Fluxion in the Oxford English Dictionary
calculus (1796) Hutton Math. Dict. I. 234
We say the Arithmetical or Numeral Calculus, the Algebraical Calculus, the Differential Calculus, the Exponential Calculus, the Fluxional Calculus, the Integral Calculus, the Literal or Symbolical Calculus, etc...Algebraical, Literal or Symbolical Calculus is..the same with algebra.''
celerity (1734) Berkeley Analyst §.4
The fluxions are celerities, not proportional to the finite increments. ''
coefficien(1734) Berkeley Analyst §.9
Rules for obtaining the fluxions of all other products and powers; be the coefficients or the indexes what they will.''
condition (1823) Crabb Technol. Dict. s.v.,
Equation of Conditions: certain equations in the Integral Calculus, of this form Ay = Bx, useful in ascertaining whether a proposed fluxion will admit of finite integration or a finite fluent. ''
congestion(1634) T. Johnson Parey's Chirurg. 250
There are two general causes of Impostumes, fluxion, and Congestion. ''
constant (1756) N. Saunderson Meth. Fluxions 2
The Fluxion of a constant Quantity is nothing. ''
contempora(1758) I. Lyons Fluxions Pref. 6,
I.. consider the Ratio of the Fluxions as the same as that of the contemporaneous Increments. ''
contempora(1806) Hutton Course Math. II. 290
Contemporary Fluents, or Contemporary Fluxions, are such as flow together, or for the same time.''
converging(1807) Hutton Course Math. II. 300
So arranged..that the series produced may be a converging one, rather than diverging: and this is effected by placing the greater terms foremost in the given fluxion. ''
correct (1807) Hutton Course Math. II. 302
``To Correct the Fluent of any Given Fluxion..The finding of the constant quantity c, to be added or subtracted with the fluent as found by the foregoing rules, is called correcting the fluent. ''
correction(1796) Hutton Math. Dict. I. 482 s.v. Fluent,
The Fluent of a given fluxion, found as above, sometimes..wants a correction. ''
deflux (1657) Tomlinson Renou's Disp. 520
It cohibits all fluxions, and cocts the defluxed humours.''
delapsion (1603) Holland Plutarch's Mor. 954 (R.)
That the same rays being carried so great a way, should have their frictions, fluxions, and delapsions. ''
differenti(1706) H. Ditton Instit. Fluxions 17
The Fundamental Principles [of Fluxions]..appear to be more accurate, clear, and convincing than those of the Differential Calculus. ''
differenti(1819) G. Peacock (title),
Comparative view of the fluxional and differential Calculus. ''
differenti(1704) J. Harris Lex. Techn. s.v. Fluxion,
This Method is much..shorter than..the French one with the Differential d multiplied into the Flowing Quantity, to denote the Fluxion. ''
differenti(1730-6) Bailey (folio),
Differential of any quantity, is the fluxion of that quantity. ''
differenti(1880) Buckingham Elem. Diff. &. Int. Calc. (ed. 2) 42
`The function which Leibnitz terms `differential' and which Newton designates as a `fluxion' is the concrete symbol which represents the rate of change in the variable.''
dimensurat(1660) Stanley Hist. Philos. (1701) 404/1
The point by fluxion makes a Line, the Line..a Superficies, the Superficies..a Body, three ways dimensurable. ''
direct (1807) Hutton Course Math. II. 279
The Direct and Inverse Method of Fluxions..the direct method..consists in finding the fluxion of any proposed fluent or flowing quantity; and the inverse method, which consists in finding the fluent of any proposed fluxion. ''
divertise (1597) Lowe Chirurg. (1634) 338
Let it [the ulcer] bleed well, to divertize the fluxion.''
divide (1831) Brewster Newton (1855) II. xxi. 255 `
`The fluxionary controversy had at this time begun to divide the mathematical world.''
draw (1811) Hutton Course Math. II. 291
The fluxion of..the continual product of four..quantities..consisting of the fluxion of each quantity, drawn into the products of the other three.''
