{{위키데이터 속성 추적}}
{{Geodesy}}
[[파일:Long geodesic on an oblate ellipsoid.svg|섬네일|200px|[[납작한 타원체]] 위의 측지선]]

'''타원면<ref>대한수학회 수학용어 https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=ellipsoid</ref>에 대한 측지선<ref>대한수학회 수학용어 https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=geodesic</ref>'''(geodesics on an ellipsoid, 타원체에 대한 곧은 선들) 연구는 특히 [[삼각측량 네트워크]](triangulation network)의 솔루션과 관련하여 [[측지학]]과 관련하여 발생했다. [[지구의 모양]](figure of the Earth)은 약간 납작한 구인 [[편평 타원체]]로 잘 근사된다. [[측지선]]은 평면 표면의 [[직선]]과 유사한 곡면의 두 지점 사이의 가장 짧은 경로이다. 따라서 [[타원면]]에 대한 삼각 측량 네트워크의 솔루션은 구면 삼각법의 연습 문제 세트이다 {{harv|Euler|1755}}.

==회전 타원체 상의 측지선==
==삼축 타원체 상의 측지선==
==응용==

== 같이 보기 ==
* [[측지학]]
* [[측지선]]
* [[일반 상대성 이론의 지름길]]
* [[타원면]]
* [[삼각측량 (측량)]]

== 각주 ==
{{각주|30em}}

==참고 문헌==
{{참고 자료 시작|30em}}
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|year = 1989
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|author-link = Vladimir Arnold
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|ref = {{harvid|Bagratuni|1962}}
|reference =
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|year = 1967 |orig-year = 1962
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|title = Course in Spheroidal Geodesy
|doi = 10.5281/zenodo.32371
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|year = 2010
|last = Berger |first = M. |author-link = Marcel Berger
|title = Geometry Revealed
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|doi = 10.1007/978-3-540-70997-8
}}
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|ref = {{harvid|Bessel|1825}}
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|title = The calculation of longitude and latitude from geodesic measurements
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|translator-last1 = Karney |translator-first1 = C. F. F.
|translator-last2 = Deakin |translator-first2 = R. E.
|doi = 10.1002/asna.201011352
|arxiv = 0908.1824
|bibcode = 2010AN....331..852K
|s2cid = 118760590 }} English translation of [http://adsabs.harvard.edu/abs/1825AN......4..241B ''Astron. Nachr.'' '''4''', 241–254 (1825)]. [https://geographiclib.sourceforge.io/bessel-errata.html Errata].
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|year = 1916
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|publisher = Wellesley-Cambridge Press
|access-date = 2024-09-09
|archive-date = 2018-12-22
|archive-url = https://web.archive.org/web/20181222230447/http://old.gps.aau.dk/downloads/notes.pdf
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|volume = 11 |pages = 5–20
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|year = 1869
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}}
*{{서적 인용
|year = 1813
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|year = 1993
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|institution = [[:de:Deutsche Geodätische Kommission|Deutsche Geodätische Kommission]]
|series = Reihe B: Angewandte Geodäsie, Heft Nr. 292
|oclc = 257615376
}}
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|ref = {{harvid|Euler|1755}}
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|pages = 258–293
|volume = 9
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|year = 1849
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*{{서적 인용
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|year = 1811
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|year = 1837
|last = Jacobi |first = C. G. J. |author-link = Carl Gustav Jacob Jacobi
|title = Zur Theorie der Variations-Rechnung und der Differential-Gleichungen
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|volume = 1837 |issue = 17 |pages = 68–82
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|ref = {{harvid|Jacobi|1839}}
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|language = de
|trans-title = The geodesic on an ellipsoid and various applications of a remarkable analytical substitution
|journal = Journal für die Reine und Angewandte Mathematik
|volume = 1839 |issue = 19 |pages = 309–313
|doi = 10.1515/crll.1839.19.309
|s2cid = 121670851 |url = https://books.google.com/books?id=RbwGAAAAYAAJ&pg=PA309
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|trans-chapter = The envelope of geodesic lines emanating from a single point on an ellipsoid
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|year = 1799b
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|year = 1806
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|year = 1811
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|ref = {{harvid|Monge|1796}}
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|title = Application de l'Analyse à la Géometrie
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|url = https://archive.org/details/applicationdelan00mong/page/139
|editor = J. Liouville|editor-link = Joseph Liouville
|edition = 5th
|publisher = Bachelier |location = Paris
|oclc = 2829112
}} ([https://archive.org/details/applicationdelan00mong/page/640/mode/1up Fig. 1–2], [https://archive.org/details/applicationdelan00mong/page/648/mode/1up Fig. 3–4]). [https://archive.org/details/CHEPFL_LIPR_AXB36_1/page/149 1796 edition] ([https://archive.org/details/CHEPFL_LIPR_AXB36_1/page/n388/mode/1up Fig. 1–2], [https://archive.org/details/CHEPFL_LIPR_AXB36_1/page/n390/mode/1up Fig. 3–4]). [https://geographiclib.sourceforge.io/geodesic-papers/monge50-fig.pdf PDF Figures].
}}
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|ref = {{harvid|NGS|2012}} |year = 2012
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}}
*{{위키인용
|ref = {{harvid|Newton|1687}}
|reference =
{{서적 인용|ref = none
|year = 1848 |orig-year = 1687
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|title = The Mathematical Principles of Natural Philosophy
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|chapter =  Book 3, Proposition 19, Problem 3
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|chapter-url = https://archive.org/details/newtonsprincipia00newt_0/page/405/
}} English translation of ''[[Philosophiæ Naturalis Principia Mathematica]]''. [https://archive.org/details/philosophiaenat00newt/page/422/ Liber Tertius, Prop. XIX. Prob. II. pp. 422–424].
}}
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|year = 1806
|last = Oriani |first = B. |author-link = Barnaba Oriani
|title = Elementi di trigonometria sferoidica, Pt. 1
|language = it
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|year = 1808
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|title = Elementi di trigonometria sferoidica, Pt. 2
|language = it
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|journal = Memorie dell'Istituto Nazionale Italiano
|volume = 2 |number = 1 |pages = 1–58
|url = https://archive.org/details/memoriedellistit21isti/page/1/
}}
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|year = 1810
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|title = Elementi di trigonometria sferoidica, Pt. 3
|language = it
|trans-title = Elements of spheroidal trigonometry
|journal = Memorie dell'Istituto Nazionale Italiano
|volume = 2 |number = 2 |pages = 1–58
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}}
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|year = 1905
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|title = Sur les lignes géodésiques des surfaces convexes
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|trans-title = Geodesics lines on convex surfaces
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|volume = 6 |issue = 3 |pages = 237–274
|doi = 10.2307/1986219
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|year = 1991
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|year = 1993
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}}
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|ref = {{harvid|Vincenty|1975}}
|reference = 
{{저널 인용| ref = none
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}}
*{{저널 인용
|year = 1861
|last = Weierstrass |first = K. T. W. |author-link = Karl Weierstrass
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}}
{{참고 자료 끝}}

[[분류:측지학]]
[[분류:측지선 (수학)]]
[[분류:미분기하학]]
[[분류:변분법]]
[[분류:곡선]]