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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.
2. Stated this way, ruler and compass constructions appear to be a parlor game, rather than a serious practical problem.
3. In ruler and compass construction, one starts with a line segment of length one.
4. GRACE is an interactive ruler and compass construction editor for use in teaching the fundamental concepts of geometry to high school students.
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.
6. The classical constructions are called Euclidean constructions, but they certainly were known prior to Euclid.
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.
8. Practice Problem : Use classical construction techniques to divide the isosceles triangle below into two congruent right triangles.
9. Ruler-and-compass constructions only use undivided rulers, and compasses.
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.
11. A geometric figure is constructible if it can be made from a compass and straightedge construction.
12. One has to be very careful with the terminology associated with compass and straightedge constructions.

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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'}]