equate (1779) Hutton in Phil. Trans. LXX. 9
The fluxion of this expression being equated to 0. ''
exponent (1734) Berkeley Analyst §.45
We may often observe that the Exponents of Fluxions..are confounded with the Fluxions themselves. ''
exponentia(1784) Phil. Trans. LXXIV. 401
P is either an algebraical, exponential, or fluential fluxion of X. ''
exponentia(1796) Hutton Math. Dict.,
Exponential Calculus the method of differencing or finding the fluxions of Exponential quantities, and of summing up those differences or finding their fluents. ''
express (1751) Chambers Cycl. s.v. Fluxion,
To express the fluxions of simple variable quantities..you need only put the..letters which express them with a dot over them. ''
express (1811) Hutton Course Math. III. 372
The fluxional equa. expressing the relation between x and z. ''
expression(1807) Hutton Course Math. II. 294
When the given Fluxional Expression is in this Form..namely, a Fraction. ''
eye (1930) Peach &. Horne Geol. Scotl. iv. 117
The pegmatites show fluxion structure with felspar `eyes'. ''
flaccidity(1676) Wiseman Surgery vi. ii. 444
There is neither Fluxion nor Pain, but Flaccidity joyned with an Insensibility. ''
flexion (1704) Hayes Treat. Fluxions vi. 153
The Use of Fluxions in Investigating the Points of contrary Flexion and Retrogression of Curves. ''
flow (1828) Hutton Course Math. II. 304
To obtain the second fluxion it will suffice to make xn-1 flow.''
fluent (1734) Berkeley Analyst §.45 Wks. 1871 III. 287
Each foregoing is a fluent quantity having the following one for its fluxion. ''
fluent (1706) W. Jones Syn. Palmar. Matheseos 226
Hence the Celerity of the Motion is..called Fluxion, and the Quantity generated Fluent. ''
fluential (1784) Waring in Phil. Trans. LXXIV. 401
Whose sum p is either an algebraical, exponential, or fluential fluxion of x. ''
fluidal (1893) Geikie Geol. (ed. 3) 100
Streaked [structure]..conspicuously shown by the lines of flow in vitreous rocks (flow-structure, fluxion-structure, fluidal-structure).''
flux (1878) Clifford Dynamics ii. 63
This rate of change of a fluent quantity is called its fluxion, or sometimes, more shortly, its flux.''
fluxion (1599) Hakluyt Voy. II. ii. 333
Whirlepooles, and fluxions are caused..in the middest of the sea. ''
fluxion (1603) Holland Plutarch's Mor. 962
The fluxion of the odour comming from the beast. ''
fluxion (1606) J. Davies Sel. Sec. Husb. &.c. Wks. (Grosart) II. 14
If the fluxion of this instant Now Effect not That, noght wil, that Time doth know. ''
fluxion (1635) Swan Spec. M. v. §.2 (1643) 165
That [water]..which..hath some certain beginning of fluxion. ''
fluxion (1656) T. Stanley Hist. Philos. v. 10
In Sensibles neither magnitude nor quality is permanent, but in continuall fluxion and mutation. ''
fluxion (1660) T. Stanley Hist. Philos. ix. 550/1
The point by fluxion makes a Line. ''
fluxion (1880) Blackmore M. Anerley I. viii. 92
Their bodies continually going up and down upon perpetual fluxion.''
fluxion (1829) Gen. P. Thompson Exerc. (1842) I. 31
The Catholics know that the fluxion of public opinion is in their favour.''
fluxion (1603) Holland Plutarch's Mor. 725
Those fluxions which rest upon waters, looking-glasses, or any such mirrors. ''
fluxion (1655) Stanley Hist. Philos. ii. (1701) 65/1
Falling Stars are not fluxions of the &ae.ther extinguisht in the Air almost as soon as lighted. ''
fluxion (1748) Hartley Observ. Man. i. iii. 352
The Rays of Light may be considered as a kind of Fluxions in respect of the biggest component Particles of Matter.''
fluxion (C. 1550) Lloyd Treas. Health (1585) A iij,
Horsnesse, and continuall fluxion of snevill in old men. ''
fluxion (1601) Holland Pliny II. 559
It is the better for to represse the fluxion of humors into the eies. ''
fluxion (1612) Woodall Surg. Mate Wks. (1653) 75
Galles..cure fluxions of the gums. ''
fluxion (1746) Lady M. W. Montagu Let. to W. Montagu 23 Aug.,
I had so bad a fluxion on my eyes, I was really afraid of losing them. ''
fluxion (1874) Roosa Dis. Ear 75
A fluxion towards the labyrinth with serous exudation in the nerve structure.''
fluxion (1796) Burney Metastasio II. 351
To attempt the cure of the eloquent fluxion to which he is subject.''
