# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-3595205:0215
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-3595205:0215?run=74
# Title: LBr. 437 · Huygens
# Folio 105r, page id DE-611-HS-3595205:0215
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 104v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=215
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000215.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 134 lines, status machine
# Lines: 134 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

cRa se+
itaque cum sic rem commode corrigere non possim, nisi aliqua
ratione officiatur, ut EE celerius procedat quam B, rem alite
 sic
nen hotatali
in tigafa 5. Sit angulis rectis ran in matus et in planotoriq ontulis positus in curus
L
instituere
et
hoc modo;
in figura5 silum TC ducatur per A Truc augubi recti
nohorizoatati horiconte positi et immoti
in plan angu incedens
A inmotis et extremitati C alligatum pondus,
suo puncto describente potta
si
damla 2 in eodem ra
negulam punto t pormaliter cirvidentem ad alterum
crure AH incedentem  qu in hac regula verticali
vercus A
incedet in B verticubis taba
Huic regulae adeoque
semper ipsi ACparalleram.  sit vero et Tabulas et
verticalis, ingedens normaliter incedens ad regulam HB
propulsa continue ab impellente cum puncto Y, a
Fdatm exe7 a ducente filum, pa ut TB sit aequalis et parallela
cR (ipsi AH ita ut ATBH sit parlle rectangulum. In hac
atuo
stabula d per descripta sit lines per laminum extantem
linea selida EE rigida EE cui extremitate sua E sunitatur
tana
pgida R
tec
ndara
pron
rea ponde
ec ut det
FE versicalis
nplanum verticali  in
G infra planum horisonhas tantum desiedente qumtum opus est, ut
promipen
cylindet solidas ponderous.
sursum deossumue mobinis in cylindro cavo
utre su PEe ut cylinder solidus FE ex cavo non elabator etiam cum non
maxime descendit. Postreum summitat colindri solidi grmmitati F alligatum sit
ita prout  accedesa filum FTC, cujus una extremitas F ultera C . Patet autem filum in hoc
mitu semper manere tensum, et pondas hon promoveri nisi tructione fili itaque
descrinta perlaminamF descendendo trahet C,  desotud itaque C trahebur ab F descendendo infra
plano horizons
endat Comsia
ita
Cum
olit
igitur
at
extantem placeeline lanum horiiontat
teust
uet a p bogi
nempe com
migitur quantitas tque bata rolatio nitr re
site
tur colind
filo _
tam
tionis
abscitam undeq
ist etvit
tos
nata
CE
odinata, capetur ergo at descrictio linea CC
m proinde natura ex rescriptio est inventa
erit etiam Fe datae relationis ad BT. est autem T
tas
ad (absustam
semper tangens curvae C), ex
haraoteristilis
velTBC
AC relatio laterum est data
C(C) ubi trianguli assignabilis
adeoque habetur quadratura vel dimensio quasita. Q. E. F
linea
vertatur sigmns
In figura 5 sit angulus rectus TAH, immotus et in plano horiz ontali positus.
jucuius crure AY procedat cylinder cavas verticalis TF. intra planum horizontale dictum promineas
pnderosus cujus extremitat
ictu
in summitate
in quo sit sursum acoriumque mobilis cylinder solidus FE, cur
FF sit intra cylindrum cquum, pars TC in plano horisonta
extremitutem sit punctum describens a pondens ad planum pondere sibi incumbente
alligatum,  filum FTC, ita ut pari
iidem plano innitens atque in eo describens linean C(C) prontmotu cyliadri casti rE incedentis
e AI et colineri solict CE descendentis verbicaliter intra auum, t attu attrahitur fiu
initium autem motus erit in cylindro cavo FG, qui dum ducitur in AT recedens ab A attrahit C, u ponde
se non pathuterpotius attolli on sibe ac suspendiavn
At pondum  punctum depribens C apte se protrudat H regulam in eodem plano
immobilis, TAH, incedentem versus A. sit vero e
edem pe B. caterum
da rontune sitaut A peti nuretabtum Bentie nalare
recti
na grabitate praebalens ata
m verticarm
dens ad regulam H
u
Si dacatur
seu CN per
+AZ
D CN + R
 et pe
calculus.
AT=
verl.
X+ AZ
rus anguli
fylind sot. 
quamlincisura in
extremitate Efacta
deat semver
 mordeat
a ad egliuden
si
Fet dostendet
rigida EE
extreminites
ordin
= lex declivi-
tatum, seu
par
porro ad fili
E
haben.
as
rizontaliter ad AH