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单词 Cosine Circle
释义

Cosine Circle

Also called the second Lemoine Circle. Draw lines through the Lemoine Point and Parallel to thesides of the Triangles. The points where the antiparallel lines intersect the sides then lie on aCircle known as the cosine circle with center at . The Chords , , and are proportional to the Cosines of the Angles of , giving the circleits name.


Triangles and are directly similar, andTriangles and are similar. The Miquel Point of is at the Brocard Point of .

See also Brocard Points, Lemoine Circle, Miquel Point, Tucker Circles


References

Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 271-273, 1929.


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