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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 180, page id 1677894601:0372
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P180
enm altera converset _ aream dabie approximando,
praeterquam ubi s (propter aream intinitam) vel
nihil est vel numerus integer ex negatirus, vel ubi=
aequalis est unitati. Si ZminOr eM unItate, CONVeF
set series in qua index naftirmatirus est: tin Z unita
te major est converoet series altera. In uno casu
area adjacet abscissae ad usq;e ordinatam ductae, in
altero adjacet abscissae ultra ordinatam producia.
Nota insuper quod s Ordinata contentum eA (ub
Factore rationali  e Factore surdo irreducibili R
_ Factoris Curdi latus R non diridit Factorem ratio-
nalem (; Crit a - T = - = _ RV =R. Sin FactOrIS SUT-
di latus R dividit factorem rationalem semel, crit
a  1 = = X -) - Y _ RA+ =R = 1.: si dividit bis, Cxit
a - 1 = -  - - 2 8C R ~. 1 =-R + 12: E teF, CFIt a--T = X - 39
_ R~ 1 = -Rr 13. X SC deinceps.
Si Ordinata est Fractio rationalis irreducibilis ce
Denominatore ex duobus vel pluribus terminis com
Posito: relolvendus est denominator in divilores
Luos omnes primos. Et C dirisor st aliquis cui
nullus alius est aequalis, Curra quadrari nequit:
Sin duo vel plures sint dirilores aequales, rejicien
dus est corum unus, ∞ s adtuc alii duo vel plures
sint sibi mutuo aequales _ prioribus inaequales, ic
sciendus est etiam eorum unus, et sic in aliis omni-
Dus aequalibus s adhuc plures lint: deinde divilor
qui retinquitur vel contentum lub diriloribus omni-
bus qui relinquuntur, si plures Cunt, ponendum est
DTO R, E ejus quadrati reciprocum R = pFO RV, PPa
terquam ubi contentum illud est quadratum vel cu
bus vel quadeato quadratum, eEc. Quo ca lu Cjus latus
POHCI.