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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 25
# Folio 4v, page id 00068070:0008
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eca ei
iutamen eib reducendi dimensiones curvarum nicaum
darcus circuli et Logarithmos.
1+10X latur  ex Conicis. sit X = ZZ. a se ax=
1+20X
filt 124
1 + 10X  C.
21+207
S. sit g 1 Ex 4 fiet 1 aa
Et
Ld
( = Suxt s 11+ OX
re
21 + 20X
1107
fiat X a a. vr seu ex -- 2a
La d
+a
XN. +1dZ2
 2142075
2e
sit, X = 43: a dx= X = Z: a dx = 2713: a et ex 1 fet
C2
seu  
e
(6
VM
(dus greti (1a + 1022
fiet e siz
Ca 2a + 20Z
C11
Si ergo ( = sade s 11 + ioX
() = (a2749
1 a x. a
21+ 20X
 31 = 20X
en
sen ret1 0 seu e- 2
fir O= utrX, X
xx
et fiat X = ZZ: a et dx = 22dz: a fiet
14 +10ZZ,
21a +20p
(2)
(4
seu O = 2as_
ua tioZZ= 2a saZV
 21a +2572.
torro Datur fBtque datur ergo svaqu. ex quadraturis rationalilus
porro
AB, Z
DE- v
BE cd = a2
VZ dZe BC= f~7 43
ad
2a +2022
sit (d dZ = DE et BC - s18 dZ
fit Zscodque - Pa = ((eodZdZ. Ergo fit
aa
Gu .  f0l  Sez s = feotque 1Z. sed hic me
a
s
a a r2aa
difcinaes.
ZC A B CGA. + BAG =
1oZd3
dia
c
te
e
coqu = saque scon
quae est dentica et per se patet
Aliter sit ne
dZ
Habetur BC -f codZ+ = p a e
oit s.D E = Cd,  (t (Z potest summari ex Conicis 
et fit
1d
Co2dZ= BBCGH= ga, nam datur ratonalite
ABCBBAG = + ABC (3 - G(B3CG = EA BC
codque + dque scod
Alite
in
 o
a LL, 2Ia + 202Z culiogtem esse
Ergo ut sit 20+ 1 = - 1. fiet e = = 1. si ergo O = sed j11 4 10X
c
C
2 Salte ex quara
turis rationalibus
sit DE = Codq  datur (per lalionalem quachatirum (co dZ = 2 = BD
Seodue = Gβ3CG1_ jam GBCG = ABC (3 = GABC
fiet
(codz =
Scodx =
 
E-az- n si potu
taque dimenso curvae sonicae, et id genus problematum reducta
st ad summam summarum conitarum. seu cu pendet
ex quadratura curvo, cujus ordinata et quadratura Caniea pendet
eamqus sed quia quod timmem licet viicatur difficilius quaesito, videm
tamen analysi salis faceere, quia sic res. ad meras ratio nalium summas
et summarum summas, redacta est quarramus ergo V per raliomes
Minio nondum
a usu
Non successitesse
glerimhic nnven
x surio ax =  s
2420 a  E
posito esse
 1 noux (.
aa 21A. aX)
ea ii fit
ex ses
1z: a