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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 172, page id 1677894601:0364
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PROP. I. PROB. I.
Data aequatione quotcunqu fluentes quantitates indol
vente, invenire sluxiones.
Solutio.
Mulciplicetur omnis aequationis terminus per in-
dicem dignitatis quantitatis cujulq:e Auentis quam
involvit, ex in lingulis multiplicationibus mutetur
dignitatis latus in Auxionem Cuam, e 288rC9a-
tum factorum omnium sub propriis cenis exit
aequatio nOVa.
Explicatio.
Sunto a B, C, d 2c. quantitates determinatae _
immutabiles, e proponatur aequatio quaeris quan
citates Auentes 2, Y, Z Oc. involrens, uti X = Zy Y
 aa2 b =0. Multiplicentur termini primo per
indices dignitatum x, e in singulis multiplication-
Dus pro dignitatis latere, seu x unius dimentionis,
Scribatur Z, _ Cumma Lactorum erit z X X- Xy y. Idem
trat in y a prodibit- XVY. Idem Aat in 2 X prO-
dibit a a2. Ponatur cumma Factorum aequalis ni
hilo, _ habebitur aequatio 3XX -- Xy y - 2Xy y
F222 =0. Dico quod hac aequatione detinitur se-
latio Auxionum.