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Ceremonies, made an Atonement
I them  from  their Sins.
he Heathens, was a Purification
ilhing of a Crime.
divers Ceremonies: The mofl
ABLUTION.
n'd for whole Cities, as well as


partElcua rer.ium.
After the young Horatias had been      abiolved by the
People from  the Murther of his Sifter * he was further pu-
rified by the feveral Expiartions prefcribed by the Laws of
the Pontifices for involuntary Muirthers. Halicarnafs.
EXPILATION, in the Civil Law, the AEE of Wfith-


drawfing, or diverting any Thing belonging to an Inheri-
tance, before any Body had declared himfeif Heir thereof.
This made a peculiar Species of Theft:     For there
cou'd not properly be a Theft in taking a Thing not por-
fefs'd by any Body ; or ere the Inheritance was accepted.
For this Reafon, the Roman Legiflature introduced the
Adion of Expilation, for the Punifhment of this Crime.
EXPIRATION, in Medicine, that Motion in an Ani-
mal, whereby the Air, infpired into the Lungs, is expell'd,
or thruff out of the fame, and the Cavity of the Bread
contracted. See LUNGS.
Refpiration confifis of two alternate Motions, or' Afions
of the Lungs, correfponding to thofe of a Pair of Bel-
lows;   nfpiraion, whereby the Air is drawn in; and
Expiration, whereby 'tis driven out again.  See REsPi-
RATION.
By Means of this Alternation, the Circulation of the
Blood, and the Motions of the Heart are maintained. See
CIRCULATION and HEART.
EXPIRATION, is alfo ufed figuratively, for the End of
a Term of Time granted, agreed on, or adjudged. ---'Tis
not above eight Days, till the Expiration of the Term
of his Imprifonment. The Term of fuch a Bill of Ex-
change is expired, i. e. it is fallen due. See BILL.
EXPLICIT, in the Schools, Something clear, diffina,
formal, and unfolded.--- The Will, Intention, &c. is faid to
be Explicit, when 'tis fully explain'd, in proper Terms;
and implicit, when 'tis only learnt by Dedudfions and
Confequences.
The Yews had not all an Explicit Knowledge of Jefus
Chriff, but they had at leafl an implicit one.
Such a Teflator has declared his Will explicitly, i. e.
in formal Terms 5 -there   no need--to have Recourfe to
Explications.
EXPLOSION, in Phyficks, the Adion of a Thing that
drives another out of the Place it before poiTefs'd.
The Term is chiefly ufed for the going off of Gun-
Powder, and the Expulfion of the Ball, Shot, or the like
Confequent thereon. See GuN-PoWDER.
Hence the Word comes likewife to be figuratively ufed
to exprefs fuch fudden Attions of other Bodies, as have=
fome Refemblance thereto; as thofe which ferment with
Violence, immediately upon their Mixture, and occafion a
crackling Sound.
Some Writers have likewife applied it to the Excurfions
of the Animal Spirits, and inflantaneous Motions of the
Fibres, arifing without the Direftion of the Mind; but the
Term then becomes too figurative to exprefs any determinate
Idea, fo as really to inform the Underflanding.
EXPOLITION, in Rhetoric, a Figure, whereby we
explain the fame Thing in different Phrafes and Expref-
fioni, in order to fhew it more fully
Expolition was the favourite Figure of   Balzac --- A
Man, but moderately verfed in the     Style of Scripture,
will perceive that this is no more th   an aExpolition 5
that is, a Figure whereby the facred Author explains the
fame Thing in different Terms.  The Scriptures are full
of fuch Figures i and I fcarce think there is any one
more ordinary. Souciet.
EXPONENT, in Arithmetic, or ExpoNENT of a
Sower, the Number which expreffies the Degree of the
Power- or which Ihews how often a given Power is to
be divided by its Root, ere it be brought down to Unity.
See POWER.
Thus the Exponent of a Square Number is      ; of a
Cube   ,: The Square being ia Power of the fecond De-


gree; the Cube of the third, Uc.
EXPONENT) is alfo ufed in Arithmetic, in the fame
3enfe with Index, or Logarithm.
Thus a Series of Numbers ,in Arithmetical Progrefinon,
being placed under another Series in Geometrical Pro-
lrefon, are call'd the Exponents, Indices, or Logarithms
thereof. See INDEX.
E. gr. In the two Progeffions,
Geom.   r, 2, 4, 8, id, 32,, 64, 128, 256, 51I
irish. O, I, It  3, 4, 5, 6,    7,   8,    9
c is the Exponent, LIdex, or Logarithm, of the firt
TMINz 5 that of the 61.' 32, &c.


