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单词 orthocycle
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orthocycle
orthocycle n.
Brit. /ˈɔːθə(ʊ)ˌsʌɪkl/
,
U.S. /ˈɔrθoʊˌsaɪk(ə)l/
,
/ˈɔrθəˌsaɪk(ə)l/
Geometry (now rare) the circle that is the locus of the intersection of two tangents to a conic that are perpendicular to one another; the director circle.
ΚΠ
1891 C. Taylor Elem. Geom. Conics (ed. 7) iv. §31 The locus of the point of concourse of a pair of tangents at right angles will be shewn to be a circle, which we shall term the Orthocycle. [Note] It has also been named the Director Circle, since in the parabola it degenerates into the directrix and the line infinity.
1905 Amer. Math. Monthly 12 2 The term director circle..is frequently misapplied to what is more properly called the ortho-cycle; which latter is in no sense a directrix; and merely happens to coincide with it, and the true director circle, in the special case of the parabola.
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