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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 16r, page id 00068073:0031
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a = F - +3 + f5-
e
+
ec
ponatur a = 1. fet eqatio
fiet aequotio -1 + + + = F X +t X t + + + ec =0 quaeritur F
 Assumatur -1 + bt + ct t + e +2+ 5 + 4 G (F+ hH 43 =0 eaque aequatio multi plice
finitat
 1t + nt nt +p +t 1Gt + Yt et C insinita 0.
sia  .-1 +bt + et2+ Ct pE+ t
t btM
Haec multiplicetur per infinitam
fiet
eH+Z. Assumaturr -1 + nt + 12F + 13 ++14t =0
et
qua sit aquatio finita quaesita
rempe per 1+21f+22 +2+23t + 24 f4
=1+ IFK2t + 13+3 12t 45t +16t = 17f418td, 19F R
=21F 1rt 12. nt a 13. 2F41g2t 115. 2F, 1b. 4F +. 21F +1 2f ec
=22 + 1._F1UFVFAI_sHt. ut eC
a∞23+11. 23 n. 23 1323 4.23 15. 23 1623 en
(6
∞)
comparanda est aeq. 6 cum aeq. 1. Quod per gradus distinctos faciendum est et quidem si sit
aequatia a tantum a et - 1+ 1F reliquis positis 0, abscindentur omnia usque ad primum
lineam serici trans versae, et fiet 11 = 1+21 = 22:21 = = + 23,:21 = 24:23 Vemium
quia hinc nihil. Comparatio ist etiam nunc instituenda est quasi per gradus, et fiet
Et et quidem si assargere volumus solum usque ad t, fiet 22~0. Ergo et 12 =0 ob t e est
autem I  aliud a 0 ergus 21- 0 ergo et ( fieret 1 = + si non oscenderetur uetra t
50.
Sei si asfurgatur ad 13 in vg. 6 (posito semper in aeq. 4 tantum ascento ad t) fiet: abesse debet 2
ua quo si p aeg. 5. alsit usque ad 21 milus
ssumestorbit H 1. Si adsit 2 siit
fiet 21 21. 11 =0 RV. Ergo vel YbC 2) =0 quod absudum, et 21 vel 11 = f
it usque ad 22. assurgetur ad +3. et fiet 3e= H224 L et 22- 12I et
:t= H 1 et fr 22 = - 1: 3. 11 = 11. 21 sen 21 = 1: 3. 11. 11 = 11 firt : 11 = 1: 3. seu 11- V 1: 3
=
Si adsit 23 assurgetur ad +2 et fiet 25=0 22 = - 1: 3. 11 Xc ut aute.
S ad sit 24 asscunctur ad (. et fiet (24 =  1: 5. 11 = 11. 23  seu 23 = 1: 5. 11. 11= 22. 11 + L.
seu 1: 5. 11. 11, 1: 3.11.= 22 = 11. 21 fit 21 = 1: 5. 117 - 1. 3.112 = 11 -1. seu
5. 11
+ L2 = 1
ut supra = =1. _ sedin unde colligitur contrunando fore: ascut = 2--
quia langens  F = Z. itam nihil duci pr ex istis
B.1
3. 11.
+1 erc
qu
1t 3. 11
511)
tan magis maysus
ubito de Methodo Quariaturarum speciulium determinata
adde schetam  olo. uti finitiones seriem infinitarum.
ibi serieiata infinita terminorum relatio replicata indenitur