"원근법과 수학"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
(사용자 2명의 중간 판 44개는 보이지 않습니다)
1번째 줄: 1번째 줄:
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">이 항목의 스프링노트 원문주소</h5>
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==개요==
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">개요</h5>
 
  
 
* 사영기하학
 
* 사영기하학
 
* 선형원근법(linear perspective)
 
* 선형원근법(linear perspective)
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*  지평선 (horizon) <br>
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*  지평선 (horizon)  
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** 사영평면에서는 line at infinity 라 한다
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** 사영평면에서는 line at infinity 라 한다
 
* 눈높이 (eye-level)
 
* 눈높이 (eye-level)
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*  소실점 (vanishing point)<br>
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*  소실점 (vanishing point)
 
** 사영평면에서는 point at infinity라 한다
 
** 사영평면에서는 point at infinity라 한다
  
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==마스카니 테라스(Terrazza Mascagni)==
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* 토스카나 리보르노
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* 평행선들은 소실점 (vanishing point)에서 만나며, 소실점이 지평선에 놓여 있음을 확인할 수 있다
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* http://www.livornotop.com/servizi/foto/foto%20angelica/Livorno%20foto%20di%20Angelica.htm[[파일:4777527-parallel_(2).jpg]]
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* http://livornodailyphoto.blogspot.com/2009/11/tiles.html
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[[파일:4777527-0911150145.jpg]]
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<h5>1점 원근법</h5>
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==1점 원근법==
  
 
* [[1점 원근법]]
 
* [[1점 원근법]]
  
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<h5>2점 원근법</h5>
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==2점 원근법==
  
 
* [http://www.khulsey.com/perspective_2pt.html 2 Point Perspective Tutorial - Mechanical Drawing Perspective Grid]
 
* [http://www.khulsey.com/perspective_2pt.html 2 Point Perspective Tutorial - Mechanical Drawing Perspective Grid]
 
* [[2점 원근법]]
 
* [[2점 원근법]]
  
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<h5>3점 원근법</h5>
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==3점 원근법==
  
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* [[3점 원근법]]
  
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<h5>역사</h5>
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==역사==
  
 
* [http://www.dartmouth.edu/%7Ematc/math5.geometry/unit11/unit11.html http://www.dartmouth.edu/~matc/math5.geometry/unit11/unit11.html]
 
* [http://www.dartmouth.edu/%7Ematc/math5.geometry/unit11/unit11.html http://www.dartmouth.edu/~matc/math5.geometry/unit11/unit11.html]
 
* http://www.tfaoi.com/aa/3aa/3aa127.htm
 
* http://www.tfaoi.com/aa/3aa/3aa127.htm
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* 지오토
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* 지오토(1267 - 1337)
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* 브루넬레스키
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* 브루넬레스키(1377 - 1446)
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* 알베르티 published the first text on linear perspective
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** http://www.archious.com/contents/anc/2000/02/20000208098.htm
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* costruzione legittima
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*  도나텔로
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* 마사치오
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** 원근법이 활용된 조각 Feast of Herod
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* 뒤러
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* 마사치오(1401 - 1428)
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* 피에로 델라 프란체스카
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** 원근법이 활용된 첫번째 회화작품 [http://en.wikipedia.org/wiki/Holy_Trinity_%28Masaccio%29 http://en.wikipedia.org/wiki/Holy_Trinity_(Masaccio)]
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* 데자르그
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*  알베르티(1404 -1472)
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* 파스칼
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** 투시원근법에 대한 첫 교과서 출판 Della pittura (1435)
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** [[체커보드의 원근법]]
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* 피에로 델라 프란체스카(1415- 1492)
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** 1474년 De Prospectiva Pingendi (On the perspective of painting) 출판
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** [http://en.wikipedia.org/wiki/Flagellation_of_Christ_%28Piero_della_Francesca%29 Flagellation of Christ (Piero della Francesca)]
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*  알브레히트 뒤러(1471 - 1528)
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** http://virtualterritory.wordpress.com/2008/10/02/a-page-out-of-durers-own-copy-of-the-painters-manual/
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** [http://architecturalphotogrammetry.wordpress.com/2010/03/03/understanding-photogrammetry-thanks-to-albrecht-durer/ ]http://architecturalphotogrammetry.wordpress.com/2010/03/03/understanding-photogrammetry-thanks-to-albrecht-durer/
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** http://commons.wikimedia.org/wiki/File:D%C3%BCrer_-_Zeichner_und_Akt.jpg
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** http://virtualterritory.wordpress.com/2008/10/05/one-of-duerers-prints-in-the-context-of-gender-feminism-and-other-theories/
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* 데자르그(1591–1661)
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* 파스칼(1623 –1662)
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*  베르미어(1632-1675)
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** 카메라 옵스큐라의 사용
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** [http://www.flickr.com/photos/arisan/4002462708/ ]http://www.flickr.com/photos/arisan/4002462708/
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* Gaspard Monge (1746-1818)
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*  퐁슬레(1788-1867)
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** 1822년 Traite des proprietes ...
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* Karl Georg Christian von Staudt(1798-1867)
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=linear+perspective
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=linear+perspective
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=projective+geometry+perspective+drawing
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=projective+geometry+perspective+drawing
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=costruzione+legittima
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=costruzione+legittima
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* [[수학사연표 (역사)|수학사연표]]
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* [[수학사 연표]]
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==메모==
  
