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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 184, page id 1677894601:0376
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180
PROP. VII. THEOR. V.
Si pro C L FZn ( 87 2n  _C. TCribatUT R ut TUPEa, X
in Currae alicujus Ordinata 20Ln0 R. Lr maneant
quantitates datae o, n 2, C, F, S, EC. _x PFO0 dC x TCTI-
bantur successire numeri quicunq; inteori: et I
detur area unius ex C urris quae per Ordinatas in-
numeras sic prodeuntes detignantur s Ordinatae lunt
duorum nominum in vinculo radicis, vel s dentur
area duarum ex Curvis si Ordinatae Cunt trium nO-
minum in vinculo radicis, vel areae trium ex C urris
E Ordinatae Cunt quatuor nominum in vinculo radi-
Cis, e lic deinceps in intinitum: dico quod dabun-
TUE arCa Curvarum omnium. Pro nominibus hic
habeo terminos omnes in vinculo radicis tam de-
ficientes quam plenos quorum indices dignitatum
Tunt in prooressione arithmetica. Sic ordinata
Va+ aX3 , Xt Ob terminos duos inter 24e - a73
deticientes pro quinquinomio haberi debet. AF
Vat) xa binomium est Xc Va+ ] X1  trinonium.
cum progressio jam per majores differentias proce
dat. Proposiio vero sic demonstratur.
C AS.
Sunto Curalum cuaum Ordinatae prP.  R  1 8
7Ini RVI, X areae pA et gB, existente R quanti-
tate trium nominum c.fru- gren. Ft cum per
Prop.