# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0339 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0339?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 305, page id 1041163592:0339 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=339 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000339.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.91 # 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. DRINCIPTA MATFTEMATICA. modo diametros recte dimensus sum. Parabam utique laINaM L IVEN Planam perrenuem in medio pertoratam, existente circularis FOrZ- SECURVOS. minis diamerro parcium quinque octararum digiei. FF ne rena aquae exilientis cadendo acceleraretur ex acceleratione redderetur ansuctior, hanc laminam non Fundo sed lateri rasis affixi sic, UE vena illa egrederetur secundum lineam horizonei parallelam. Dein ubi vas aquae plenum cAeE, aperui FOTamEN VE aqua CAIUCrEL; et venae diameter, ad distanciam quasi dimidii disiti a Foramine quam accuracissime mensurata, prodiie partium riginti ex unius quadragcli- marum digiri. Rrat isicur diameter Foraminis hujus circularis ad diametrum vene VE 25 ad 2F quamproximO. PEF CxPCrIMeNEA VerO constat quod quancicas agux quxe per toramen circulare in fundo valis Factum eAuit, ea eA quae, pro diamerro venae, cum velocitate Praedicta cAluere debec. In sequencibus isicur, plano Foraminis parallelum duci intellisa- cur planum aliud superius ad distanciam diametro Foraminis aequa- lem vel paulo majorem ec Foramine majore pertusum, per quod utique rena cadat quae adaequare impleat Foramen inferius PF, acque adeo cujus diameter sic ad diametrum Foraminis in- l Ferioris ut 25 ad 21 circiter. Sic enim vena per Foramen interius perpendicu- lariter transibie; ex quantitas aquae cf. Auencis, pro magnitudine Foraminis hu- jus, ca erit quam solutio Problematis p0. Culac quamproxime. Spatium vero quod Planis duobus ec vena cadente clauditur, pro Fundo rasis haberi pocest. Scd ut Colurio Problematis simplicior (IC Sc ma- Sis Machematicas praectat adhibere pla num solum inferius pro Fundo ralis, ec tingere quod aqua quae per slaciem ceu per infundibulum detlue- bac, ex C vase per Foramen F. S cgrediebatur, motum cuum per- Decuo servet ex glacies quierem suam etiamsi in aquam Auidam relolvatur. Ca5. 2. Si Foramen E F non sic in medio tundi valis, led tuit dum alibi PCrForetur: aqua eAluet eadem cum relocitate ac prius, si modo eadem sic Foraminis magnitudo. Nam grare majori qui dem tempore descendit ad eandem protunditatem per lineam ob- liquam quam per lincam perpendicularem, sed descendendo can- dem 1 1 30) HNPIETIMIPTHHIIHIIGHBIIIIIMiMIIIIGAIIIIIII IIIIINI