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<h5>메모</h5>
 
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* http://bomber0.byus.net/index.php/2007/11/19/471
 
 
* 소실점의 종류 http://labica.springnote.com/pages/5317735
 
* 소실점의 종류 http://labica.springnote.com/pages/5317735
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* [http://www.khulsey.com/perspective_basics.html Basic Principles Of Perspective Drawing For The Technical Illustrator]<br>
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* [http://www.khulsey.com/perspective_basics.html Basic Principles Of Perspective Drawing For The Technical Illustrator]
 
** Kevin Hulsey
 
** Kevin Hulsey
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* [http://www.cs.berkeley.edu/%7Ebarsky/perspective.html A Note on the Mathematics of Two- and Three- Point Perspective]<br>
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* [http://www.cs.berkeley.edu/%7Ebarsky/perspective.html A Note on the Mathematics of Two- and Three- Point Perspective]
 
** Brian A. Barsky
 
** Brian A. Barsky
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*  도구<br>
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* total internal reflection http://wordpress.mrreid.org/2012/09/11/my-favourite-photograph-from-the-2012-olympics/
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*  도구
 
** http://sketchup.google.com/
 
** http://sketchup.google.com/
 
** http://www.sketchupartists.org/tutorials/perspective-drawing-from-sketchup/
 
** http://www.sketchupartists.org/tutorials/perspective-drawing-from-sketchup/
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** http://jimleggitt.typepad.com/jim-leggitt-drawing-shortcuts/2010/02/creating-perspectives-with-sketchup.html <br>
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** http://jimleggitt.typepad.com/jim-leggitt-drawing-shortcuts/2010/02/creating-perspectives-with-sketchup.html
  
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<h5>관련된 항목들</h5>
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==관련된 항목들==
  
 
* [[수학과 미술]]
 
* [[수학과 미술]]
 
* [[타원과 인간]]
 
* [[타원과 인간]]
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* [[수학과 지도학]]
  
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">수학용어번역</h5>
 
  
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==수학용어번역==
 
* point at infinity 무한원점
 
* point at infinity 무한원점
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* [http://www.google.com/dictionary?langpair=en%7Cko&q=%EB%AC%B4%ED%95%9C%EC%9B%90%EC%A0%90 http://www.google.com/dictionary?langpair=en|ko&q=무한원점]
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* {{수학용어집|url=point+at+infinity}}
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* [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br>
 
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** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=infinity
 
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* [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 대한수학회 수학용어한글화 게시판]
 
  
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==사전 형태의 자료==
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<h5>사전 형태의 자료</h5>
 
  
 
* [http://ko.wikipedia.org/wiki/%EC%9B%90%EA%B7%BC%EB%B2%95 http://ko.wikipedia.org/wiki/원근법]
 
