RES 
7 
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who was obliged to reside on his lord’s land, and not to 
depart from the same, called also homme levant and couchant, 
and in Normandy resseant du fief. 
« Quantumque de aliis teneat, ei magis obnoxius est; et 
ejus residens esse debet, cujus legius est.” Leg. H. I. 
RESIDENTIARY, adj. Holding residence.—Christ was 
the conductor of the Israelites into the land of Canaan, and 
their residentiary guardian. More. 
RESIDENTIARY, s. One who beeps a certain resi¬ 
dence.— Residentiaries in any cathedral or collegiate church 
shall, after the days of their residency appointed by their 
local statutes or customs expired, presently repair to their 
benefices. Const, and Canons Eccl. 44. 
RESI'DER, s. One who resides in a particular place.— 
We being persons of considerable estates in the kingdom, 
and residers therein. Swift. 
RESI'DUAL, or Resi'duary, adj. [residuum , Lat.] 
Relating to the residue; relating to the part remaining. 
—"’Tis enough to lose the legacy, or the residuary advan¬ 
tage of the estate left him by the deceased. Ay life. 
RESIDUAL Analysis, is a branch of algebra invented 
by Landen, and applied to the solution of those problems 
usually solved by means of the differential and integral cal¬ 
culus, or the direct and inverse method of fluxions; by 
which he thought to avoid the objections generally made to 
the new calculus under either of the above forms. With re¬ 
gard to the fluxional process, he thought it more free from 
objection than the differential calculus; although many im¬ 
portant ones might be discovered in it. However natural, 
says the author, it may be, in certain problems, to consider 
such magnitudes as enter therein, to be generated by motion, 
it seems very unnatural to bring motion into consideration 
in the solution of questions purely algebraical. Nor does it 
seem natural in the solution of problems concerning the 
motion of bodies, to superinduce imaginary motions, and 
thereby bring into consideration the velocity of time, the ve¬ 
locity of velocity, &c.; nor yet does it appear more natural, 
in the' resolution of other problems, to make use of the fluxion- 
ary method, when (as is most commonly the case in that 
doctrine) the fluxions introduced into the process can, only 
in a figurative sense, be said to be the velocities of increase of 
the quantities called their fluents; such figurative expressions 
not being the natural language of analytics, but frequently, 
instead of conveying clear and distinct ideas, are confusedly 
employed in treating of quantities as generated by motion, 
which in reality cannot be conceived to be so generated. 
That these are legal objections to the doctrine of fluxions we 
are not disposed to deny ; but it is now generally admitted, 
that the defect of the fluxionary calculus is by far less than 
that which has place in the residual analysis, which M. Lan¬ 
den was desirous of substituting for it. Indeed, we believe 
its defects were so obvious, that few, if any, mathematicians 
were induced to make it the foundation of any of their inves¬ 
tigations; and it would, therefore, be useless for us to occupy 
our pages in explaining the principles on which the author 
rested his calculus. We shall, therefore, merely observe, that 
in this analysis, a geometrical or physical problem is reduced 
to another purely algebraical; and the solution is then ob¬ 
tained without any supposition of motion, and without 
considering quantities as composed of infinitely small par¬ 
ticles. 
Residual Figure, in Geometry, the figure remaining 
after subtraction of a lesser from a greater. 
Residual Root, is a root composed of two parts or mem¬ 
bers, only connected together with the sign-—. 
Thus, a — b, or 5—3, is a residual root; and is so called, 
because its true value is no more than its residue, or differ¬ 
ence between the parts a and b, or 5 and 3. 
RE'SIDUE, [ residuum , Lat.] The remaining part; 
that which is left.—The causes are all such as expel the most 
volatile parts of the blood, and fix the residue. Arbuth- 
not. 
To RESIE'GE, v. a. To seat again. 
To RESI'GN, v. a. [ resigno , Lat.] To give up a claim 
or possession. 
Resign 
Your crown and kingdom, indirectly held. Shakspeare. 
To yield up. 
Desirous to resign and render back 
All I receiv’d. Milton. 
Those, who always resign their judgment to the last man 
they heard or read, truth never sinks into those men’s minds; 
but, cameleon-like, they take the colour of what is laid be¬ 
fore them, and as soon lose and resign it to the next that 
comes in their way. Locke. —To give up in confidence: 
with up emphatical.—What more reasonable, than that we 
should in all things resign up ourselves to the will of God. 
TJllotson. —To submit; particularly to submit to pro¬ 
vidence. 
Happy the man, who studies nature’s laws. 
His mind possessing in a quiet state, 
Fearless of fortune, and resign'd to fate. Dry den. 
To submit without resistance or murmur.—What thou 
art, resign to death. Shakspeare. 
RESI'GN, s. Resignation. Not in use. 
You have gain’d more in a royal brother. 
Than you could lose by your resign ofEpire. Beaum. andFL 
RESIGNATION, s. [resignation , Fr.] The act of re¬ 
signing or giving up a claim or possession. 
Do that office of thine own good will; 
The resignation of thy state and crown. Shakspeare. 
Submission; unresisting acquiescence.—There is a kind 
of sluggish resignation, as well as poorness and degeneracy 
of spirit in a state of slavery, that very few will recover them¬ 
selves out of it. Addison. —Submission without murmur to 
the will of God. 
RESI'GNEDLY, ado. With resignation. 
RESI'GNER, s. One that resigns. 
RESI'GNMENT, s. Act of resigning. 
Here lam, by his command, to cure ye, 
Nay more, for ever, by his full resignment. Beaum. and FI. 
RESILIENCE, or Resiliency, [resilio, Lat.] The 
act of starting or leaping back.—If you strike a ball 
sidelong, the rebound will be as much the contrary way; 
whether there be any such resilience in echoes, that is, 
whether a man shall hear better if he stand aside the body 
repercussing, than if he stand where he speaketh, may be 
tried. Bacon. 
RESILIENT, adj. [resiliens, Lat.] Starting or spring¬ 
ing back. 
RESILI'TION, s. [resilio, Lat.] The act of springing 
back; resilience. 
RE'SIN, s. [ resina, Lat.] The fat sulphurous parts of 
some vegetable, which is natural or procured by art, and 
will incorporate oil or spirit, not an aqueous menstruum. 
Those vegetable substances that will dissolve in water are 
gums, those that will not dissolve and mix but with spirits 
or oil are resins. Quincy. 
RESINA, a town of Italy, situated close to Portici, from 
which it is separated by the royal palace. It is built partly 
on the site of the ancient Herculaneum, and is a popu¬ 
lous place, containing 7800 inhabitants; 5 miles east of 
Naples. 
RESINAR, a small town of Transylvania, in the province 
of Hermannstadt, and the see of a bishop of the Wallachian 
Greek church. 
RE'SINOUS, adj.[resineux, Fr.] Containing resin; con¬ 
sisting of resin.— Resinous gums dissolved in spirit of wine, 
are let fall again, if the spirit be copiously diluted. Boyle. 
RE'SINOUSNESS, s. The quality of being resinous. 
RESIPI'SCENCE, s. [ resipiscentia, low Lat.] Wisdom 
after the fact; repentance.-—So powerful is the impression of 
a Divinity in human nature, that the most erring beliefs are 
forced to discern the utility, and the most perverted lives the 
necessity, of such a sovereign; who abounds with such 
benignity even towards these irritations, that he provides 
motives 
