"원근법과 수학"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) |
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| 1번째 줄: | 1번째 줄: | ||
| − | + | ==개요== | |
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* 사영기하학 | * 사영기하학 | ||
* 선형원근법(linear perspective) | * 선형원근법(linear perspective) | ||
| − | * 지평선 (horizon) | + | * 지평선 (horizon) |
| − | ** | + | ** 사영평면에서는 line at infinity 라 한다 |
* 눈높이 (eye-level) | * 눈높이 (eye-level) | ||
| − | * 소실점 (vanishing point) | + | * 소실점 (vanishing point) |
** 사영평면에서는 point at infinity라 한다 | ** 사영평면에서는 point at infinity라 한다 | ||
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| − | + | ==마스카니 테라스(Terrazza Mascagni)== | |
* 토스카나 리보르노 | * 토스카나 리보르노 | ||
* 평행선들은 소실점 (vanishing point)에서 만나며, 소실점이 지평선에 놓여 있음을 확인할 수 있다 | * 평행선들은 소실점 (vanishing point)에서 만나며, 소실점이 지평선에 놓여 있음을 확인할 수 있다 | ||
| − | * http://www.livornotop.com/servizi/foto/foto%20angelica/Livorno%20foto%20di%20Angelica.htm | + | * http://www.livornotop.com/servizi/foto/foto%20angelica/Livorno%20foto%20di%20Angelica.htm[[파일:4777527-parallel_(2).jpg]] |
* http://livornodailyphoto.blogspot.com/2009/11/tiles.html | * http://livornodailyphoto.blogspot.com/2009/11/tiles.html | ||
| − | [ | + | [[파일:4777527-0911150145.jpg]] |
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| − | + | ==1점 원근법== | |
* [[1점 원근법]] | * [[1점 원근법]] | ||
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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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| − | + | ==3점 원근법== | |
| − | + | * [[3점 원근법]] | |
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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 | ||
* 지오토(1267 - 1337) | * 지오토(1267 - 1337) | ||
| − | * 브루넬레스키(1377 - 1446) | + | * 브루넬레스키(1377 - 1446) |
| − | * 마사치오(1401 - 1428) | + | ** http://www.archious.com/contents/anc/2000/02/20000208098.htm |
| − | * 알베르티(1404 -1472) | + | * 도나텔로 |
| − | * | + | ** 원근법이 활용된 조각 Feast of Herod |
| − | * 피에로 델라 프란체스카(1415- 1492) | + | * 마사치오(1401 - 1428) |
| − | * 알브레히트 뒤러(1471 - 1528) | + | ** 원근법이 활용된 첫번째 회화작품 [http://en.wikipedia.org/wiki/Holy_Trinity_%28Masaccio%29 http://en.wikipedia.org/wiki/Holy_Trinity_(Masaccio)] |
| − | * 데자르그( | + | * 알베르티(1404 -1472) |
| − | * | + | ** 투시원근법에 대한 첫 교과서 출판 Della pittura (1435) |
| + | ** [[체커보드의 원근법]] | ||
| + | * 피에로 델라 프란체스카(1415- 1492) | ||
| + | ** 1474년 De Prospectiva Pingendi (On the perspective of painting) 출판 | ||
| + | ** [http://en.wikipedia.org/wiki/Flagellation_of_Christ_%28Piero_della_Francesca%29 Flagellation of Christ (Piero della Francesca)] | ||
| + | * 알브레히트 뒤러(1471 - 1528) | ||
| + | ** http://virtualterritory.wordpress.com/2008/10/02/a-page-out-of-durers-own-copy-of-the-painters-manual/ | ||
| + | ** [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/ | ||
| + | ** http://commons.wikimedia.org/wiki/File:D%C3%BCrer_-_Zeichner_und_Akt.jpg | ||
| + | ** http://virtualterritory.wordpress.com/2008/10/05/one-of-duerers-prints-in-the-context-of-gender-feminism-and-other-theories/ | ||
| + | * 데자르그(1591–1661) | ||
| + | * 파스칼(1623 –1662) | ||
| + | * 베르미어(1632-1675) | ||
| + | ** 카메라 옵스큐라의 사용 | ||
| + | ** [http://www.flickr.com/photos/arisan/4002462708/ ]http://www.flickr.com/photos/arisan/4002462708/ | ||
| + | * Gaspard Monge (1746-1818) | ||
| + | * 퐁슬레(1788-1867) | ||
| + | ** 1822년 Traite des proprietes ... | ||
| + | * 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 | ||
| − | * [[ | + | * [[수학사 연표]] |
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| − | + | ==메모== | |
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* 소실점의 종류 http://labica.springnote.com/pages/5317735 | * 소실점의 종류 http://labica.springnote.com/pages/5317735 | ||
| − | * [http://www.khulsey.com/perspective_basics.html Basic Principles Of Perspective Drawing For The Technical Illustrator] | + | * [http://www.khulsey.com/perspective_basics.html Basic Principles Of Perspective Drawing For The Technical Illustrator] |
