# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068191:0206
# Permalink to this reading: https://leibnizlegible.com/page/00068191:0206?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 206, page id 00068191:0206
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068191&page=206
# Source image: https://digitale-sammlungen.gwlb.de/content/00068191/jpgs/default/00000206.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.95
# 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.

prop. 18
prop. 16. problema 6.
Metiri aream figurae a mobili
descripta, seum secundum con-
ditiones propositionis
praecedentis.
quia   iisdem positis
a quantitates viae et tractus
sibi sunt proportionales; eo
tractus quantitatem metiri
licet per prop. 44. itaque et
viam  viam  descriptum
metiri licebit
He Hinc lecebi non
Solum metiri licebit prismata,
cylindrica, annulari a aliaque
solida rotatione genita; 
secundum methodum pappi et
Guldini, sed alias innumelas etiam
a flexti de figuras etiam a
lexili descriptas, ut quae fit
generatur evolutione fili; tanque
tum inim opus est habere viam
centri data enim longitudine
et centris gravitatis curva evo-
lutae, habetur via centri gravitatis
fili quae ducta in filum dat
aream figurae evolutione generata
C
ad modum ingtaunum Nec refert etsi pars fili inte
movendum quiescat. Et talia
quid exi innuit figura, in qua
ipsum centrum oricationis C move
tur et transit in ipso radio AK
1C ad 2C, 3C. sine ipsius vadii neptu
idemque fieri potest et pro radio sub-
stituendo planum, pro centro axem
pro filo velum, quo evolvitur super
ficies cylindrica aut ejus portio.
quod si axis in plano moveatur ita
non parallele, oritur aliquid ad ovc
quam planum tangit
latione diversum in recta.
per prop. praeced..
=aut plane
dissoluto
tarcuum
ad modum Hugenianum
vel recta rigsia A. R ab