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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 178, page id 1677894601:0370
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C
E
denotant totas coefficientes datas terminorum sinsu-
lorum in serie cum signis (uis- ). _ nempe A primi
termini coefticientem nd B secundi coefficientem
b SFA
P -F 2, C
nC =, EB - t8A
C. tertii coetticientem
Sic deinceps.
F +
ee
Demonstratio.
Sunto suxta Propolitionem tertiam,
Currarum Ordinatae
221S AL2 31
19,A2318C.
DInFB = 21 181
an
..+
2in 6B23n ecC. 
. +D F3u, CD231_C. 3
_ carundem arca.
A 2 R
B2Dtn R2.
C. 78 I 2n R2
D= F3n R 2
Et E Cumma ordinatarum ponatur aequalis ordi-
natae a- ]- b71 -- C72n-) d23n- f XC. in 2d. R~ Tumma
arearUM ZR in A -) B7n ] - C 22n 1- D 3n -)- sEC. aequa-
lis erit area Currae cujus ista est ordinata. Aguen
tur isitur Ordinatarum termini correlpondentes, et
dtn FB
Aet a = DeA, b = +  CA  CB, C = + 2218 an
f. 6] 2n, CC. _C. _ inde se = A.
C= (B ]22nq SA -- D t rt an FB
D- ] 21C
BF an TA = B.
B. F 1,C
=C. Et sC deinceps in infi-
nitum
F
FmeBc
0