** Kevin Hulsey | ** Kevin Hulsey | ||
| − | * [http://www.cs.berkeley.edu/%7Ebarsky/perspective.html A Note on the Mathematics of Two- and Three- Point Perspective] | + | * [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 | ||
| − | * 도구 | + | * total internal reflection http://wordpress.mrreid.org/2012/09/11/my-favourite-photograph-from-the-2012-olympics/ |
| + | * 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/ | ||
| − | ** http://jimleggitt.typepad.com/jim-leggitt-drawing-shortcuts/2010/02/creating-perspectives-with-sketchup. | + | ** http://jimleggitt.typepad.com/jim-leggitt-drawing-shortcuts/2010/02/creating-perspectives-with-sketchup.html |
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| − | + | ==관련된 항목들== | |
* [[수학과 미술]] | * [[수학과 미술]] | ||
* [[타원과 인간]] | * [[타원과 인간]] | ||
| − | * [[수학과 지도학 | + | * [[수학과 지도학]] |
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| + | ==수학용어번역== | ||
* point at infinity 무한원점 | * point at infinity 무한원점 | ||
| − | * | + | * {{수학용어집|url=point+at+infinity}} |
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| − | + | ==사전 형태의 자료== | |
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* [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] | ||
| − | * [http:// | + | * [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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| − | + | ==관련논문== | |
| − | * [http://www.jstor.org/stable/3051003 Alberti's Perspective: A Mathematical Comment] | + | * [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 |
| − | + | * [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 | |
| − | * [http://www.sumscorp.com/img/file/1980_Ptolemy_and_the_Origins_of_Linear_Perspective.pdf Ptolemy and the Origins of Linear Perspective] | + | * [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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| − | * [http://www.ingentaconnect.com/content/maney/its/1964/00000019/00000001/art00002 L. B. ALBERTI'S ‘COSTRUZIONE LEGITTIMA’] | ||
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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] | ||
| − | * [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] | + | * [http://www.amazon.com/Piero-della-Francesca-Mathematicians-Art/dp/0300103425 Piero Della Francesca: a mathematician's art] |
| − | * | + | * [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 |
| − | * Foundations of Projective Geometry | + | * [http://www.amazon.com/Science-Art-Optical-Western-Brunelleschi/dp/0300052413 The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat] |
| + | * Foundations of Projective Geometry | ||
** Robin Hartshorne | ** Robin Hartshorne | ||
| − | * The Renaissance rediscovery of linear perspective | + | * The Renaissance rediscovery of linear perspective |
** Edgerton, Samuel Y. Basic Books, c1975. | ** Edgerton, Samuel Y. Basic Books, c1975. | ||
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| − | + | ==관련링크와 웹페이지== | |
| + | * [http://www.math.utah.edu/%7Etreiberg/Perspect/Perspect.htm The Geometry of Perspective Drawing on the Computer] | ||
| + | * [http://www.math.nus.edu.sg/aslaksen/projects/perspective/theory.htm The History and Theory of Perspective] | ||
| + | * [http://www.ams.org/samplings/feature-column/fcarc-alberti1 Alberti's Perspective Construction] | ||
| + | ** AMS Feature Column | ||
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| − | + | ==관련기사== | |
| − | + | * [http://www.chosun.com/site/data/html_dir/2009/09/22/2009092201714.html [김영나의 서양미술산책] [21] 원근법] 김영나, 조선, 2009-9-22 | |
| − | + | * [http://article.joins.com/article/article.asp?ctg=12&Total_ID=216665 [생활속의 수학] 원근법 이론무장은 `사영기하학` 덕] 박경미, 중앙일보, 2003-8-20 | |
| − | + | * 네이버 뉴스 검색 | |
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| − | * [http://www.chosun.com/site/data/html_dir/2009/09/22/2009092201714.html [김영나의 서양미술산책] [21] 원근법] | ||
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| − | * [http://article.joins.com/article/article.asp?ctg=12&Total_ID=216665 [생활속의 수학] 원근법 이론무장은 `사영기하학` 덕] | ||
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| − | * 네이버 뉴스 검색 | ||