* [http://ko.wikipedia.org/wiki/%EC%9B%90%EA%B7%BC%EB%B2%95 http://ko.wikipedia.org/wiki/원근법]
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* [http://www.encyber.com/search_w/ctdetail.php?masterno=741414&contentno=741414 소실점] (엔싸이버 백과검색)
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* [http://100.naver.com/100.nhn?docid=741414 소실점] (두산백과)
 
* http://newdle.edupia.com/xmlView.aspx?xmldid=22116#p2
 
* http://newdle.edupia.com/xmlView.aspx?xmldid=22116#p2
 
* [http://en.wikipedia.org/wiki/Perspective_%28graphical%29 http://en.wikipedia.org/wiki/Perspective_(graphical)]
 
* [http://en.wikipedia.org/wiki/Perspective_%28graphical%29 http://en.wikipedia.org/wiki/Perspective_(graphical)]
 
* http://en.wikipedia.org/wiki/Vanishing_point
 
* http://en.wikipedia.org/wiki/Vanishing_point
 
* http://en.wikipedia.org/wiki/Worm%27s-eye_view
 
* http://en.wikipedia.org/wiki/Worm%27s-eye_view
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* http://en.wikipedia.org/wiki/
 
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* http://www.wolframalpha.com/input/?i=
 
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* [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions]
 
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br>
 
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** http://www.research.att.com/~njas/sequences/?q=
 
  
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<h5>관련논문</h5>
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==관련논문==
  
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* [http://www.jstor.org/stable/3051003 Alberti's Perspective: A Mathematical Comment]<br>
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* [http://www.jstor.org/stable/3051003 Alberti's Perspective: A Mathematical Comment]Judy Green and Paul S. Green, The Art Bulletin, Vol. 69, No. 4 (Dec., 1987), pp. 641-645
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** Judy Green and Paul S. Green, The Art Bulletin, Vol. 69, No. 4 (Dec., 1987), pp. 641-645
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* [http://www.sumscorp.com/img/file/1980_Ptolemy_and_the_Origins_of_Linear_Perspective.pdf Ptolemy and the Origins of Linear Perspective]Kim H. Veltman, 1980
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* [http://www.ingentaconnect.com/content/maney/its/1964/00000019/00000001/art00002 L. B. ALBERTI'S ‘COSTRUZIONE LEGITTIMA’]<br>
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* [http://www.ingentaconnect.com/content/maney/its/1964/00000019/00000001/art00002 L. B. ALBERTI'S ‘COSTRUZIONE LEGITTIMA’]Grayson, C., Italian Studies, Volume 19, 1964 , pp. 14-27(14)
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** Grayson, C., Italian Studies, Volume 19, 1964 , pp. 14-27(14)
 
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* [http://www.jstor.org/action/doBasicSearch?Query=perspective+drawing+projective http://www.jstororg/action/doBasicSearch?Query=perspective+drawing+projective]
 
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* http://www.jstor.org/action/doBasicSearch?Query=
 
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* http://dx.doi.org/
 
  
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<h5>관련도서</h5>
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==관련도서==
  
 
* [http://books.google.com/books?id=Am7FPeFo1ycC Perspective Drawing Handbook]
 
* [http://books.google.com/books?id=Am7FPeFo1ycC Perspective Drawing Handbook]
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* [http://books.google.com/books?id=8B_JeMxNUIkC The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to Monge]<br>
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* [http://www.amazon.com/Piero-della-Francesca-Mathematicians-Art/dp/0300103425 Piero Della Francesca: a mathematician's art]
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** Kirsti Andersen
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* [http://books.google.com/books?id=8B_JeMxNUIkC The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to Monge]Kirsti Andersen
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*  Foundations of Projective Geometry<br>
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* [http://www.amazon.com/Science-Art-Optical-Western-Brunelleschi/dp/0300052413 The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat]
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*  Foundations of Projective Geometry
 
** Robin Hartshorne
 
** Robin Hartshorne
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*  도서내검색<br>
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*  The Renaissance rediscovery of linear perspective
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** http://books.google.com/books?q=
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** Edgerton, Samuel Y. Basic Books, c1975.
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** http://book.daum.net/search/contentSearch.do?query=
 
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*  도서검색<br>
 
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** http://books.google.com/books?q=
 
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** http://book.daum.net/search/mainSearch.do?query=
 
