# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0225 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0225?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 197, page id 1066518432:0225 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=225 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000225.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. D 18 t 10. IM IF DE VIRIBVS ET MIOTEBOS CORPORDM. L1B. II. 297 In hoc problemate ex datis AC, AB, AI vel BMI quaTItUE AT vel AC auc V. Idcirco Facto iterum angulo Pemirecto ABK, et AT = datae, in Ectula altitudine Mercurii manentis BM, aGatuE TK parallela alymptotae CTHI rectae BI occurrens in R, per quod pun- ctum nunc ducenda est hyperbola NKL, rectae AL ipsi GTI pa- rallelae occurrens in L, erit AI Spatium guaesitum. Demonstratio eadem penitus est cum demonstratione propositionis antecedentis, atque adeo hoc loco non repetenda. In numeris habebitur AL ap. plicando rectansulum datum CTK ad lineam AC, quxe atmosphae- ex prestionem exponit: nam CT Clt excestus, quo AC excedit da- tam AT vel BNT, _E IK vel BI aUE AMI est etiam (secundum hy- Pothelin) data, adeoque e rec- lum GI. IK eique aequale rec- lum AC. AL datum crit; acteo ut dirisorec loGI. IR per ACF, quotiens, vel in geometrica phrasi quarta proportionalis ad AC, ICF ex IR Futura sIt AL denotans quantitatem quaesitam aeris in fistulam AB intromisti, ut Mercurius in data altitudine BM consiltat. Ouod crat inreniendum. S CH O L Y O N. 31. St jam determintationes hujus et antecedentis propositionis cum phaenomenis conrenerint, ut latis coreoie cum iis conspirare deprehenlae sunt; omnino inferri debet, astumptam hypothesin, quod densitates aeris viribus comprimentibus seu clacticitatibus ejus pro- portionales sine, naturx Patis consentancam esse, modo ea non in majore latitudine lumatur, quam experimenta, cum quibus conre. nire videtur. Ejusmodi rero experimenta cum aere mediocris den- sitatis capta sunt; idcirco, si quis praememoratam hypothesin adae rem densissimum rellet extendere, insigniter hallucinaretur, quan- doquidem juxta superius dicta (5. 346.) in aëre densiore clasticitates majorem habent inter se proportionem quam densitates ipsis conre nientes. ACL Ves De Densitatibus aeris in diderps ainospara obis omnt osson elasticitarum hypothesi. hoc capite non acetur c aus deis demtalibus Gutam qu ae d Pondete incumbente inducuntur; propterea in hisce ser- M