# noncuple

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## Contents

## English[edit]

### Etymology[edit]

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*.

### Pronunciation[edit]

- (Received Pronunciation) enPR: nŏnʹkyo͞opl, IPA
^{(key)}: /ˈnɒnkjuːpl/

### Adjective[edit]

**noncuple** (*not comparable*)

- Ninefold.
- (of a ratio or proportion) Nine-to-one; (in 1729 quot.) imprecisely, with any number of aliquot parts over.
**1557**, Robert Record,*Whetstone of Witte*, sig. Eiii- 36 vnto 4 is a
**noncuple**proportion.

- 36 vnto 4 is a
, Samuel Jeake, Λογιστικη Λογια*ante*1690*, or Arithmetick Surveighed and Reviewed*(second edition, published in 1696), page 182- Both triples added together […] make the proportion or amounting Ratio
**Noncuple**, or ninefold.

- Both triples added together […] make the proportion or amounting Ratio
**1729**, Lt. Gen. Casimir Simienowicz (author) and Capt. George Shelvocke (translator),*The Great Art of Artillery*, page 148- 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.

- Let the
**1984**,*The Journal of Musicological Research*V, page 17- The eighth is vacant because there is no
**noncuple**proportion of 9/1 on the monochord.

- The eighth is vacant because there is no

- (construed with
*to*) Nine times greater or larger than.**1570**, Henry Billingsley tr. Comte de Candale in*The Elements of Geometrie of the Most Ancient Philosopher Euclide of Megara*, f. 453- To proue that a trilater equilater Pyramis, is
**noncuple**to a cube inscribed in it.

- To proue that a trilater equilater Pyramis, is
**1730**, Galileo Galilei (author) and Thomas Weſton (translator),*Mathematical Diſcourſes Concerning Two New Sciences Relating to Mechanicks and Local Motion*, page 264- 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**

- The Space run thro’ in the

- Nine times as great or as numerous.
**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- If for duple we had substituted triple, quadruple, quintuple, &c. the action would have come out
**noncuple**, sedecuple, 25ple.

- If for duple we had substituted triple, quadruple, quintuple, &c. the action would have come out
**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.

- 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
**1803**, Jacques Ozanam (author), Jean-Étienne Montucla [Fr. ed.], and Charles Hutton (translator),*Recreations in Mathematics and Natural Philosophy*II, pages 395–396- 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.

- The velocity of the vibrations performed by a string […] is as the square roots of the stretching weights: […] a

- (mathematics, rare) Divided into nine equal segments.
**1760**, Francis Maſeres,*Elements of Plane Trigonometry*, page 109- 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.

- 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

- (rare, of a series of numbers) Proceeding by powers of nine with exponents in integral succession (
*i.e.*: 9^{1}, 9^{2}, 9^{3}, 9^{4}, ... = 9, 81, 729, 6,561, ...).**1816**, Thomas Taylor,*Theoretic Arithmetic*, page 133- In the
**noncuple**series, each term exceeds the octuple of the sum of its parts, by unity.

- In the

- (of a ratio or proportion) Nine-to-one; (in 1729 quot.) imprecisely, with any number of aliquot parts over.

### Noun[edit]

**noncuple**

- (rare, music) Nine beats per measure.
**1636**, Charls Butler,*The Principles of Muſik in Singing and Setting*, page 25- Ðe ri
~~g~~t hand diſcanteŧ inuppon đe plain**Noncuple***Triple*of đe left hand.

- Ðe ri

- The product of multiplying a given number by nine.
**1690**, William Leybourn,*Cursus Mathematicus*(1st ed.), page 181- And so on to the ninth and last [row], in which you shall find the
**noncuple**of the number given.

- And so on to the ninth and last [row], in which you shall find the
**1700**, William Leybourn,*Arithmetick: Vulgar, Decimal, Inſtrumental, Algebraical*(7th ed.), page 265- In the third […] you ſhall find the triple thereof. In the fourth the Quadruple thereof. In the fifth the Quintuple; and ſo on the ninth and laſt the
**Noncuple**of the Number given.

- In the third […] you ſhall find the triple thereof. In the fourth the Quadruple thereof. In the fifth the Quintuple; and ſo on the ninth and laſt the
**1713**, Edmund Wingate (author), John Kersey and George Shelley (editors),*Mr.*Wingate*’s Arithmetick*(13th ed.), page 45- Again adding 2124 (the triple of the
*Diviſor*) to the*Diviſor*708, I find 2832 for the quadruple of the*Diviſor*, which quadruple I ſubſcribe under the Triple, and proceeding in like manner, at laſt the Table is finiſh’d, which readily ſhews the*Diviſor*, with the*duple*,*triple*,*quadruple*,*quintuple*,*ſextuple*,*ſeptuple*,*octuple*, andof the**noncuple***Diviſor*.

- Again adding 2124 (the triple of the

- (rare, of dice) A throw in which all of nine dice show the same value (an event whose probability of occurring is 1,679,616 to 1).

### Verb[edit]

**noncuple**

- (transitive, rare) Make nine times greater; multiply by nine.
**1674**, Sir William Petty,*A Discourse made before the Royal Society […] concerning the Use of Duplicate Proportion*, page 117- If you shall quadruple the same weight it will draw down double the first distance, and
**noncuple**will draw it down treble, etc.

- If you shall quadruple the same weight it will draw down double the first distance, and

#### Derived terms[edit]

- noncuplication (obsolete, rare)

### References[edit]

- “†Noncuple” listed on page 193 of volume VI, part II (M–N), § ii (N) of
*A New English Dictionary on Historical Principles*[1st ed., 1908]

†**Noncuple,***a.*and*sb.**Obs.*[f. L.*nōnus*ninth +*-uple*as in*quadruple*, with*c*inserted on the analogy of*decuple*.]**A.***adj.*Ninefold.*Noncuple to*: nine times as great as.**B.***sb.*A quantity nine times as great as another. [¶]**1557**Recorde*Whetst.*E iij b, 36 vnto 4 is a noncuple proportion.**1570**Billingsley*Euclid*xvi. prop. 30. 454 To proue that a trilater equilater Pyramis, is noncuple to a cube inscribed in it.**1674**Petty*Disc. Dupl. Proportion*22 A quadruple Sail is requisite to double Swiftness, and noncuple to treble.**1674**Jeake*Arith.*(1696) 182 Both triples added together..make the proportion or amounting Ratio Noncuple, or ninefold.**1690**Leybourn*Curs. Math.*181 And so on to the ninth and last [row], in which you shall find the noncuple of the number given. [¶] Hence †**Noncuplica·tion,**multiplication by nine. [¶]**1674**Jeake*Arith.*(1696) 25 Noncuplication, or to multiply by 9. - “†noncuple,
*a.*and*n.*” listed in the*Oxford English Dictionary*[2nd edition, 1989] - “† noncuple,
*adj.*and*n.*” listed in the*Oxford English Dictionary*[3rd edition, December 2003]