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** http://book.daum.net/search/mainSearch.do?query=
 
  
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==관련링크와 웹페이지==
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* [http://www.math.utah.edu/%7Etreiberg/Perspect/Perspect.htm The Geometry of Perspective Drawing on the Computer]
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* [http://www.math.nus.edu.sg/aslaksen/projects/perspective/theory.htm The History and Theory of Perspective]
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* [http://www.ams.org/samplings/feature-column/fcarc-alberti1 Alberti's Perspective Construction]
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** AMS Feature Column
  
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<h5 style="margin: 0px; line-height: 2em;">관련링크와 웹페이지</h5>
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* [http://www.math.utah.edu/%7Etreiberg/Perspect/Perspect.htm The Geometry of Perspective Drawing on the Computer]<br>
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==관련기사==
  
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* [http://www.chosun.com/site/data/html_dir/2009/09/22/2009092201714.html [김영나의 서양미술산책] [21] 원근법] 김영나, 조선, 2009-9-22
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* [http://article.joins.com/article/article.asp?ctg=12&Total_ID=216665 [생활속의 수학] 원근법 이론무장은 `사영기하학` 덕] 박경미, 중앙일보, 2003-8-20
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*  네이버 뉴스 검색
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<h5>관련기사</h5>
 
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* [http://www.chosun.com/site/data/html_dir/2009/09/22/2009092201714.html [김영나의 서양미술산책] [21] 원근법]<br>
 
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** 김영나, 원근법, 2009-9-22
 
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* [http://article.joins.com/article/article.asp?ctg=12&Total_ID=216665 [생활속의 수학] 원근법 이론무장은 `사영기하학` 덕]<br>
 
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** 박경미, 중앙일보, 2003-8-20
 
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*  네이버 뉴스 검색 (키워드 수정)<br>
 
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EC%88%98%ED%95%99%EC%9B%90%EA%B7%BC%EB%B2%95 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=수학원근법]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EC%88%98%ED%95%99%EC%9B%90%EA%B7%BC%EB%B2%95 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=수학원근법]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EC%86%8C%EC%8B%A4%EC%A0%90 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=소실점]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EC%86%8C%EC%8B%A4%EC%A0%90 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=소실점]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EB%AF%B8%EC%88%A0%EC%82%AC%EC%98%81%EA%B8%B0%ED%95%98%ED%95%99 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=미술사영기하학]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EB%AF%B8%EC%88%A0%EC%82%AC%EC%98%81%EA%B8%B0%ED%95%98%ED%95%99 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=미술사영기하학]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EC%95%8C%EB%B2%A0%EB%A5%B4%ED%8B%B0%EC%9B%90%EA%B7%BC%EB%B2%95 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=알베르티원근법]
 
** [http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=%EC%95%8C%EB%B2%A0%EB%A5%B4%ED%8B%B0%EC%9B%90%EA%B7%BC%EB%B2%95 http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=알베르티원근법]
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** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
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** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
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** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
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** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
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<h5>블로그</h5>
 
  
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*  구글 블로그 검색<br>
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==블로그==
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** http://blogsearch.google.com/blogsearch?q=
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* [http://bomber0.byus.net/index.php/2007/11/19/471 뇌는 대수기하를 몰라도 눈은 대수기하를 안다 – 원근법]
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* [http://navercast.naver.com/science/list 네이버 오늘의과학]
+
[[분류:교양수학]]
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* [http://math.dongascience.com/ 수학동아]
 
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* [http://www.ams.org/mathmoments/ Mathematical Moments from the AMS]
 
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* [http://betterexplained.com/ BetterExplained]
 

2014년 6월 16일 (월) 05:10 판

개요

  • 사영기하학
  • 선형원근법(linear perspective)
  • 지평선 (horizon)
    • 사영평면에서는 line at infinity 라 한다
  • 눈높이 (eye-level)
  • 소실점 (vanishing point)
    • 사영평면에서는 point at infinity라 한다



마스카니 테라스(Terrazza Mascagni)

4777527-0911150145.jpg




1점 원근법



2점 원근법



3점 원근법



역사


메모



관련된 항목들



수학용어번역


사전 형태의 자료



관련논문



관련도서



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