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单词 altern base
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altern base
altern base n. Geometry (now historical) (in a triangle) the difference (or the sum) of the two line segments formed when a perpendicular is dropped from the vertex to the base (or the base produced); also called alternate base.
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altern base1630
alternate base1631
1630 W. Batten Most Easie Way Finding Sunnes Amplitude 4 From the Product substract the differentiall of ½ the true base, and the remainer shall be the differentiall of the alterne ½ base: which ½ alterne base added to the true ½ base is the greater case.
1784 S. Dunn Tables Correct & Conc. Logarithms p. xi/2 In any Plane Triangle; as Half the Base is to Half the Sum of the Legs, so is Half the Difference of the Legs to Half the Altern Base.
1826 T. Keith Introd. Theory & Pract. Plain & Spherical Trig. (ed. 5) iii. iv. 179 The distance of a perpendicular from the middle of the base, or as some writers call it the altern, or alternate base, is always equal to half the difference of the segments of the base, when the perpendicular falls within the triangle.
1915 G. A. Gibson in C. G. Knott Napier Tercentenary Memorial Vol. 123 Napier takes b as the base; if D is the projection of B on AC then CD is the greater case, AD is the less, and CE, the difference between CD and AD, is the ‘altern base’.
extracted from alternadj.adv.
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