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Pythagoras0 (토론 | 기여) |
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(같은 사용자의 중간 판 3개는 보이지 않습니다) | |||
1번째 줄: | 1번째 줄: | ||
− | + | == 노트 == | |
− | + | ===말뭉치=== | |
+ | # 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> | ||
+ | # 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> | ||
+ | # In ruler and compass construction, one starts with a line segment of length one.<ref name="ref_3cf1a77d" /> | ||
+ | # 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> | ||
+ | # 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" /> | ||
+ | # 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> | ||
+ | # 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> | ||
+ | # 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> | ||
+ | # 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> | ||
+ | # (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" /> | ||
+ | # 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> | ||
+ | # One has to be very careful with the terminology associated with compass and straightedge constructions.<ref name="ref_2f5bea81" /> | ||
+ | ===소스=== | ||
+ | <references /> | ||
+ | |||
+ | == 메타데이터 == | ||
+ | |||
+ | ===위키데이터=== | ||
+ | * ID : [https://www.wikidata.org/wiki/Q115368 Q115368] | ||
+ | ===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'}] |
2021년 2월 12일 (금) 09:07 기준 최신판
노트
말뭉치
- 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]
- Stated this way, ruler and compass constructions appear to be a parlor game, rather than a serious practical problem.[2]
- In ruler and compass construction, one starts with a line segment of length one.[2]
- GRACE is an interactive ruler and compass construction editor for use in teaching the fundamental concepts of geometry to high school students.[3]
- 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]
- The classical constructions are called Euclidean constructions, but they certainly were known prior to Euclid.[4]
- 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]
- Practice Problem : Use classical construction techniques to divide the isosceles triangle below into two congruent right triangles.[6]
- Ruler-and-compass constructions only use undivided rulers, and compasses.[7]
- (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]
- A geometric figure is constructible if it can be made from a compass and straightedge construction.[8]
- One has to be very careful with the terminology associated with compass and straightedge constructions.[8]
소스
- ↑ Geometric Construction with the Compass Alone
- ↑ 2.0 2.1 Ruler-and-compass construction
- ↑ 3.0 3.1 Graphical Ruler and Compass Editor
- ↑ EuclideanConstructions
- ↑ Albrecht Dürer’s ruler and compass constructions
- ↑ Using Classical Geometric Construction Techniques
- ↑ 7.0 7.1 Zef Damen Constructions with ruler and compass
- ↑ 8.0 8.1 compass and straightedge construction
메타데이터
위키데이터
- ID : Q115368
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'}]