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Hence, Vnity is to the Exponent of the Powr as thd
LogariAm   of the Root, to the Logarithm of its Power:
Confequently, the Logarithm  of the Power is had, by
multiplying the Logarithm of the Root by its Exponent;
and the Logarithm of the Root is had, by dividing the
Logarithm of the Power by its Exponent. See LeoA-
RITHM.
EXPONENT of a Ratio, is the Quotient arifing upon a
Divifion of the Antecedent by the Confequent.-cThus, in
the Ratio 3 to z, the .Exponent is I l and the Exponent
of the Ratio 3 to 2, is -. See RATIO.
Hence, io. If the Confequent be Unity, the Antecedent
is the Exponent of the Ratio. E. gr. The Exponent of
the Ratio 4 to I, i 4. And again: The Exponent of a
Ratio is to Unity, as the Antecedent to the Confequent.
2f. Since, in a rational Ratio, the Eiponent of the
Ratio is had by dividing a rational Number by another
rational 7 the Exponent of a rational Ratiot is a rational
Number.
EXPONENTIAL Calculus, or Calculus EXPO1vENTIA-
LIS, is the Method of differencing Expozential Quantities,
and of fumming up the Diff*rentials of Exponentials4
See CALCULUS.
EXPONENTIAL Curve, is that defined by an Exponen-
tial Equation --- Tranfcendental Curves partake both of
the Nature of Algebraic and Tranfcendent ones ; Of the
former, becaufe they confift of a finite Number of Termsf,
tho' thofe Terms themselves are indeteterminate; and of
the latter, becaufe they cannot be Algebraically coa-
firuded. See CURvE.
EXPONENTIAL Equation, is that wherein there is aft
Exponential Quantity;   call'd a1io a I'ranfcendental
Equation, and by fome, a Geometrical Irrational, See
EQUATION, TRANSCENDENTAL, OC.
EXPONENTIAL Euantity, is a Power whofe Exponent
is an indeterminate, variable, or flowing Quantity.  See
QUANTITY.
Exponential Quantities are of feveral Degrees and,
Orders; when the Exponent is a ftmple indeterminate
Quantity, it is call'd an Exponential of the firfi or lowef
Degree.
When the Exponent it felf is an Exponential of the
firfil Degree, then the Quantity is an Exponential of the
fecond Degree.
Th~s z y is an Extponential of the Airfl Degree, be-
x
caufe the Quantity y is a fimple flowing Quantity. But zY
is an Exponential Quantity of the fecond Degree ; be-
caufe y x is an Exponential of the firfl: Degree. So alfo zY
is 'an Exponential of the third Degree, the Exponent yx
being one of the fecond.
EXPORTATION, in Commerce, the Ad of fending
Commodities out of one Kingdom     into another.  See.
COMMERCE.
The Merchandizes yearly Exported from England are
immenfe. --- The principal Articles are Corn, Cattle; Cloth$
Iron, Lead, Tin, Leather, Coal, Hops, Flax, Hemp, Hats%
Malt Liquors, Filh, Watches, Ribbands, &Sc.
The Woollen Manufadure alone, yearly Exported, is
computed to amount to zocoooo Pound Sterling; and
Lead, Tin, and Coals, 5o0o00  Pound. See WOOLLEN.
Wool, Fullers Earth, Uc. are contraband Goods, i. e,
prohibited to be exported. See CONTRABAND.
For the Duties of Exportation. See DUTY.*
EXPOSING, the fPtting a Thing to publick View.
Perjury, Forgery, Libelling, falfe Weights and Meafuires
are punilh'd, by Expofing the Criminal in the Pillory, to
the Derifion of the People. See, PIttoRY.
In the 'Romifb Church, the Sacrament is faid to bc
Expofed, when 'tis fhewn in public, uncover'd, on Feflival
Days, and during the Time of plenary Indulgences.
The Term is alfo ufed with a further Laitude: Thus,
we fay, 'tis prohibited to Expofe falfe, or clipp'd Money.
Children are Sometimes Expofed in the Streets; i; e.
are left in the Streets, with Defign to be loft. --- Such a
Houfe fands very high, and has a delicious Profped, but
it is expofed to all the Four Windt. Such a City being
on the Frontiers, and not fortified, is Expofed to the In-
fults of every Party of Forced
EXPOSITION, the Atd of ExjoJ1zg.--- tur the Termit
has a further Meaning; being Fikewife applied to the
;Interpretation, or Explication of an Author, or a Paage
therein.
Thus we fay, an Expoftin of the 39 Article, o tle
Lord's Prayer, &c. In which Senfe we do not fay Eq ;
but FE~cpouding. See ExposuRE.
t  EXPOSITOR, or E.XPOSITORY, a Title fome Critert
I ave given to a little Kind of  idtionaries, or Vocabo-
Gga *aI lari


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