [http://www.wolframalpha.com/input/?i=r%3D1%2B2sin%283theta%29 http://www.wolframalpha.com/input/?i=r%3D1%2B2sin(3theta)] | |
[[파일:4176465-MSP6981978475e4574h83h00003a7ga0a9g5d06c13.gif]] | [[파일:4176465-MSP6981978475e4574h83h00003a7ga0a9g5d06c13.gif]] | ||
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==메모== | ==메모== | ||
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==관련된 항목들== | ==관련된 항목들== | ||
| 96번째 줄: | 76번째 줄: | ||
* [[심장형 곡선(cardioid)]] | * [[심장형 곡선(cardioid)]] | ||
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==매스매티카 파일 및 계산 리소스== | ==매스매티카 파일 및 계산 리소스== | ||
* https://docs.google.com/file/d/0B8XXo8Tve1cxSENUVktCZmJRaVU/edit?pli=1 | * https://docs.google.com/file/d/0B8XXo8Tve1cxSENUVktCZmJRaVU/edit?pli=1 | ||
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| − | + | [[분류:미적분학]] | |
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2020년 12월 28일 (월) 02:08 기준 최신판
개요
예
\(r^2=\cos 2\theta\)
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)
메모
관련된 항목들