Definition of Figurate. Meaning of Figurate. Synonyms of Figurate

Here you will find one or more explanations in English for the word Figurate. Also in the bottom left of the page several parts of wikipedia pages related to the word Figurate and, of course, Figurate synonyms and on the right images related to the word Figurate.

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...
- Erythema (from Gr**** erythros 'red') is redness of the skin or mucous membranes, caused by hyperemia (increased blood flow) in superficial capillaries...
- arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The nth triangular...
- are thought of as alphas (units). These are one type of 2-dimensional figurate numbers. The number 10 for example, can be arranged as a triangle (see...
- being the fifth superperfect number and the sixth power of four, 46. In figurate numbers, 5 is a pentagonal number, with the sequence of pentagonal numbers...
- 19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number. 19 {\displaystyle 19} is the eighth prime number, and forms a...
- 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...
- back to Archimedes and Fibonacci. They are part of a broader topic of figurate numbers representing the numbers of points forming regular patterns within...
- parallelogram. Indeed, the gnomon is the increment between two successive figurate numbers, including square and triangular numbers.[citation needed] The...
- {139}{51840n^{3}}}-{\frac {571}{2488320n^{4}}}+\cdots \right).} 288 is connected to the figurate numbers in multiple ways. It is a pentagonal pyramidal number and a dodecagonal...