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单词 supplementary triangle
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supplementary triangle
supplementary triangle n. Mathematics either of two spherical triangles in which the points of the one are the poles of the sides of the other, and each side of the one is the supplement of the corresponding angle of the other.An earlier term was supplemental triangle n. at supplemental adj. and n. Compounds.
ΚΠ
1776 G. Douglas Elements Euclid 159 The arches that are the measures of the angles of the supplementary triangle, are the supplements of the sides of the given triangle.
1826 F. R. Hassler Elements Analytic Trigonom. iii. i. 107 Generally, the sides and angles of the supplementary triangle are the supplements of the angles and sides of the original triangle.
1906 C. L. Crandall Text-bk. Geodesy (1907) iii. 91 For primary work these values apply to the main scheme, while for secondary and tertiary they apply to the supplementary triangles as well.
2007 C. Barbieri Fund. Astron. i. 15 (note) It will be easy to reason on the supplementary triangle CAB.
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