C G M 
The caufe or fubjctt of complaint; grief —The poverty 
of the clergy in England hath been the complaint of all 
who with well to the church. Swift. —A malady; a dil- 
eafe.—One, in a’ complaint of his bowels, was let blood till 
he had fcarce any left, and was perfectly cured, Arbuthnot. 
■—Remonftrance again ft; information agaiplt.—Againft 
the geddefs thefe complaints he made. Drjdcu. 
In evil ftraight this day I Hand 
Before my judge, either to undergo 
Myfelf the total crime, or to accufe 
jVIy other felf, the partner ftf my life ; 
Whofe failing, while her faith to me remains, 
1 fhould conceal, and not expofe to blame 
By my complaint , but Uriel neceffity 
Subdues me, and calamitous conflraint. Milton. 
COMPLAISAN'CE, /. \_complaifance, Fr.] Civility; 
defire of pleafmg; a£l of adulation.—You mull alfo be 
induftrious to difcover the opinion of your enemies; for 
you may be affured, that they will give you no quarter, 
and allow nothing to coniplaifar.se. Drydcn. 
Fair Venus wept the fad difafter 
Of having loit her fav’rite dove : 
In complaifance poor Cupid mourn’d ; 
Iiis grief reliev’d his mother’s pain. Prior. 
C’OMPLATSA'NT, adj. \complaifant, Fr.] Civil; de- 
firous to pleafe : 
There are to whom my fatire feems too bold ; 
Scarce to wife Peter complaifant enough. 
And feme thing faid of Chartresmuch too rough. Pope. 
COMPLAISANT'LY, adnj. Civilly; with defire to 
pleafe ; ceremonioufly: 
In plenty ftarving, tantaliz’d in ftate, 
And complaifantly help’d to all I hate ; 
Treated, carefs’d, and tir’d, I take my leave. Pope. 
COMPLAISANT'NESS, f. Civility ; compliance. 
To COMPLA'NATE, or to Complane, v. a. [from 
planus, Lat.] To level; to reduce to a flat and even fur- 
face.—The vertebras of the neck and back-bone are made 
fliort and complanated, and firmly braced with mufcles. 
Derbcnn. 
COMPLE'AT. See Complete. 
COM'PLEMENT, f. ^complementurn, Lat.] Perfection; 
fulnefs; completion; completement.—For a complement 
of thefe blellings, they were enjoyed by the protection of 
a king of the molt hannlefs difpofit’iQn, the molt exem¬ 
plary piety, the greateft fobriety, chaftity, and mercy. 
Clarendon .—The fenfible nature, in its complement and in¬ 
tegrity, hath five exterior powers or faculties. Hale. — 
Complete fet; complete provifion; the full quantity or 
number: 
The god of love himfelf inhabits there, 
With all his rage, and dread, and grief, and care; 
His complement of Itores, and total war. Prior. 
Adfcititious circumftances; appendages; parts not necef- 
fary, but ornamental: whence ceremony was called com¬ 
plement, now corrupted to compliment. —Thefe, which have 
laftly fprung up, for complements, rites, and ceremonies, of 
church adtions, are, in truth, for the greateft part, fuch 
filly things, that very eafinefs doth make them hard to be 
dilputed of in ferious manner. Hooker. 
A doleful cafe defires a doleful fong, 
Without vain art or curious complements. Spenfer. 
Garnifh’d and deck'd in modeft complement, 
Not working with the ear, but with the eye. Shakefpeare. 
Complement of an arch or angle , as of 90 0 or a qua¬ 
drant, is what any given arch or angle wants of it; fo 
the complement of 50 0 is 40 0 , and the complement of 
100 degrees is —io°, a negative quantity. The comple¬ 
ment to xSo° is uliially called the fupplement, to diftin- 
guifli it from the complement to 50°, properly fo called. 
Vol IV. No. 247. 
C O M S97 
The fine of the complement of an arc, is contracted into 
the word coline; the tangent of the complement into co¬ 
tangent, &c. 
Arithmetical Complement, is what a number or loga¬ 
rithm wants of unity or 1 with fome number of ciphers. 
It is belt found, by beginning at the left-hand fide, and 
iubtraCting every figure from 9, except the laft, or right- 
hand figure, which mb ft be fub traded from 10. So, the 
arithmetical complement of the logarithm 9" sizy/iq., 
by fubtrading from 9’s, &c. - is o'46yoi86. 
The arithmetical complements are much ufed in opera¬ 
tions by logarithms, to change fubtraftions into additions, 
which are more conveniently performed, efpecially when 
there are more than one of them in the operation. 
Complement, in aftronomy, is ufed for the difiance 
of a ftar from the zenith ; or the arc contained between 
the zenith and the place of a ftar which is above the hori¬ 
zon. It is the fame as the complement of the altitude, 
or co-altitude, or the zenith diftance. 
Complement of the Courfe, in navigation, is the quan¬ 
tity which the courfe wants of 90 0 , or eight points, viz. 
a quarter of the compafs. 
Complement of the Curtain, in fortification, is that 
part of the anterior fide of the curtain, which makes the 
demigorge. 
Complement of the Line of Defence, is the remainder 
of that line, after the angle of the flank is taken away. 
Complements of a Parallelogram, or in a P arellelogram , 
are the two lefler parallelograms made by drawing tw<» 
right lines parallel to each fide of the given parallelogram, 
through the fame point in the diagonal. 
Complement of Life, a term much ufed, in the doc¬ 
trine of Life Annuities, by De Moivre, and, according 
to him, it denotes the number of years which a given life 
wants of eighty-fix, this being the age which he confi- 
dered as the utmoit probable extent of life. So fifty-fix 
is the complement of thirty, and thirty is the complement 
of fifty-fix. That author llippofed an equal annual de¬ 
crement of life through all its itages, till the age of eighty- 
fix. Tiius, if there be fifty-fix perfons living at thirty 
years of age, it is fuppofed that one will die every year, 
till they be all dead in fifty-fix years. This liypothefis in 
many cafes is very near the truth ; and it agrees fo nearly 
with Halley’s table, formed from his obferyations of the 
mortuary bills of Breflavv, that the value of lives deduced 
either from the hypothefis, or the table, need not be diftin- 
guifhed ; hence it very much cafes the labour of calcu¬ 
lating them. 
COMPLE'TE, adj. \_completus, Lat.] Perfect; full; 
having no deficiencies.—And ye are complete in him which 
is the head of all principality and power. Coloff. ii. 10. 
Then marvel not thou great and complete man. 
That all the Greeks began to worfhip Ajax. Shakefpeare. 
Complete, having no degrees, cannot properly admit more 
and mojl —If any difpofition fhould appear towards fo 
good a work, the afilftance of the legiflative power would 
be necelfary to make it more complete. Swift. —Finifhed; 
ended: concluded: 
This courfe of vanity almoft complete, 
Tir'd in the field of life, I hope retreat. Prior. 
To COMPLE'TE, <v. a. To perfect; to finifh: 
To town he comes, completes the nation’s hope, 
And heads the bold train’d-bands,and burns a pope. Pope. 
COMPLE'TELY, ad-v. Fully; perfectly.—Whatever 
perfon would afpire to be completely witty, fmart, humou¬ 
rous, and polite, mult be able to retain in his memory 
every fingle fentence contained in this work. Swift. 
Then tell us, how you can your bodies roll 
Through fpace, of matter fo completely full ? Blacbnore. 
COMPLE'TEMENT, f. [from completement, Fr.] The 
a£t of completing.—Allow me to give you, from the heft 
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