Definition of Figurate. Meaning of Figurate. Synonyms of Figurate

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Definition of Figurate

Figurate
Figurate 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. Note: 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 . . . . . . . . . . . .

Meaning of Figurate from wikipedia

- The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes...
- Figurate erythema is a form of erythema (reddening of the skin) that presents in a ring or an arc shape. An example is erythema marginatum. classical types...
- Erythema (Ancient Gr****: ἐρύθημα, from Gr**** erythros 'red') is redness of the skin or mucous membranes, caused by hyperemia (increased blood flow) in...
- Michel-marie; Deza, Elena (2012). Figurate Numbers. World Scientific. p. 436. ISBN 978-981-4458-53-5. Other sources on its figurate numbers can be found in the...
- arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The nth triangular...
- back to Archimedes and Fibonacci. They are part of a broader topic of figurate numbers representing the numbers of points forming regular patterns within...
- This is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to...
- In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The...
- 1017/S0004972700030252. MR 1165142. Deza, Michel; Deza, Elena (2012). Figurate Numbers. World Scientific. p. 2. ISBN 9789814458535. Sloane, N. J. A. (ed...
- number, a hexagonal number, and a centered nonagonal number, the fourth figurate number (after 1, 28, and 91) with that combination of properties. It is...