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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0679
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WVADRANGLE, Or Ouadransu LGurC, in
DTIADRANE, is an Arch which is the FOUECI
Parr oF a Circle, ConratS 9 st. LIIe 
in che Centre ot che Circle, i5 called a Duadrant
From the Fisure os Wwhich che Follorins Instrument
Fates ES natme, Which is called a
Ouadrant, alset is 2 ters etus aet LCaus LIIICIU
ment, wohen Well made, tor many Operations. The
Limb ot ir is dirided into 60 Degrees, and a5ma-
nY Parrs OF a Dcgree as the bignels ot the Instru-
ment ill bear, and this by means oF a String and
ArkS ot ihe Linib, and are placed there in order ra
Meature Alticudes readity, tor ic will alvays be; 25
Radius ro che Tangent oF the Anele ot Alrirude
at the Place of Oblerration; (that iS, to the PAFES
DE the OnadeaE DE StracOWS CuF by The SErInO):
S0 is the distance Berween the Starion and FOOE OF
the Obieet ro irs heishr abore rhC Fy C.
Quadratick Equations.
OVADRATICK Equations, are sucti aS retain
on the untenomn Side, The (GuArE OE THC RODE OK
Number Coustr; and are oF rvO (OrtS.
L. Simple Ouadraticks, Where che Square oE the
Plumet, (or Label, iE ic be 2 scrued Limb) sires untnown RoOE is equal eo the absolure Number
rouche suns Alcirude, Or that oC any Scar or other siven, 25 a a == 36, e0 == 146, yy = 133225.
Objeet aboreche Florizon, rechoned tromthac edse
OE ehe Onadrant where ihe Sighus are nor placed.
And for che Solurion ot chole, there necds onty to
Exrract che (quare Roor our of che knovn Num-
In Collins Ouadrant, this Limb is also dirided into ber, and charis che Value oF the ROOF Or Ouantiry
Fime, and numbred accordinsly, and chen it serres Couphe: Thusche Value oE a in che First Lqua
very readily ro tind rhe Sunsrishe Alcention cither tion is equalio 6, inthe Sccond e = +2 and a licrle
in Degreesor Time, and ro Meu thelTour ot rhe more, it beins a Turd Roor. And in che Third Lix-
DayTherero a Mlinute, by his Alricude. NVexr 10 amplc y = 365.
the Limb, in Gunters Ouadrane, is the Calendar
ot theMonchs placed; bur in Collinsiris puc infour
lirele Ouodrantal Arts nexr che Centre oF the In-
TI. Adsected Ouadraticks, are such as have Be-
ereen che highest Porver of the untenown Number
strumene; havins an Ar alsooE the Suns Declina- and the absoluce Number giren, lome intermediare
rion ficred chereunro; Po char che Scrins laid ro the Porver ofche untnovn Number, 25 a a 1 2b a=
Dar oF the Monch, Wwill Mew che Declination; Or 200.
laid to the Declination, will sire che Day ot the. And ehis Equarion is properir called Aufected;
Monch, in che Ouadrancal Ark proper For char Sea. because rhe untnown R0or a is Mulciplied intothe
Pon oE che Tear. Nexe belo chis, in Mr. Collins CoeticienE 2 B
Ouadrane, (Wvhich L judre eo be the Best) is the
Projection, Whieh is a ath Paxt oF Scosslers Astrolabe,
inverted and Arted ro che Lacitude oF L ondon; OF
arhich chose Lines wrhich run from che Righe Lland
corards the Lefe are Parallels oF Alritude, and
chole which crolsthem are Azimuchs. In the PrO-
jection are drann che rvo Felipricks, wich che
The Oridinat ot Aasected L quations, the trcom
parable FTarrior thus derires: L et a be:
4
-1 - b, Or
cy tnen by Pransposirion will a -b:
and a =I c = 0. And chen Mulriplyins onc By
another, the Produet is a a = a b -I C a = b0
And this he proxeris calls an Original E quarion-
Characters oF the Siens uxon them, aud the rvo Erom wrhich, or ochers of che lame kind, Prans-
FIorizons, all issuins From che Tame Poine; and up
and donon in che Projection are placed such eminent
Fixcd Scars, a5 are betreen che Tropicks. NVCXE
belor che Projection is the Ouadrat and Line ot
Stradoms, beins only a Line oF Narural Pangents r0
posins bc orer ro the other lide with a contata
Sign, he gains such an Equation 25 this, a a
a b - c a = b c, vohiich tre calIS d Canonical F.-
quation.
And Fromhence, by purtins Fxamples in all C2.
che ArHs OE the Limb; and by irs help, cheheistus les, hethewrs, tharerery poltible ouadratick F qua-
oF Torvers, Scceples, (0c. may be preur exactiy
taken.
tion hath evo real RoorS, accordins to the Dimem
Sions ot the hichest Porver; as beins made ux by
ODADRANT os Altitude, iS Parr OF the Furni- che Mulripiication of cuvo Simple Rquations. And
ture os an Arcisicial Globe, beins a chin Brals Plare chat chele rvo RoOrs mar be cirher boch AFirm
dirided into 90 degrees, and markeed uprvards wich cire or boch Pegarire, aud chat lometimes they are
70, 20, 30, 690. being Rivetred ro a BraIS NTurr sequal ro cach other, and Pomerimes nOt. AnC
extrich is ficred cothe Meridian, and hach a Screu Eromhence hefinds, tharthe absolure Number b
in it, 2o screur upon any degree ol the Meridian: is alrays the Rectansle oF the evo ROOrS b and c,
wohen ic is ufed, ris most commonty seren d ro the (or of the ciro Values of a): And rharit ic hare 2
Zenith. Ies Dse is For meaturins Alcicudes, ro find
policire sien, che ruo Roors hare like Signs, buc it
Amplicudes and Azimuths, and describing Almi-a Negarire one, untikce.
CantarS.
Duadram.
e atet.
And, Tharthe Coefficient ofthemidole Ferm. is
alivays che AGerezate of both the ROOLS. with contrars
Siens; and consequently cheir Difference, whem
Withour is Sign. Sec more in his Second Section,
and in WV allis S Alzebra, P. 132, (30
And Woten in such kind oF Ouadraricks 25 chese.
unkenovn ROor are in Arichmacical Proporrion, tHaE
dtanc, are onty à Line ot natusal L’angenrs 10 che ) Index ot aa is 2, che Index 02 2 b a io 1, ane Me
Indem
Geometer, is chac Which consists bur oE Four
Aneles
times the space contained berreen a Ouadrantal
AFH aBd EIVO RLaCIUS PESPLHMICMCAE MM LO aNOCHEF
OVADLLANI Aptronomical, sec Astron
GVADRANT Triangular. Sec Triangum u
OOADRAMTAT Trianele, is a Spherick Tri-
and one. Angle Right
angle, one oF whose Sides (ac LeaCt) is a Ouadrane the Index or Fxponents oF che Dimensions oF rHC
NNADRAT, and Linc oF Stradons od a a o ab in this Equation, a a -I 2 b a = 100, che