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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 3
# Folio 12r, page id 00068205:0023
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Notandum
Haec quae jam demonstrare suscipio si ea hac ratione traectunda essent ut sobit a
Deteribus, ultra modum polixa evoderent; cum plaraqus ex natura sua admodum
composita sint partim talia ut ea ad absurda deducere necesse rit de quibus in
de
tum gimolia o nisi lorgo circuitu eosce demonetrari; quo propter cum tantum
Se
temparie jam Mihi o supertat ad talia exseguendam alia hio ascumam guibus rae
Od
c
d
M. D
hac o minus accurate expedits, quaeque existimo facila Mihi concedents a Mathe
P
maticis qui inter peritistimos noctri reculi jure rcansents a quorum eatien
tia abuti tam longia ambagibus (licet Temporiae augustuiao obstarat) in convel
niena ess judiro; Aliis aute qui rimilibus quae propono o adeo admeti, cum plia
C
obi Mihi concadets panitus quodus, in desiderits, talis fatere millatenus incusato.
c
.d 
Definitionas
aut libera momo
sit Curva quaminos Geomatira, Mectanica
cunae
ducta BGE convexa ad rectam CE hiicfitum, srum linea
S
flaxilis cncumplicata intelligats; jam una extremitatum hurjus
c
c
ac
fili cit affixa in B altera vero quae in E ita moveats, ut semi
E in linea CE constituta sit, dinnus sic exictit in puncto aliqua inter
medio linuae CE, viluti D, filum in F ic intendats ut DF dFG rectuae merresentent
DF vero semper gergendiculana sit ad CE; cuuvam itous AFE qua iic formabits sen
puncta F vorabo descrigtam ex evolutione.
2
Illa viro enana BGE cui filum circumflicatum erat dicats evoluta.
Pergendicularia DF vocals linea nocidenc
Aetera vero linea GF linca reflexa
Axiomata
Patet lineam refloxam FG continie tangere avolutam BGE in puncto G. Ad eod
1
quoque in puncto B ubi ircideni eA a coflexa AB coincidunt.
e
A
Patet quoque curvna hasca evolutam nim: BGE dillam quae excevolutione describits
AFE se invicem tungere in juncto E
Patet lineam incidentam DFD reflcpam G5 dinunl sumplos aeguari portioni evolute
BE quae intavicigits inter punctum G ubi rnflexa GF hanc lurvam tongit (jupto
 axio:) e punctum E ubi hoe duae lurore se invicem tangunt (jux: 2d: ax:)
Ex hypothasi eriim hoe duae lincae DFd GF seu filum DFG antia cncumplicatum fuit lu
c
vae portioni GE Cjup: x dositiit:)
4
Eadem ratione habet incidentem est d reflaxam A6 ubi coicidunt aeguari integrae 
luta 8GE.
e
a