** [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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| − | + | ==블로그== | |
| + | * [http://bomber0.byus.net/index.php/2007/11/19/471 뇌는 대수기하를 몰라도 눈은 대수기하를 안다 – 원근법] | ||
| + | [[분류:교양수학]] | ||
| − | + | ==메타데이터== | |
| − | + | ===위키데이터=== | |
| − | * [ | + | * ID : [https://www.wikidata.org/wiki/Q977200 Q977200] |
| − | * [ | + | ===Spacy 패턴 목록=== |
| − | * [ | + | * [{'LOWER': 'holy'}, {'LEMMA': 'Trinity'}] |
| − | + | * [{'LOWER': 'the'}, {'LOWER': 'holy'}, {'LEMMA': 'Trinity'}] | |
2021년 2월 17일 (수) 04:55 기준 최신판
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)
- 토스카나 리보르노
- 평행선들은 소실점 (vanishing point)에서 만나며, 소실점이 지평선에 놓여 있음을 확인할 수 있다
- http://www.livornotop.com/servizi/foto/foto%20angelica/Livorno%20foto%20di%20Angelica.htm
- http://livornodailyphoto.blogspot.com/2009/11/tiles.html
.jpg)
1점 원근법
2점 원근법
3점 원근법
역사
- http://www.dartmouth.edu/~matc/math5.geometry/unit11/unit11.html
- http://www.tfaoi.com/aa/3aa/3aa127.htm
- 지오토(1267 - 1337)
- 브루넬레스키(1377 - 1446)
- 도나텔로
- 원근법이 활용된 조각 Feast of Herod
- 마사치오(1401 - 1428)
- 원근법이 활용된 첫번째 회화작품 http://en.wikipedia.org/wiki/Holy_Trinity_(Masaccio)
- 알베르티(1404 -1472)
- 투시원근법에 대한 첫 교과서 출판 Della pittura (1435)
- 체커보드의 원근법
- 피에로 델라 프란체스카(1415- 1492)
- 1474년 De Prospectiva Pingendi (On the perspective of painting) 출판
- Flagellation of Christ (Piero della Francesca)
- 알브레히트 뒤러(1471 - 1528)
- http://virtualterritory.wordpress.com/2008/10/02/a-page-out-of-durers-own-copy-of-the-painters-manual/
- [1]http://architecturalphotogrammetry.wordpress.com/2010/03/03/understanding-photogrammetry-thanks-to-albrecht-durer/
- http://commons.wikimedia.org/wiki/File:D%C3%BCrer_-_Zeichner_und_Akt.jpg
- http://virtualterritory.wordpress.com/2008/10/05/one-of-duerers-prints-in-the-context-of-gender-feminism-and-other-theories/
- 데자르그(1591–1661)
- 파스칼(1623 –1662)
- 베르미어(1632-1675)
- 카메라 옵스큐라의 사용
- [2]http://www.flickr.com/photos/arisan/4002462708/
- Gaspard Monge (1746-1818)
- 퐁슬레(1788-1867)
- 1822년 Traite des proprietes ...
- 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=projective+geometry+perspective+drawing
- http://www.google.com/search?hl=en&tbs=tl:1&q=costruzione+legittima
- 수학사 연표
메모
- 소실점의 종류 http://labica.springnote.com/pages/5317735
- Basic Principles Of Perspective Drawing For The Technical Illustrator
- Kevin Hulsey
- A Note on the Mathematics of Two- and Three- Point Perspective
- Brian A. Barsky
- total internal reflection http://wordpress.mrreid.org/2012/09/11/my-favourite-photograph-from-the-2012-olympics/
- 도구
관련된 항목들
수학용어번역
- point at infinity 무한원점
- point+at+infinity - 대한수학회 수학용어집
사전 형태의 자료
- http://ko.wikipedia.org/wiki/원근법
- 소실점 (두산백과)
- http://newdle.edupia.com/xmlView.aspx?xmldid=22116#p2
- http://en.wikipedia.org/wiki/Perspective_(graphical)
- http://en.wikipedia.org/wiki/Vanishing_point
- http://en.wikipedia.org/wiki/Worm%27s-eye_view
관련논문
- Alberti's Perspective: A Mathematical CommentJudy Green and Paul S. Green, The Art Bulletin, Vol. 69, No. 4 (Dec., 1987), pp. 641-645
- Ptolemy and the Origins of Linear PerspectiveKim H. Veltman, 1980
- L. B. ALBERTI'S ‘COSTRUZIONE LEGITTIMA’Grayson, C., Italian Studies, Volume 19, 1964 , pp. 14-27(14)
관련도서
- Perspective Drawing Handbook
- Piero Della Francesca: a mathematician's art
- The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to MongeKirsti Andersen
- The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat
- Foundations of Projective Geometry
- Robin Hartshorne
- The Renaissance rediscovery of linear perspective
- Edgerton, Samuel Y. Basic Books, c1975.
관련링크와 웹페이지
- The Geometry of Perspective Drawing on the Computer
- The History and Theory of Perspective
- Alberti's Perspective Construction
- AMS Feature Column
관련기사
- [김영나의 서양미술산책 [21] 원근법] 김영나, 조선, 2009-9-22
- [생활속의 수학 원근법 이론무장은 `사영기하학` 덕] 박경미, 중앙일보, 2003-8-20
- 네이버 뉴스 검색
- 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=소실점
- 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=알베르티원근법
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