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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 14v, page id 00068197:0028
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pendiose ex aeq. 5V fiet aequatio talis, e faciendo 22 = 444 - 1 et 01 = (4aa 1) CbtC
praestanda
 in aeq. N pro O et ) scribatur y
gy+ +it=  +RnyV +ovy + 00a = 0 quaeritur rationaliter sit g - fv +ga
20
et 00 = aa (bb + 2be d ec)    et I12 + 44
fil 20ffvv + 2. 20 af9V, 
aavvs
11 af vv + 1. 11 aago
2d. 2 aa
= 1 0t aa fV + C
+ 1. 01 (3 V + 00 a
OVPFOV FoV
seu f -4, - 11 + Y(11. 11 - 4. 29. 20), : 2. 20
Ex ov sit 9 = = 01aa  af, :, 2. 20f + 1. ( 11 a
et in valore ipsius g substituendo valorem ipsius f, fiet
q = Ca. 8. = 2. 01. 2Ba + 01. 11a - 91a (11. 11 - 4. 20. 20)
2, 20, (=11) F Y (11. 11 - 4. 20. 20) (+ 11)
denique ex Ov sit gg + et ag + 00 aa =0 seu g = E a, -01 F 1(01. 01 - 4. 00. 20), : 2. 20, itaque duos ipsius g
valn quando fit
2. 01. 22(a) + oI. 1(a -01 4L (11. 11 - 4. 20. 20) (a
2020)
(2. 20)   1 (1. 11 = 4. 1020)
unde tandem - 2. 01. 22 + 01. 11 = ((01. 01 - 4. 00. 20)
-01 + Y (01. 01 - 4. 00. 20)
quae aequatio ut prestetur, oportet pro 00, oc,
11, et 20 substitui valores, et prodibit a quatio
(1. 11- 4. 20. 20) in qua sola superest quaesita 44, vel pro qq pone, posit ponenda ar.
Reperietur Y ascendere ad gradum sextum; et fortasse deprimi calculus poterit, saltem
in casibus quibusdam speciolibus utilioribus. sed licet hoc fieri non posset, tamen affigissemus
autem
Scopum, quia non refert ca rationalis an irrationalis et cujus gradus sint quan-
titates constantes, modo variabiles habeamus extra irrationalitatem; modo
ne impossibile quid oriatur, deb quaesita r plane evanescat
copo an non contrahi possit calculus, imi