"정다각형"의 두 판 사이의 차이

수학노트
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잔글 (찾아 바꾸기 – “수학사연표” 문자열을 “수학사 연표” 문자열로)
 
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1번째 줄: 1번째 줄:
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==이 항목의 스프링노트 원문주소==
 
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* [[정다각형]]
 
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==개요==
 
==개요==
  
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==예==
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* [[정오각형]]
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* [[정칠각형]]
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==정다각형의 대각선의 길이==
 
==정다각형의 대각선의 길이==
17번째 줄: 11번째 줄:
 
* [[정다각형의 대각선의 길이]]
 
* [[정다각형의 대각선의 길이]]
  
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==재미있는 사실==
 
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* Math Overflow http://mathoverflow.net/search?q=
 
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* 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
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==역사==
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
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* [http://jeff560.tripod.com/mathword.html Earliest Known Uses of Some of the Words of Mathematics]
 
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* [http://jeff560.tripod.com/mathsym.html Earliest Uses of Various Mathematical Symbols]
 
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* [[수학사 연표]]
 
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==메모==
 
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==관련된 항목들==
 
==관련된 항목들==
  
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* [[정오각형]]
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* [[정다각형의 삼각형 분할]]
 
* [[정다각형의 작도]]
 
* [[정다각형의 작도]]
 
* [[가우스와 정17각형의 작도]]
 
* [[가우스와 정17각형의 작도]]
 
* [[삼각함수]]
 
* [[삼각함수]]
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* [[다이로그 항등식 (dilogarithm identities)]]
 
  
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==수학용어번역==
 
  
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* 단어사전 http://www.google.com/dictionary?langpair=en|ko&q=
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[[분류:중학수학]]
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* 발음사전 http://www.forvo.com/search/
 
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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=
 
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* [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교]
 
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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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* http://ko.wikipedia.org/wiki/
 
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* http://planetmath.org/encyclopedia/ExampleOfTelescopingSum.html
 
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* http://en.wikipedia.org/wiki/
 
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* http://www.proofwiki.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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== 노트 ==
  
