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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 35r, page id 00068022:0069
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 76 lines, status machine
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dH
- est-fBa
(2) l,+ +f9a + 4eBga + 2 ef (3,2fBa
Ba2
A
Calculus iste probus est
x
3) 2 (4cga 2f ad es Ba + 2e P - 8 fg a (exga 4 ef a (4s ea
(i
B222
 te 92
a4  mlicantg,
C) + (16F eBa + 16f (a +De48eβGa) C 4f β3a)  O. et crdinario ad extratendam
24
Radicem.
(1) 3eB + (D a f p (2aF), sive, ut obtineams tandem valorem ipsius e
(12) er = 2aF. Eumque valorem substituendo in vlorem ipsius g, fier:
(13) 
G1 +2af( 3af3 et - aBf
3a
3a
Hos valores ipsarum, e, et g. repertos inseramus in valore ipsius h, aeq. 3.
(14) ubi reperitur et eg  +2F insertis ergo valoribus fier:
(15) h p. 2f L24t3d  + 26 445 a +8f5 3- 4β+25(a -25 B
9β74 sive h - 12 48) +2C8 - 18 +2 -6f -2f
9B138
(16) Ergodenque h p, - 2F. Nunc ad reliquas Collationes pergendum est.
(17)
(18)
∞2 (5 + 8f Ba- 4afβ +251 a L.
 F 3BC bB59B  4aa,  et proinde) Ip. 3s Ba BS Batis pa Ba
b +, +2af6B cat
Ergo l) 2frBa
252
3Ca2 H 9a
(19) Frdras. LBcs ( + 29445 + g ca (45+ as ( es CCd  a si as e
2
903f
 redab ) + (9 et (9 a et C B, d) à st Ue C 1 +2 a5- 10da
 108
sed quia haec i hic vator ipsius c dissentit ab eo quem superiore catculo inveni,
ideo repetendus est atcutus eg.. 18.
+ 2eβda + eβ c + 2bβ9 a = bBF  ha
2a5
33
2af
3
=β5
34
25
3β
+4af ed +2asc +26(5 =3F - 2f a
12
+ 4a f - 6βca
22
436a sed 1)se (14457461a  (185 a
22
+364)Bd +(1)4 fCC ( 4a  6βcaf,  (18 f a. Mtoque C + 12 fa - 36 aBd
pono adeoque TeCd +sBda + pC q + sBGa B  1a
-ras.
38
+onsdo
ds 4 es
est
3X
94
128
= D1 fa - 36aβd
128
(̸23. ased (Fei s)  24 as. H54B 5 + 113)a f Ba Cds,  2. 12 f a
sive +24( et + 72aβe A 75l a, sive explrando C, = 225a (f 32a βd + 32pp ) 7sa
Quae est aequatio impossiulis unde consequitur exitum sic quidem reperiri non posse.
(20)
(21)
22)
23)