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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 181, page id 1677894601:0373
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=373
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# Lines: 38 recognised, mean confidence 0.84
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F18T7
ponendum est pro R X Potestatis index 2 vel 3 vel 4
negatire sumptus pron. Xt Ordinata ad denomina.
TOrem R. vel R. vel R. vel REC. reducenda.
25 ]24 - 523- 22 ]82- 43 GuOniam MaeC
UER Ordinata (IE -25. + 24 - 823
Fractio irreducibilis est e denominatoris dirilores
Tunt pares, nemPC Z- I, 2 L, 2 1 _ 7.  , 2,
2.. F2, rejicio magnitudinis utriulque dirilorem
unum e reliquorum 2-- 1, 2 1, 2-) 2 conten
tum 23=32  2 DONO prO R _ ejus quadrati re-
CiprOCUM P PeU R -2 PrO R.=. Dein Ordina
tam ad denominatorem R TCu R- reduco, 8 Ft
6.
37
81
Id CA 23X8 - 92 - . 23X 2 = 32.
73 = 37 - - 2) quad.
Ft inde eA a = 8. b -- -9. c = = 0. d - - 1, XC
. 5 = O. H = 1. 2 2 = - 2. a = -- F-
B
C = 2. F = -
n = 1. B - 1 = 3. 0 = 4 = F. 5 = 3. t = 2. V = T. FF H15
222 terminis om-
nibus in tota serie post primum cranescentibus.
Si denig; Ordinata est Fractio irreducibilis ee ejus
denominator contentum est sub factore rationali 
e factore surdo irreducibili R, inveniendi sunt la-
Teris R dirilores omnes primi, ex rejiciendus est. di-
vicor unus maenitudinis cujulque e per dirilores
qui restant, siqui sint, multiplicandus est factor
racionalis 2: _ E Factum aequale est lateri R vel
lateris illius potectati alicui cujus index eA numerus
integer, eAto index ille m, e erit a -1 = - r - I, 8
34 - 4+ X- ] 99. XX- 99X3, 6974
R  =R r. m. UF Si Ordinata 
24 - L X cub. 93- ] 495 -. qXX - x
quoniam