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q714886 Q714886]
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===말뭉치===
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# See Sides of a Regular Polygon for more information and formulas used to calculate their length.<ref name="ref_d1479884">[https://www.mathopenref.com/polygonregular.html math word definition]</ref>
 +
# In a regular polygon all its vertices lie on a circle.<ref name="ref_d1479884" />
 +
# In fact, this can be one of the definitions of a regular polygon: "All sides are the same length and all vertices lie on a circle".<ref name="ref_d1479884" />
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# Furthermore, if the shape is a regular polygon (all angles and length of sides are equal) then you can simply divide the sum of the internal angles by the number of sides to find each internal angle.<ref name="ref_b3d18ddd">[https://www.skillsyouneed.com/num/polygons.html Properties of Polygons]</ref>
 +
# If your shape is a regular polygon (such as a square in the example above) then it is only necessary to measure one side as, by definition, the other sides of a regular polygon are the same length.<ref name="ref_b3d18ddd" />
 +
# You can also work out the area of any regular polygon using trigonometry, but that’s rather more complicated.<ref name="ref_b3d18ddd" />
 +
# Every regular polygon with n sides is formed by n isosceles triangles.<ref name="ref_7a4568e7">[https://www.omnicalculator.com/math/regular-polygon Regular Polygon. Calculator]</ref>
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# Use this calculator to calculate properties of a regular polygon.<ref name="ref_2b38de48">[https://www.calculatorsoup.com/calculators/geometry-plane/polygon.php Regular Polygon Calculator]</ref>
 +
# Well, since we break a regular polygon into smaller triangles, we notice that the side of the polygon is the base of the triangle, and the apothem is the height of the triangle.<ref name="ref_47bc0ef7">[https://calcworkshop.com/polygons-circles/area-regular-polygon/ Area of a Regular Polygon 17 Step-by-Step Examples!]</ref>
 +
# To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter.<ref name="ref_47bc0ef7" />
 +
# How to find the central angle of a regular polygon.<ref name="ref_47bc0ef7" />
 +
# Understand how to solve for the radius, side length or apothem for any regular polygon.<ref name="ref_47bc0ef7" />
 +
# We study two different objects attached to an arbitrary quadrangulation of a regular polygon .<ref name="ref_110d6656">[https://www.thefreedictionary.com/regular+polygon regular polygon]</ref>
 +
# Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.<ref name="ref_61800ce6">[https://en.wikipedia.org/wiki/Regular_polygon Regular polygon]</ref>
 +
# regular polygon is denoted by its Schläfli symbol {n}.<ref name="ref_61800ce6" />
 +
# To be a regular polygon, the flat, closed, straight-sided shape must also have another property.<ref name="ref_5a896ffa">[https://tutors.com/math-tutors/geometry-help/what-is-a-regular-polygon-definition Regular Polygons (Video) Definition, Examples & Properties]</ref>
 +
# You may have three of the features (two dimensions; straight sides; an interior and exterior) but still not have a regular polygon.<ref name="ref_5a896ffa" />
 +
# Only when all six conditions, outlined above, are present will you have a regular polygon.<ref name="ref_5a896ffa" />
 +
# Results of our scrutiny using the six identifying properties of regular polygons: △ C A T is a regular polygon, the simplest kind.<ref name="ref_5a896ffa" />
 +
# The applets below illustrate what it means for any polygon to be classified as a regular polygon.<ref name="ref_5e13a15a">[https://www.geogebra.org/m/gauaqaq3 Regular Polygon Definition]</ref>
 +
# A regular polygon, remember, is a polygon whose sides and interior angles are all congruent.<ref name="ref_4b2ab121">[https://www.sparknotes.com/math/geometry2/measurements/section6/ Geometry: Measurements: Area of Regular Polygons]</ref>
 +
# A central angle of a regular polygon is an angle whose vertex is the center and whose rays, or sides, contain the endpoints of a side of the regular polygon.<ref name="ref_4b2ab121" />
 +
