"작도"의 두 판 사이의 차이

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== 노트 ==
  
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===말뭉치===
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# The assertion that every ruler-and-compass construction could be accomplished with a compass is due to Lorenzo Mascheroni (1750-1800) and appeared in his 1797 tractate The Geometry of Compasses.<ref name="ref_9ef3e753">[https://www.cut-the-knot.org/do_you_know/compass.shtml Geometric Construction with the Compass Alone]</ref>
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# Stated this way, ruler and compass constructions appear to be a parlor game, rather than a serious practical problem.<ref name="ref_3cf1a77d">[https://academickids.com/encyclopedia/index.php/Ruler-and-compass_construction Ruler-and-compass construction]</ref>
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# In ruler and compass construction, one starts with a line segment of length one.<ref name="ref_3cf1a77d" />
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# GRACE is an interactive ruler and compass construction editor for use in teaching the fundamental concepts of geometry to high school students.<ref name="ref_9c56b7c9">[https://www.cs.rice.edu/~jwarren/grace/ Graphical Ruler and Compass Editor]</ref>
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# GRACE allows dynamic creation and modification of ruler and compass constructions, allowing students to easily visualize the steps of a construction and how it varies for different inputs.<ref name="ref_9c56b7c9" />
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# The classical constructions are called Euclidean constructions, but they certainly were known prior to Euclid.<ref name="ref_3b14cd0a">[http://www.cs.cas.cz/portal/AlgoMath/Geometry/PlaneGeometry/GeometricConstructions/EuclideanConstructions.htm EuclideanConstructions]</ref>
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# Dürer goes on to give ruler and compass constructions of regular polygons with sides numbering 3, 4, 5, 6, 7, 8, 9, 11, and 13.<ref name="ref_ba00f0ac">[https://divisbyzero.com/2011/03/22/albrecht-durers-ruler-and-compass-constructions/ Albrecht Dürer’s ruler and compass constructions]</ref>
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# Practice Problem : Use classical construction techniques to divide the isosceles triangle below into two congruent right triangles.<ref name="ref_24ea1a90">[https://www.universalclass.com/articles/math/geometry/using-classical-geometric-construction-techniques.htm Using Classical Geometric Construction Techniques]</ref>
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# Ruler-and-compass constructions only use undivided rulers, and compasses.<ref name="ref_19015ac5">[http://www.zefdamen.nl/CropCircles/Constructions/Constructions_en.htm Zef Damen Constructions with ruler and compass]</ref>
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# (Note: P.E.Zimourtopoulos of the Democritus University of Thrace, Greece, reminded me, that strict ruler-and-compass constructions cannot use compasses in this last mentioned way.<ref name="ref_19015ac5" />
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# A geometric figure is constructible if it can be made from a compass and straightedge construction.<ref name="ref_2f5bea81">[https://planetmath.org/compassandstraightedgeconstruction compass and straightedge construction]</ref>
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# One has to be very careful with the terminology associated with compass and straightedge constructions.<ref name="ref_2f5bea81" />
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===소스===
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<references />
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== 메타데이터 ==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q115368 Q115368]
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===Spacy 패턴 목록===
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* [{'LOWER': 'compass'}, {'LOWER': 'and'}, {'LOWER': 'straightedge'}, {'LEMMA': 'construction'}]
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* [{'LOWER': 'compass'}, {'LOWER': 'and'}, {'LOWER': 'straightedge'}, {'LEMMA': 'construction'}]
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* [{'LOWER': 'ruler'}, {'OP': '*'}, {'LOWER': 'and'}, {'OP': '*'}, {'LOWER': 'compass'}, {'LEMMA': 'construction'}]
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* [{'LOWER': 'classical'}, {'LEMMA': 'construction'}]

2021년 2월 12일 (금) 10:07 기준 최신판

노트

말뭉치

  1. The assertion that every ruler-and-compass construction could be accomplished with a compass is due to Lorenzo Mascheroni (1750-1800) and appeared in his 1797 tractate The Geometry of Compasses.[1]
  2. Stated this way, ruler and compass constructions appear to be a parlor game, rather than a serious practical problem.[2]
  3. In ruler and compass construction, one starts with a line segment of length one.[2]
  4. GRACE is an interactive ruler and compass construction editor for use in teaching the fundamental concepts of geometry to high school students.[3]
  5. GRACE allows dynamic creation and modification of ruler and compass constructions, allowing students to easily visualize the steps of a construction and how it varies for different inputs.[3]
  6. The classical constructions are called Euclidean constructions, but they certainly were known prior to Euclid.[4]
  7. Dürer goes on to give ruler and compass constructions of regular polygons with sides numbering 3, 4, 5, 6, 7, 8, 9, 11, and 13.[5]
  8. Practice Problem : Use classical construction techniques to divide the isosceles triangle below into two congruent right triangles.[6]
  9. Ruler-and-compass constructions only use undivided rulers, and compasses.[7]
  10. (Note: P.E.Zimourtopoulos of the Democritus University of Thrace, Greece, reminded me, that strict ruler-and-compass constructions cannot use compasses in this last mentioned way.[7]
  11. A geometric figure is constructible if it can be made from a compass and straightedge construction.[8]
  12. One has to be very careful with the terminology associated with compass and straightedge constructions.[8]

소스

  1. ↑ Geometric Construction with the Compass Alone
  2. ↑ 2.0 2.1 Ruler-and-compass construction
  3. ↑ 3.0 3.1 Graphical Ruler and Compass Editor
  4. ↑ EuclideanConstructions
  5. ↑ Albrecht Dürer’s ruler and compass constructions
  6. ↑ Using Classical Geometric Construction Techniques
  7. ↑ 7.0 7.1 Zef Damen Constructions with ruler and compass
  8. ↑ 8.0 8.1 compass and straightedge construction

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'compass'}, {'LOWER': 'and'}, {'LOWER': 'straightedge'}, {'LEMMA': 'construction'}]
  • [{'LOWER': 'compass'}, {'LOWER': 'and'}, {'LOWER': 'straightedge'}, {'LEMMA': 'construction'}]
  • [{'LOWER': 'ruler'}, {'OP': '*'}, {'LOWER': 'and'}, {'OP': '*'}, {'LOWER': 'compass'}, {'LEMMA': 'construction'}]
  • [{'LOWER': 'classical'}, {'LEMMA': 'construction'}]
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