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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 286v, page id 00068196:0568
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Res redocta est ad 1oofr 1r g 1oflys + n siydus 2o sumatur XB _ 200 rndo rxdo e O - lve t gy +ry, et d0 = ypdt 1. ( p + rdy +yar,
in at  enpur +2. 2 tydu + 2rrdy sit dt: t = - 21. 22 = dr: Y Erpo ret t in lata ratione f = 22Y: H1 = 2. ut : 101. Ergo datur t: Y
et fib 20 +21 tyy + 2Y)
sed ila ratio 101 ad 11 fieret constans
Immagmnthnam hman + lin- sit m = (c et n= 1 et fiet
eti spage bio (t h ba dce -hb dip (hb e o) + (∞ ex seu
la At Ly + Wt ydy = 100 + po des 100 + 1Oy + 120yy + 10) dy = sit y = f + g, - +h, fint 1oohh + , ootio + 100Bv
sit sit 216 422 49 + 284) et 9 = mD +
B+p
Circaulsimum temminum nulla est dificultas
n Fpdms xphiuus Amu ost ymats)6,
 nuu un de
(nmif  20
21O +2 Irp +2InB + Um t2inds
eret = n2 pm - 2EB :201 = redem Aur 120
21 mp
110 gh + 10 fliv + 110 fVV
1ogV
120g9 +2 12dfgo + no H  hf dv
4lo1 sidus + 101 tas. v
Si paureta y =n et conferretur aeg. 1. per r mulloplicata c2B
ubi evanesut 22 Et fiit 1a H mrdutious etiam facta fia frtuhobique 101mpdm instituatur ergo multiplicatio
L22. 101 dn
fiat +120. 22. pm en = 190. 22n _h ~ 101. 22dm 1t n = 120. 22 pm LeL mip = 120 22 n sI = 101. 2ram nip) - 22. 10imm dp
ibi si tolli posest at menbra quibus abest p fieret- 120. Hn + 10m = 101 dm = 0 et fariendo m=n, ve li n ratione constante
=110. 22 pMM + HIO22mn + 121p + vtp
+ 22. 101 pdrim
100 +1oy + 1205y + 101 dy =0 210 +2r d0 + 20 2 0 sit 9 = my an,: ytp. fiet
haberebur quaesitum. Resumamus calculum.
22 qu (p) dC = + npdn + 22 pam p
21qu (y +p) -
p
ve.
poifrvnce
-101 gah = 1019d v 
sit 21 = 120. 22pM = 120. hin = 101. 22dm,: ( ormi =  110. 22 pm ( 10nn - 22 pd m - 22. 101 m dp3 :  (1o)n Homp,
+ 22. 101 dim dp
Extus sit r rpp - 22, : 101 = (exgus) ram t um  + 2g: no.
ce
+20 gusy p) =
+22 adny +urdm 9y
22ndp - 22 m dp y (B
+unp +2any
ictor
+ 21 mp y = MAyi
+201 +30ap y Y20aep)
100Y + HB Fy + norgus + 10Irdy uno
ieplu asepto teapiulle
Ex aeq. 8 sit  2t Cst 101aa (mp. - an) = p. . . . . . .  - e lai ppn Fsappa m -. 10 aamp p. + 10a mp
sis ternimo asclitsit  a maap de epme an, =   1o tmp t 101 a At A pdas, a nep
H1oMp - 1ONmPB C napp ams denane ndiep
et fiet 20 =129. Hgm - 120. 22 an = 101. 22adm P FO1. 21am,: 101aa
unde ex y fint +101. aa 2E plm tat a a a Pradn. - 1or uaa r m ap io ia nt o 12) )
 = L rap no. gimp Deapnoman (espro. natm Lelipior2iam CN - 1oaacun p. + 10a an
Hanc aequationem si t divelleremus in duas, ut coanescerent 21 et 22, fieret
delmenars siet 1ot + L 101 adu ( Epr 2 Mopa inapn Y + S H0 a + HOan
sed hoc pon licet, quia fieret r=
An ergo poteritum talem divulsionem instituere, in aequatione oriente ex absolutur
termino, exeerpendo membra ubi occurrit 2 ita enim in aeliquo evanescet 22
) non licet
et in data
sed ita rursus fieret A= m
lovas encanius
et fiet Zianp, + _ + + App (- 101 2 a m) = b
(22
+22pM
(toi fs
22M dy -
(-10r fvav)