# Thus, an n-sided regular polygon has n apothems and n central angles, each of whose measure is 360/n degrees.<ref name="ref_4b2ab121" />
 +
# Once you have mastered these new definitions, the formula for the area of a regular polygon is an easy one.<ref name="ref_4b2ab121" />
 +
# A simple regular polygon is a convex figure in which the sides form a boundary around a single enclosed space, and no internal angle exceeds one hundred and eighty degrees.<ref name="ref_333bad16">[http://www.technologyuk.net/mathematics/geometry/regular-polygons.shtml Regular Polygons]</ref>
 +
# A complex regular polygon will be configured as a star, and the sides will intersect one another at various points.<ref name="ref_333bad16" />
 +
# regular polygon has, the smaller the external angle at each vertex will be, because the internal angle will be larger.<ref name="ref_333bad16" />
 +
# A line segment drawn from the centre to any vertex of a convex regular polygon is known as the radius of the polygon.<ref name="ref_333bad16" />
 +
# Within the last section, Steps for Calculating the Area of a Regular Polygon, step-by-step instructions were provided for calculating the area of a regular polygon.<ref name="ref_d02e4ba2">[http://www.mathguide.com/lessons/RegularPoly.html Area of a Regular Polygon]</ref>
 +
# Multiply the area of the right triangle by the number of right triangles that were made from the regular polygon.<ref name="ref_d02e4ba2" />
 +
# With enough sides, a regular polygon tends toward a circle.<ref name="ref_4ab75848">[https://hexdocs.pm/collision/Collision.Polygon.RegularPolygon.html Collision.Polygon.RegularPolygon – collision v0.3.1]</ref>
 +
# The polygon() function created for this example is capable of drawing any regular polygon.<ref name="ref_80749fd9">[https://processing.org/examples/regularpolygon.html RegularPolygon \ Examples \ Processing.org]</ref>
 +
# The area of a regular polygon can be found using different methods, depending on the variables that are given.<ref name="ref_42063335">[https://brilliant.org/wiki/regular-polygons/ Brilliant Math & Science Wiki]</ref>
 +
# The figure below shows one of the n n n isosceles triangles that form a regular polygon.<ref name="ref_42063335" />
 +
# The area of a regular polygon can be determined in many ways, depending on what is given.<ref name="ref_42063335" />
 +
# For regularPolygon(), the x and y coordinates specify the center of the regular polygon, relative to the top-left corner of the display area (x:0 y:0).<ref name="ref_3aca1b73">[https://studio.code.org/docs/gamelab/regularPolygon/ Code.org Tool Documentation]</ref>
 +
# x Number The x-location in pixels of the center of the regular polygon, from left to right on the display.<ref name="ref_3aca1b73" />
 +
# or haven't been called, and where you're trying to draw the regular polygon fits within the coordinates of the display (400 x 400).<ref name="ref_3aca1b73" />
 +
# When drawing thick lines, the size of the regular polygon is relative to the center of the perimeter line.<ref name="ref_3aca1b73" />
 +
# A polygon having equal sides, i.e. equilateral and equal angles i.e. equiangular is known as a regular polygon.<ref name="ref_09e73b44">[https://byjus.com/area-of-regular-polygon-formula/ Area of a Regular Polygon Formula with Solved Examples]</ref>
 +
# An apothem is also used sometimes to find the area of a regular polygon.<ref name="ref_09e73b44" />
 +
# The property of equal-length sides implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.<ref name="ref_09e73b44" />
 +
# Welcome to the Regular Polygon website.<ref name="ref_bdf4898b">[http://regular-polygon.com/ Regular Polygon, Plugins for SketchUp]</ref>
 +
# A regular polygon is an -sided polygon in which the sides are all the same length and are symmetrically placed about a common center (i.e., the polygon is both equiangular and equilateral).<ref name="ref_6e8324a3">[https://mathworld.wolfram.com/RegularPolygon.html Regular Polygon -- from Wolfram MathWorld]</ref>
 +
# Let be the side length, be the inradius, and the circumradius of a regular polygon.<ref name="ref_6e8324a3" />
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===소스===
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<references />
  
