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Alligation
(gcide) | Alligation \Al`li*ga"tion\, n. [L. alligatio.]
1. The act of tying together or attaching by some bond, or
the state of being attached. [R.]
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2. (Arith.) A rule relating to the solution of questions
concerning the compounding or mixing of different
ingredients, or ingredients of different qualities or
values.
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Note: The rule is named from the method of connecting
together the terms by certain ligature-like signs.
Alligation is of two kinds, medial and alternate;
medial teaching the method of finding the price or
quality of a mixture of several simple ingredients
whose prices and qualities are known; alternate,
teaching the amount of each of several simple
ingredients whose prices or qualities are known, which
will be required to make a mixture of given price or
quality.
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Alternate alligation
(gcide) | Alternate \Al*ter"nate\ (?; 277), a. [L. alternatus, p. p. of
alternate, fr. alternus. See Altern, Alter.]
1. Being or succeeding by turns; one following the other in
succession of time or place; by turns first one and then
the other; hence, reciprocal.
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And bid alternate passions fall and rise. --Pope.
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2. Designating the members in a series, which regularly
intervene between the members of another series, as the
odd or even numbers of the numerals; every other; every
second; as, the alternate members 1, 3, 5, 7, etc.; read
every alternate line.
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3. (Bot.) Distributed, as leaves, singly at different heights
of the stem, and at equal intervals as respects angular
divergence. --Gray.
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Alternate alligation. See Alligation.
Alternate angles (Geom.), the internal and angles made by
two lines with a third, on opposite sides of it. It the
parallels AB, CD, are cut by the line EF, the angles AGH,
GHD, as also the angles BGH and GHC, are called alternate
angles.
Alternate generation. (Biol.) See under Generation.
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