Definition of Figurete
Fig"ur*ate (?), a. [L.
figuratus, p. p. of figurare. See Figure.]
1. Of a definite form or figure.
Plants are all figurate and determinate, which
inanimate bodies are not. Bacon.
2. Figurative; metaphorical. [Obs.]
Bale.
3. (Mus.) Florid; figurative;
involving passing discords by the freer melodic movement of one or
more parts or voices in the harmony; as, figurate counterpoint
or descant.
Figurate counterpoint or
descant (Mus.), that which is not
simple, or in which the parts do not move together tone for tone, but
in which freer movement of one or more parts mingles passing discords
with the harmony; -- called also figural, figurative,
and figured counterpoint or descant (although the term
figured is more commonly applied to a bass with numerals
written above or below to indicate the other notes of the
harmony). -- Figurate numbers (Math.),
numbers, or series of numbers, formed from any arithmetical
progression in which the first term is a unit, and the difference a
whole number, by taking the first term, and the sums of the first
two, first three, first four, etc., as the successive terms of a new
series, from which another may be formed in the same manner, and so
on, the numbers in the resulting series being such that points
representing them are capable of symmetrical arrangement in different
geometrical figures, as triangles, squares, pentagons, etc. In
the following example, the two lower lines are composed of
figurate numbers, those in the second line being
triangular, and represented thus: --
. 1, 2, 3, 4, etc.
. . . 1, 3, 6, 10, etc.
. . . . . . . etc. 1, 4, 10, 20, etc
. . . . . . . . . . . .
- Webster's Unabridged Dictionary (1913)
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