# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815206918:0013
# Permalink to this reading: https://leibnizlegible.com/page/1815206918:0013?run=74
# Title: Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi (shelfmark Leibn. Marg. 230, Stück 2)
# Folio 8, page id 1815206918:0013
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815206918&page=13
# Source image: https://digitale-sammlungen.gwlb.de/content/1815206918/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.87
# 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.

CONFIRMATTONES
omneslineas FTB, IC, IED, L. E, RC. IICMML OIMIMES MICaSLLB, AC, AD,
AF, ec. coneinue proporrionales este.
alymptoro AV parallelas decerminatae, aequales fuerineinter le, dice
demonstracionem ha.tOP. 136. CbCL PaCede
deholtoi
valde disparata videantur haec a scopo noltro, breniter isitur eam doctrinam,
S. T in comrinuaanaesla um, quarum Logarichmi sINE6, 7, 8, 9, 10. _C.
qui quidem meodem temper iene superent excectu, secundum doctrinam
Logarichmicam. ANumpea igitur quadam hrperbola FIINI, cuius atemprori
SInE A V, A C, constiruantur ad eam linex IT B, LC, KD, L. C,MIF, N G, _C. Pa-
rallela quidem ad alymptocon AV, aequales verolineis O, P, 9, R, S, I Aingula
singulis, quod quidemper Corr. prima luiusFacile Her. Fruncigitur per tertiam
huiusomnes superkicies TIC, CK, K F, E NI, M C xqualesincer se. Vnde si cOn-
cinuetur ratio TC. ad TIB, hacqueeidem proportionalis X Z, eagque per Corr. pri-
ma huius ad eandem hrperbolam constituatur, erit d superticies XB aqualis
Tuperkiciebus FI C, C R. ecC. vnde cota superticies hrperbolica X C eodem exces-
Tu excedic superticiem hyperbolicam IIC, quo superficies hyperbolica FI C su-
perat superticiem TO; e rursus superticies hyperbolica TG eodem excessu su-
Perat Cuperkciem K C, e sicdeinceps. Vnde loconumerorum 6,7, 8, 9, F0, IF, _C.
qui ernne Logarichmi magnicudinum O, P, 9, R, S, P, altumere pocerinus quan-
citateshrperbolicas X G, TTC IO,K C, L C, MI G, aUEPOTIIS AE C, L O, R C, TO.
TIO, X C. auc si hyperbola mentionem herinon vis rationes MIF ad N O5L F.
adNCKD ad NO, IC ad NO, IIB ad NC, XZ ad N G, cum hae quan-
citates, ex consequenterrationes, non minusxquali se le inuicem superene excet-
Sus quam numeri Locarithmici qui altumpei Fuerune. Ouare nacuram Logarich-
micam cum sua erminorum continuatione  excestu, vides Frperbole ad amus-
LOgathmos comprehenacts lic ostendo.
Ed quorsum hxc inquiess ambases non quaero, ad L. ocarichmos te duco, licer
ANImatuEruETUS Cadem fgura. Sirque series aliqua magnitudinum O, P, O.
sim accommodaram; veiam loconumerorum, liceat has partes hyperbolicasiave
Laciones aictaslincarum altumere.
Veigicur nosaccinsamus tandem ad Folutione Mart Casseualum; Qua
exigua elt ditticultas, cae ocere Piaecu, decolalalet la per hyperbolicas
halcepcoprietates, quas iam propolui, qualque deincepsperlequimui, ablolua.
FuIF.
inicio fuere propolica, sequeres Formo propositiones. Ac primam quidem in qua