fluxion (1563) W. Fulke Meteors (1640) 53 b,
The common dew drunke of cattell..bringing them to a fluxion. ''
fluxion (1599) A. M. tr. Gabelhouer's Bk. Physicke 217/2
It pr&ae.venteth also..superfluous fluxione [of the menstrualles]. ''
fluxion (1657) Tomlinson Renou's Disp. 165*
This cures eroding fluxions. ''
fluxion (1760-72) tr. Juan &. Ulloa's Voy. (ed. 3) II. 67
At Lima it occasioned constipations and fluxions.''
fluxion (1731) Bailey,
Fluxion (among Chymists), signifies the running of Metals or any other Bodies, into a Fluid, by Fire or otherwise. ''
fluxion (1706) W. Jones Syn. Palmar. Matheseos 174
Let x&dotab. be a Ratiuncula, or Fluxion of the Ratio of 1 to 1 + x. ''
fluxion (1806) Hutton Course Math. II. 287
Rules..for finding the fluxions of all sorts of quantities. ''
fluxion (1828) Hutton Course Math. II. 323
The fluxion found from a given fluent is always perfect and complete.''
fluxion (1741) Watts Improv. Mind i. xx. 327
A Penetration into the abstruse Difficulties and Depths of modern Algebra and Fluxions. ''
fluxion (1812) Cresswell Max. &. Min. ii. ii. 197
Its [quantity's] increase and decrease by motion, which is the foundation of the doctrine of Fluxions. ''
fluxion (1830) Herschel Stud. Nat. Phil. iii. iii. (1851) 271
The method of fluxions, or, as it is now more generally called, the differential calculus. ''
fluxion (1874) Green Short Hist. ix. §.1. 599 `
`Newton..facilitated the calculation of planetary movements by his theory of Fluxions.''
fluxion (1846) De Quincey Christianity Wks. XII. 234
The hour-hand of a watch-who can detect the separate fluxions of its advance?''
fluxion (1882) Geikie Text-bk. Geol. ii. ii. iv. 104
This is well shown by what is termed the fluxion-structure. ''
fluxion (1890) Geikie Class-bk. Geol. (ed. 2) 146
Flow-structure, Fluxion-structure, an arrangement of the crystallites, crystals, or particles of a rock in streaky lines..indicative of the internal movement of the mass previous to its consolidation.''
fluxional (1748) Hartley Observ. Man i. iii. 357
The Justness of an arithmetical..or fluxional Operation. ''
fluxional (1823) Mitchell Dict. Math. &. Phys. Sc.,
Fluxional Analysis is the analysis of fluxions and flowing quantities, distinguishable from the differential calculu s both by its metaphysics and notation. ''
fluxional (1828) Hutton Course Math. II. 321
Multiply every term by the fluxional letter.''
fluxional (1827) Coleridge Rem. (1836) I. 215
How are we to explain the reaction of this fluxional body on the animal? ''
fluxional (1842-3) Grove Corr. Phys. Forces (1874) 134
The instability, or fluxional state, of all nature. ''
fluxional (1862) F. Hall Hindu Philos. Syst. 36
Other effects besides the fluxional creation of the world are referred to.''
fluxionary(1734) Berkeley Analyst §.10
The great Author of the Fluxionary Method. ''
fluxionary(1763) W. Emerson Meth. Increm. vii,
Some fluxionary quantities have no fluents, but what are expressed by series. ''
fluxionary(1831) Brewster Newton (1855) I. ii. 35
We find him occupied with his fluxionary calculus.''
fluxionary(1748) Lond. Mag. June 255/2
The general ferment..in matter, whereby all bodies are..disposed to undergo those fluxionary changes necessary to their generatio n, growth and corruption. ''
fluxionary(1826) De Quincey in Blackw. Mag. XX. 738
Appearances..which, by their very essence, are fluxionary, become unnatural when fixed and petrified. ''
fluxionary(1841) Blackw. Mag. XLIX. 416
All other wealth was fluxionary.''
fluxionist(1734) Berkeley Analyst Qu. 43
Whether an Algebraist, Fluxionist..or Demonstrator of any kind can expect indulgence for obscure Principles? ''
fluxionist(1816) tr. La Croix's Diff. &. Int. Calc. 620
The best argument of its utter insufficiency..is derived from the practices of the fluxionists themselves.''
founder (1818) Sporting Mag. II. 171,
I agree with the French writers that the founder is a fluxion.''
