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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 205, page id 1677894601:0397
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In Tabulis hisce, series Curvarum cujusq; Formae
utrinq; in intinitum continuari potest. Scilicet
in Pabula prima, in numeratoribus arearum FOr
mae tertiae e quarcae, numeri coefficientes initialium
TerminOrUM (2, - 4, 16, - 96, 868, XC.) Generan
tur multiplicando numerOS 2,- 4, - 6, -- 10, Xc.
in se continuo, _ suiblequentium terminorum coet
ficientes ex initialibus derirantur multiplicando
iplos gradatim, in Forma quidem tertia, Per - 3)
63.
53
33 = 6 eC. IA Guarta VeTO PeF - 5 4
53 10 exC. Ft Denominatorum coefficientes
3T5, 105, ec. Prodeunt multiplicando numeros
93,5, 7, 9, ec. in le continuo.
In secunda rero Tabula, series Currarum Formx
primae, secundae, quintae, sextae, nonae e decimae opC
Colius dirisionis, d formae reliquae ope Propolitio.
nis tertiae X quartae, utrinq; producuntur in in-
finitum.
Ouinetiam hae series mutando signum numeri,
variari solent. Sic enim, c. 8. C urva = VC ] F2n = y,
eracit 2n
eR OP. IZ. THTEOR. VIII.
Sit ADTC. Curra quaeris Abscillam habCHS Fig. 9
AB = Z _ Ordinatam BD=-Y, _ SIt AF RC. C UrVa
alia cujus Ordinata BF aequalis est prioris arcae
A B. C.