# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068164:0102
# Permalink to this reading: https://leibnizlegible.com/page/00068164:0102?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 51v, page id 00068164:0102
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 52r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068164&page=102
# Source image: https://digitale-sammlungen.gwlb.de/content/00068164/jpgs/default/00000102.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine
# Lines: 86 recognised, mean confidence 0.92
# 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.

din braeden, iiteri aut
Znlaßen
problema
planam
Exhibere viam figuram mo
dur dimensienum quae quantitati
trium dime quatuor dimensionum
factae ex mobili circum quaeeviae
planae golid cirha dxent circulantis
eproportionali cujus circa
datum axem dgratae via plena, sit viae plenu
ejusdem mobilis positione dati, sirca eundem q
gyrati proportionalis
Si mobile itque ferpturiut ac
ab omnibus punctis des cribantur arcus circulares
cs sintque arcus a diversis punctis aequa
libus temporibus descripti in eadem semper
ratione
si ntoile tercatur motux circularie i ea
axeree e motuecicculari circa
aliquem axem eedeaxn in edem plano
ordinaetien capplicentur recte proportionales sectionibut
mobilise plana aeme netmalia,  et
figa envel fecta ssit vasis corperis, 
jesatitu solidiccylinriecemis recta in basin
neralitet eete (quae maxima
siclo 
Si mobile feratur motu circulari circa aliquem
avem etes te otane quounque erabem trseunte
alie plana api porallea plais axem, et assuma
tur planum aliquod per hunc axem transiens, quod
secet omnes superficies cylindrorum rectorum circa
hanc axem descriptibilium in totidem rectis, et
in quanishatum rectaro eiamantur paries
cas sedet linea quaedam ain eodem plano
rectis occurrens , unde ecectis x puuctis unde
Exhibere icmptnm figuram
ae sit viae plena mobilis positione dat
ecedentiq sin sums rectas in composita rationi
sectionum et distantiarum ab axe, habetitum
figura plana  quae erit ut spatium
angulo ad planum
ejus at recto
ducatur
incipientes in dictis rectis s ad easdem
partos sumantur portiones sectionibus mobilis
a respondente superficie cylindri factis propor–
samobili proportio
va entigeru
palis  et res et similiter distans ab axe
quod si jam innam ducatur recta non minor
distantia abaxe remotis puncti remotissimi distan
tia ab axe, et aylindrum inde factum corpus
Cylindricum secetur plano novo peraxem transe-
unte ad prius semirecto, erit ungula abscissa
seu portio cylindrici inter duo per axem plana
comprehenditur, ut quantitas spatii 
motu mobilis, circulantis et dimensi. seu ut
via mobilis plena
Hoc demonstrare prolxies fovet. Go facil
A Geometris facile intelligetur ejus veritas, caeteros
nihil necesse est Annotavi autem ut exemplum methodi
qua quantitatem quatuor dimensionem factam scilicet
ex corpore circulante ducto in punctorum 
imo duarut
vias reduximus ad figuram trium dimensionum  propor
tionalem, potuisemus  reduere ad figulam
diesin duame cumodeptiones
recturum. Quod subinde satis difficile est. orsi
mebile sit tigedum porro ut mobile circuletur circa
apen u cae dstut at ner  a puaceusare
positiondato
mobili propors
sodlema
DrO
cocfirca axem datum coyrantis proportionalis
moe mo bia plena
mol
lis circulants
sin solidam malimus
sumatur figura
plaereac et problematis
praecedentis et in eam angulo
ad planum ejus recto
Haec facile ex Constructione
agnoscet Geometra