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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 141v, page id 00068200:0284
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Ita quidem pervenemus ad aequationem, sed e ea i
sim
satis difficilis erit resolutu; nec facile inde modus curvam generandi
deducetur, et si calculo res agenda est brevius longe
ipsam curvam 1B2B3B. in calculo differentiali deter
ominabimus sumendo punctum in tangente sumtum
dato a curva in tangente intervallo,
a quodam dato puncto distare
DVus
GB Fds + d.
TB+ BE
RE
semper aequaliter
ubi posito inc
GWB dx. WBdZ
et FE TB
 SBXH du
dc y B BE + de RE
BE sit BE data aequ. e.
DE constans seu dat aequ. d
fiet 7-  e BRE. jam  SRBBK 
ergo SRA
BEpe de
RDB D5 = SR
Et RDquad + RE quad aequ  aequ dE quad
S= 2d e+  C +d 2di
de de
datu DE Edc H d5 + d
B
vel
sit-atenh
L c
s+qt
e aequ. d
5, Z- d 1 de 1 25 d5 r 23 dq 
S+Z det de 1 O5 +
sit 5 +27 82. erit d2) a5 + 27d3. Erg habem
 fe
xplrcatur
fiet s+-yde. e H d- e
vel
precta
ln e.
d
+h a dene8.
(+72 d2+E applicata curvae d
seu quant vas 8+h applicat
elementis, ac aequatur
mentis curvae 
82 f et.
derum quia hinc generationem curirae ducenem difficate
siet
hinc late aliquid comminisci
dqus eoin centrum vinterea punctur in rectaoivel bolvatur circulus fito circunsigabo ad
sit cud Ga
DBQuad
quod filum rigidescens sit per endicularis
BE. et interim dum evolvitur filum
simul ipse circulus ita moveatur
ut punctum E semper moveatur
in circumferentia circuli dati, quod
utique fieri potest ex data circuli dimensio
Habetur ergo (curvae datae d propot
sitae descriptio. Imo non sufficit
l 1 e +8 +49  e e nam si interium progreditur circulus durante evolutione
CH3. + +
BN non manelit curvae BB perpendiculaeris
Ansic dum in plano circuli vnr movetur fitum evolvens
sese et interim tolum circulus cum silo et plano subjecto, motu
quodum movetur, utique punctum fili extremum B quod curvam
describit mnovebitur in in motu diagonali comprehenso in paralletie
se +htitiesae eggisimm fae BC et paralletam directioni motus totius plani, ductam per
B in qua producta dingonali sumatur aeqa
deb B9.
squalis BE debet punctum  esse in ircumferentia circuli dati, et deo.
tum circulus ipse tum matus evolvendus, tum motus totius plani ita
alsu alud s
fiat
versum caluturta
ciderandum ut assumantur
in determinatae tales
tii discenia  er ie due reles
ad aliunt
si em naberpussit
sola spectemus
11 2B
(B. 11
parcallo e gegiammo tali
Teneculius procedemus, si puncti
empe
punctium movetur in Jam d +d
rectu ita ut si BE
sit magnitudine
sit etia magum
sudine data Ergo
E mytus erit in
ipsius describentis motu
(AB. hic resabsoluta: Licebit
hotum hinc tatem comminisi licebit um DB circulatur
DEprodit in B circulatio
autem erit talis, seu
linea BG ad lineam
hE eam habebit
relationem ut
juncta BEe dc
hEp da. sit st medium in
ob Y. iscos les BDh. ent B) perpendiculans
aequ B3, oD - L 03 et PBe E
jam Gp2  P3+hE quad. GEqua fiet p tret
DB= L b3, BE + Ph + hE + 2 PB, hE⊓ GE quad
fiet B. + 9 d
seu β7 de -des
tam depi e2 hi  Ergo
Et haletur rela
Circulationem
slati