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==관련논문==
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==메타데이터==
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===위키데이터===
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* [http://www.jstor.org/stable/2691048 Golden Fields: A Case for the Heptagon]<br>
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* ID :  [https://www.wikidata.org/wiki/Q714886 Q714886]
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** Peter Steinbach, Mathematics Magazine Vol. 70, No. 1 (Feb., 1997), pp. 22-31
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===Spacy 패턴 목록===
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* http://www.jstor.org/action/doBasicSearch?Query=
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* [{'LOWER': 'regular'}, {'LEMMA': 'polygon'}]
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* http://www.ams.org/mathscinet
 
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* http://dx.doi.org/
 
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==링크==
 
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[[분류:중학수학]]
 

2021년 2월 17일 (수) 04:58 기준 최신판

개요

예


정다각형의 대각선의 길이



관련된 항목들

노트

위키데이터

말뭉치

  1. See Sides of a Regular Polygon for more information and formulas used to calculate their length.[1]
  2. In a regular polygon all its vertices lie on a circle.[1]
  3. In fact, this can be one of the definitions of a regular polygon: "All sides are the same length and all vertices lie on a circle".[1]
  4. Furthermore, if the shape is a regular polygon (all angles and length of sides are equal) then you can simply divide the sum of the internal angles by the number of sides to find each internal angle.[2]
  5. If your shape is a regular polygon (such as a square in the example above) then it is only necessary to measure one side as, by definition, the other sides of a regular polygon are the same length.[2]
  6. You can also work out the area of any regular polygon using trigonometry, but that’s rather more complicated.[2]
  7. Every regular polygon with n sides is formed by n isosceles triangles.[3]
  8. Use this calculator to calculate properties of a regular polygon.[4]
  9. Well, since we break a regular polygon into smaller triangles, we notice that the side of the polygon is the base of the triangle, and the apothem is the height of the triangle.[5]
  10. To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter.[5]
  11. How to find the central angle of a regular polygon.[5]
  12. Understand how to solve for the radius, side length or apothem for any regular polygon.[5]
  13. We study two different objects attached to an arbitrary quadrangulation of a regular polygon .[6]
  14. Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.[7]
  15. regular polygon is denoted by its Schläfli symbol {n}.[7]
  16. To be a regular polygon, the flat, closed, straight-sided shape must also have another property.[8]
  17. You may have three of the features (two dimensions; straight sides; an interior and exterior) but still not have a regular polygon.[8]
  18. Only when all six conditions, outlined above, are present will you have a regular polygon.[8]
  19. Results of our scrutiny using the six identifying properties of regular polygons: △ C A T is a regular polygon, the simplest kind.[8]
  20. The applets below illustrate what it means for any polygon to be classified as a regular polygon.[9]
  21. A regular polygon, remember, is a polygon whose sides and interior angles are all congruent.[10]
  22. A central angle of a regular polygon is an angle whose vertex is the center and whose rays, or sides, contain the endpoints of a side of the regular polygon.[10]
  23. Thus, an n-sided regular polygon has n apothems and n central angles, each of whose measure is 360/n degrees.[10]
  24. Once you have mastered these new definitions, the formula for the area of a regular polygon is an easy one.[10]
  25. A simple regular polygon is a convex figure in which the sides form a boundary around a single enclosed space, and no internal angle exceeds one hundred and eighty degrees.[11]
  26. A complex regular polygon will be configured as a star, and the sides will intersect one another at various points.[11]
  27. regular polygon has, the smaller the external angle at each vertex will be, because the internal angle will be larger.[11]
  28. A line segment drawn from the centre to any vertex of a convex regular polygon is known as the radius of the polygon.[11]
  29. Within the last section, Steps for Calculating the Area of a Regular Polygon, step-by-step instructions were provided for calculating the area of a regular polygon.[12]
  30. Multiply the area of the right triangle by the number of right triangles that were made from the regular polygon.[12]
  31. With enough sides, a regular polygon tends toward a circle.[13]
  32. The polygon() function created for this example is capable of drawing any regular polygon.[14]
  33. The area of a regular polygon can be found using different methods, depending on the variables that are given.[15]
  34. The figure below shows one of the n n n isosceles triangles that form a regular polygon.[15]
  35. The area of a regular polygon can be determined in many ways, depending on what is given.[15]
  36. For regularPolygon(), the x and y coordinates specify the center of the regular polygon, relative to the top-left corner of the display area (x:0 y:0).[16]
  37. x Number The x-location in pixels of the center of the regular polygon, from left to right on the display.[16]
  38. or haven't been called, and where you're trying to draw the regular polygon fits within the coordinates of the display (400 x 400).[16]
  39. When drawing thick lines, the size of the regular polygon is relative to the center of the perimeter line.[16]
  40. A polygon having equal sides, i.e. equilateral and equal angles i.e. equiangular is known as a regular polygon.[17]
  41. An apothem is also used sometimes to find the area of a regular polygon.[17]
  42. The property of equal-length sides implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.[17]
  43. Welcome to the Regular Polygon website.[18]
  44. A regular polygon is an -sided polygon in which the sides are all the same length and are symmetrically placed about a common center (i.e., the polygon is both equiangular and equilateral).[19]
  45. Let be the side length, be the inradius, and the circumradius of a regular polygon.[19]

소스

  1. ↑ 1.0 1.1 1.2 math word definition
  2. ↑ 2.0 2.1 2.2 Properties of Polygons
  3. ↑ Regular Polygon. Calculator
  4. ↑ Regular Polygon Calculator
  5. ↑ 5.0 5.1 5.2 5.3 Area of a Regular Polygon 17 Step-by-Step Examples!
  6. ↑ regular polygon
  7. ↑ 7.0 7.1 Regular polygon
  8. ↑ 8.0 8.1 8.2 8.3 Regular Polygons (Video) Definition, Examples & Properties
  9. ↑ Regular Polygon Definition
  10. ↑ 10.0 10.1 10.2 10.3 Geometry: Measurements: Area of Regular Polygons
  11. ↑ 11.0 11.1 11.2 11.3 Regular Polygons
  12. ↑ 12.0 12.1 Area of a Regular Polygon
  13. ↑ Collision.Polygon.RegularPolygon – collision v0.3.1
  14. ↑ RegularPolygon \ Examples \ Processing.org
  15. ↑ 15.0 15.1 15.2 Brilliant Math & Science Wiki
  16. ↑ 16.0 16.1 16.2 16.3 Code.org Tool Documentation
  17. ↑ 17.0 17.1 17.2 Area of a Regular Polygon Formula with Solved Examples
  18. ↑ Regular Polygon, Plugins for SketchUp
  19. ↑ 19.0 19.1 Regular Polygon -- from Wolfram MathWorld

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'regular'}, {'LEMMA': 'polygon'}]
원본 주소 "https://wiki.mathnt.net/index.php?title=정다각형&oldid=52459"