noncuple
Language: English
Part of speech: adj
Pronunciation: enpr: nŏnʹkyo͞opl
ipa: /ˈnɒnkjuːpl/
Etymology: First attested in adjectival use in 1557, in nominal use in 1636, and in verbal use in 1674; from the post-Classical Latin noncuplus (“nine times larger than”), from the Classical Latin nōnus (“ninth”) + -cuplus; compare nonuple.
Senses: examples: text: 1557, Robert Record, Whetstone of Witte, sig. Eiii
36 vnto 4 is a noncuple proportion.
text: Both triples added together […] make the proportion or amounting Ratio Noncuple, or ninefold.
ref: ante''' 1690, Samuel Jeake, Λογιστικη Λογια, or Arithmetick Surveighed and Reviewed (second edition, published in 1696), page 182
text: Let the Saltpeter be taken together with the Gun-powder in ſeveral Degrees of Superparticular and Superpartient, as Sextuple, Septuple, Octuple, Noncuple and Decuple; or Sixfold, Sevenfold, Eightfold, Ninefold and Tenfold.
ref: 1729, Lt. Gen. Casimir Simienowicz (author), Capt. George Shelvocke, transl., The Great Art of Artillery, page 148:
text: The eighth is vacant because there is no noncuple proportion of 9/1 on the monochord.
ref: 1984, The Journal of Musicological Research, V, page 17:
glosses: Ninefold.
Nine-to-one; (in 1729 quot.) imprecisely, with any number of aliquot parts over.
raw_tags: of a ratio or proportion
examples: text: To proue that a trilater equilater Pyramis, is noncuple to a cube inscribed in it.
ref: 1570, Henry Billingsley tr. Comte de Candale in The Elements of Geometrie of the Most Ancient Philosopher Euclide of Megara, f. 453
text: The Space run thro’ in the double Time, is quadruple to that ran thro’ in a ſubduple Time; that run thro’ in the triple Time is noncuple.
ref: 1730, Galileo Galilei, translated by Thomas Weſton, Mathematical Diſcourſes Concerning Two New Sciences Relating to Mechanicks and Local Motion, page 264:
glosses: Ninefold.
Nine times greater or larger than.
raw_tags: construed with to
examples: text: If for duple we had substituted triple, quadruple, quintuple, &c. the action would have come out noncuple, sedecuple, 25ple.
ref: 1744–1749, Gottfried Wilhelm von Leibniz (author) and James Jurin (translator), “Commercium Literarum” (1696) in The Philosophical Transactions of the Royal Society of London (1665–1800) IX (1809), page 218
text: 1797, Colin Macfarquhar and George Gleig (editors), Encyclopædia Britannica (3rd edition) XV (Plant–Rana), page 544, “Projectiles”
As the height neceſſary for acquiring any velocity increaſes or diminiſhes in the duplicate proportion of that velocity, it is evident that all the ranges with given elevations will vary in the ſame proportion, a double velocity giving a quadruple range, a triple velocity giving a noncuple range, &c.
text: The velocity of the vibrations performed by a string […] is as the square roots of the stretching weights: […] a noncuple weight will produce vibrations of triple velocity, or a triple number in the same time.
ref: 1803, Jacques Ozanam (author), Jean-Étienne Montucla [Fr. ed.], and Charles Hutton (translator), Recreations in Mathematics and Natural Philosophy II, pages 395–396
glosses: Ninefold.
Nine times as great or as numerous.
examples: text: In the following odd multiples above the ſeptuple arc, the mean arc may be greater than three quadrants: Thus, for inſtance, in the caſe of the noncuple arc, in which the three equidifferent arcs are the quintuple, ſeptuple, and noncuple arcs, ‛tis evident the greateſt magnitude of the ſeptuple, or mean, arc, or that which it has when the noncuple arc is equal to a whole circle, is ⁷⁄₉, or ²⁸⁄₃₆, of the whole circumference, which is greater than ²⁷⁄₃₆ or ¾ of the whole circumference, or three quadrants; and ſince this is true in the noncuple arc, it follows a fortiori that it will be true in all higher multiples.
ref: 1760, Francis Maſeres, Elements of Plane Trigonometry, page 109:
topics: mathematics
sciences
glosses: Ninefold.
Divided into nine equal segments.
examples: text: In the noncuple series, each term exceeds the octuple of the sum of its parts, by unity.
ref: 1816, Thomas Taylor, Theoretic Arithmetic, page 133:
glosses: Ninefold.
Proceeding by powers of nine with exponents in integral succession (i.e.: 9¹, 9², 9³, 9⁴, ... = 9, 81, 729, 6,561, ...).
raw_tags: of a series of numbers