ghost (1819) G. Peacock Flux. &. Diff. Calc. 20
To represent a fluxion as the limit of the increment..is to reduce it..in the language of Berkly, to the ghost of a depa rted entity. ''
hyperbolic(1743) Emerson Fluxions 97
The Fluxion of any Quantity divided by that Quantity is the Fluxion of the Hyperbolic Logarithm of that Quantity. ''
ichorescen(1684) tr. Bonet's Merc. Compit. vii. 256
Fluxions and Ichorescency of the Seed. ''
increment (1721) Bailey,
Increment, in Algebra, signifies the infinitely small increase of a line in Fluxions, growing bigger by Motion. ''
increment (1748) Hartley Observ. Man i. iii. 352
The Supposition that Fluxions are not Increments, but relative Nothings. ''
incrementa(1791) Waring Phil. Trans. LXXXI. 157
The same principles may be applied to the resolution of algebraical, fluxional, incremental, &.c. equations. ''
infinitesi(1704) Hayes Fluxions 1
These infinitely little Parts of an infinitely little Part of a given Quantity are..called Infinitesim&ae. Infinitesimarum or Fluxions of Fluxions. ''
infinitesi(1937) Mind XLVI. 227
Berkeley's penetrating criticism of the postulates of the fluxionists and infinitesimalists of his day.''
integratio(1837) Brewster Magnet. 173
A fluxionary equation..by the integration of which the curve may be constructed. ''
inverse (1807) Hutton Course Math. II. 279
The direct method [of fluxions] consists in finding the fluxion of any proposed fluent..; and the inverse method..consists in finding the fluent of any proposed fluxion. ''
irrational(1743) Emerson Fluxions 45
The Fluent of an irrational Fluxion may sometimes..be found by assuming an indetermin'd Series. ''
joint (1599) A. M. tr. Gabelhouer's Bk. Physicke 324/2
How we shoulde restrayne the fluxion of the Synnue, or *Ioyntewater. ''
maximum (1806) Hutton Course Math. II. 306
If we would find the quantity ax-x2 a maximum or minimum; make its fluxion equal to nothing. ''
method (1718-19) Phil. Trans. XXX. 923
A letter of M. l'Abb&eacu. Conti..concerning the dispute about the Invention
method (1727-41) Chambers Cycl., `
`Method, methodus, is more peculiarly used in mathematics for divers particular processes for solving problems.-In this sense we say Method of exhaustions..Method of fluxions..Method of tangents. ''
moment (1743) Emerson Fluxions 3
The Moments and Fluxions ought not to be confounded together, since the Moments..are as different from the Fluxions, as any Effect is different from its Cause.''
nascent (1706) W. Jones Syn. Palmar. Matheseos 226
These Fluxions..are in the First Ratio of their Nascent Augments. ''
negative (1798) Hutton Course Math. (1807) II. 282
The fluxion of any negative integer power of a variable quantity. ''
of (1807) Hutton Course Math. II. 281
We may also derive the fluxion of any fraction, or the quotient of one variable quantity divided by another. ''
one (1656) Stanley Hist. Philos. v. (1701) 162/1
Nothing is one, constant, nor the same, because all things are in continual alteration and fluxion. ''
order (1743) Emerson Fluxions 3
In any Fluxionary Equation, a Quantity of the first Order is that which has only one first Fluxion in it; a Quantity of the second Ord er has either one second Fluxion or two first Fluxions: Quantities of the third Order, are third Fluxions, product of three first Fluxions, product of a first and second Fluxion, etc. ''
ordinate (1706) Ditton Fluxions 31
'Tis required to find the relation of the Fluxion of the Ordinate to the Fluxion of the Abscisse. ''
perlite (1879) Rutley Study Rocks xi. 183
Showing that the perlitic structure had no existence when the rock was in a state of fluxion. ''
petrograph(1882) Geikie in Nature XXVII. 26/1
What is known to petrographers by the name of `fluxion-structure'.''
pilotaxiti(1888) F. H. Hatch in Teall Brit. Petrogr. Gloss.,
Pilotaxitic, the name given by Rosenbusch..to a holocrystalline structure especially characteristic of ce rtain porphyrites and basalts. The groundmass of these rocks consists essentially of slender laths and microlites of felspar in felted aggregation, and often presents fluxion phenomena.''
