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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 166v, page id 00068199:0332
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aadu = Xx dx + yy dy sit y = a  O:  X = a D: 8 dy = a, 7 d0- 0 d E: 98
proestat sic
et dx = a, E d D - Dd4,: 88 et dy: dx = 9dD- ∞d:, pdD - Dde, unde tandem
fiet (3+0- 099d _ aC a 79 auo Cvata
N = 004 dv - 10Dd8 + na DD8dD - aa D DDde
si sit X g= O et _ si esset _ = B   0+96: a et X = D 196: a
fet Ly = dC) 195 + 0 d46): 2196 = 285d0) + d d (28) S.: 2296
et ex similiter ponendo D pro O et dy: dx = 296d0 +0d(46), : 296D+ d (26)
et yy: aa = 0096: a et XX : aa = DD86: a+ sed itaassurgetur ad gradum 6.
Retineamus ergo aqu. in qua assurgitur ad gradum 3tium, si O, d, et e sint
simplices secundum; et V, Erunt tollendi gradus primus ubi aegq 2, 2dus, ubi 4
gradus prums ubi aequs duae, secundus ubi  primus abi aequs quatuor, secundus
id est literae 12 et opus est arbitrariis 12. sed  nobis
ubi, aequationes sex.
pp significat. 22 + . 2u +. YB, et ila de caeteris
sit formula + aZ + an dv + 7opdZ + 2349 av + 50 redz +2 45e do
tantum adsunt
310 d Z + 302d
sit alia formula t 410 sdz + a + a~ (3dZ + 4e )dv + 43 Cdd Z + A03 
20cd
quae multiplicetur per t t, et productum comparetur priore,
fiet 31020 et 302=0 et 410t = m et 401 t =n ergo m, et habere debent
et L5d = +3 et tBB =5
habentur, de ideo oportet ipsas, omnes esse divisitulies per t. Sed
rationem constantem, +β = pp et bs
optimum erit formulam exprimere per omnes radices quibus producitur
nihil lucrpbimur opinor hac arte
si  O et dy = et fiet Tady = OdG +  dC et ay =
ut formullam tertii gradu per C.
sit ay = 03 et ax = 46  it ady = Od3 +Dd0 et adx = t dG + 8dti
et dy. dx fo, aa dy = p yy dx + xxdx siet a0 dD + a DdB = E h  ma) de 19 d  dia
sed ita assurgitur ad gradum stum