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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 188, page id 1677894601:0380
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C AS. IV.
Et simili aurmento si ordinata constat ex qua-
cuor nominibus in vinculo radicali e dantur treS
arearum, vel si constat ex quinqe nominibus e
dantur quatuor arcarum, et sic deinceps: dabun-
tUI arex omnes quae addendo vel subducendo nume-
rumn indici d vel unitatem indici n generari poltunt.
Et par est ratio Currarum ubi ordinatae ex binomiis
conslantur, et area una carum quae non sunt geome-
trice quadrabiles datur. . F. O.
eROP. VIII. TH F. OR. VI.
Si prOC  Frn -]- 972n -) XxC. eE K f 17n- ] 1n2 2n. ]-XC.
icribantur R X S ut supra, ec in Currae alicujus Or-
dinata 2 Ino RVF Sul maneant quantitates datae 0,
n ng H C, Cg 39 tu lu M _C. _ prO~, r, _ v, Teri-
bantur successire numeri quicunq; intesei: e s
dentur arex duarum ex curris quae per ordinatas
Sc prodeuntes desionantur E quantitates R _S funt
binomia, vel Ei dentur areae trium ex curris R R
e S conjunetim ex quinq; nominibus constant, vel
areae quatuor ex curris E R SS conjunctim ex (ex
nominibus constant, e sc deinceps in intinitum:
dico quod dabuntur areae curvarum omnium.
Demonstratur ad modum Propolitionis luperioris.
Lll2.