power (1743) Emerson Fluxions 25
If any Term be divided by the first Power of the variable Quantity; then the Fluxion of that Term must be found by itself thus. '' < /td>
proud fles(1597) A. M. tr. Guillemeau's Fr. Chirurg. 50 b/2
Aboue the ordinary fluxions, therin engendreth proude fleshe. ''
put (1743) Emerson Fluxions 129
Put these Equations into Fluxions. ''
rectificat(1823) J. Mitchell Dict. Math. &. Phys. Sci. 413/2
It is..to the doctrine of fluxions that we owe the complete rectification of curve lines, in finite terms . ''
redintegra(1801) Encycl. Brit. (ed. 3) Supp. II. 395/2
Redintegration, is the taking or finding the integral or fluent again from the fluxion.''
reduce (1743) Emerson Fluxions 82
The given Fluxion may be reduced to another Expression. ''
refluxion (1635) Swan Spec. M. vi. §.2 (1643) 202
The next..question propounded, was concerning the fluxion and refluxion of the sea. ''
residual (1801) Encycl. Brit. (ed. 3) Suppl. II. 401/1
Residual analysis, a calculus proposed by the inventor, Mr. Landen, as a substitute for the method of fluxions. [Account follows.] ''
resulting (1743) Emerson Fluxions 145
Put the Equation of the Curve into Fluxions, and the resulting Equation into Fluxions again. ''
retrogress(1704) Hayes Treat. Fluxions vi. 153
The use of Fluxions in Investigating the Points of contrary Flexion and Retrogression of Curves. ''
ripe (C. 1550) H. Lloyd Treas. Health a iij, `
`Horsnesse, and continuall fluxion of snevil in old men, do in no means waxe rype. ''
summary (1805) James Milit. Dict. (ed. 2),
Summary arithmetic, the art of finding the flowing from the fluxion.''
summatory (1704) C. Hayes Treat. Fluxions 60
The fundamental Rule in Summatory Arithmetick, to find the Flowing Quantity of a given Fluxion. ''
summatory (1710) J. Harris Lex. Techn. II,
Summatory Calculus, according to some, is the same with the Calculus Differentialis of Leibnitz; but more properly Summator y Arithmetick, is the Art of finding the flowing Quantity, from the Fluxion.''
term (1743) Emerson Fluxions 38
If a Series be required to be express'd in Terms of that Quantity whose 2d, 3d Fluxion, &.c. is in the Equation. ''
trachytoid(1885) Geikie Text-bk. Geol. ii. ii. v. (ed. 2) 110 note vii. 137
Two leading types of structure are recognised by these authors among the eruptive rocks. 1 . Granitoid... 2. Trachytoid, distinguished by a more marked contrast between the crystals of the first and second consolidation, the usual presence of an amorphous magma, and the fluxion structure.''
transform (1743) Emerson Fluxions 22
To transform the Fluxion.., assume [etc.]. ''
transforme(1743) Emerson Fluxions 29
Proceed thus till the transform'd Fluxion be as simple as possible. ''
transmutat(1743) Emerson Fluxions i. 53
The 21st and all the following Forms relate to the Transmutation of Fluxions.''
trinomial (1743) Emerson Fluxions i. 83
The Fluents of the Trinomial or compound Binomial Fluxions. ''
'unfixable (1832) Coleridge Self-knowledge 7
Dark fluxion, all unfixable by thought.''
untractabl(1743) W. Emerson Fluxions 85
If you have an untractable Fluxion that will answer to none of the Forms. ''
uplying (1884) Nature 25 Sept. 530/1
In up-lying situations,..fluxion-structures are seldom detected.''
variable (1710) J. Harris Lex. Techn. II,
Variable Quantities, in Fluxions, are such as are supposed to be continually increasing or decreasing; and so do by the moti on of their said Increase or Decrease Generate Lines, Areas or Solidities. ''
variation (1743) W. Emerson Fluxions 3
The Velocity, Variation, or Quickness of Increase (or Decrease) of any Fluxion is called the second Fluxion. ''
varice (1541) R. Copland Galyen's Terap. 2 F j,
Bycause of the rotten blode, or varyce (that is to say a tumyde vayne) that causeth the fluxion. ''
velocity (1743) W. Emerson Fluxions 2
He will find some to increase faster, others slower; and consequently that there are comparative Velocities (or Fluxions) of Inc rease during their Generation. ''
vinculum (1710) J. Harris Lex. Techn. II,
Vinculum, is a Term in Fluxions, implying that some compound surd Quantity is multiplied into a Fluxion, &.c. ''
vinculum (1743) W. Emerson Fluxions 24
The fluxionary Part may be divided by the Fluxion of the Root (or Part under the Vinculum). ''