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  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]

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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'}]