# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0322 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0322?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 304, page id 1040780814:0322 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=322 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000322.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 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. 304 ASTRONOMI A PAESICA L. ID. L. V calu, Orbis portioi deseripta pertinebit ad Orbem minime F. X. centricum. Satellite a c vertus B prosresto, Vis extranca ablatitia ut m s simul crescit, effectusque luos proinde masis masisque edit; hoc est, Satellitem describere facit Orbis partem ad Orbem masis Fxcentricum perrinentem: quare in prosrettu Satellitis à Ouadra curis ad Syzrsias ejus Orbis masis masisque Fxcentricus cracit, donec Satellite ad iptam Oppolitionem vel Conjunetionem, cum Sole pervento, Orbis fiat omnium maxime, Fxcontricus, ablatitia Vi uE MN existente nunc cum sold, tum maxima e maxime di rectd. Pottea vero, Satellite rersus Ouadraturam persente, FXCen tricitas rursus diminui incipit, ob auctam Vim am qua illam mi nuit. Orbis isitur Fxcentricitas in progressu Satellitis a Ouadraturis ad Syzroias perpetuo augetur, ee in ciuldem prosrectu à Syrygiis ad Ouadraturas perpetuo diminuitur: Et maxima proinde cAt (ea teris paribus) in Syzrsiis, minima in Ouadraturis. PROPOSITIO XITI IIdem positis quae in Prop. praec. in pluribus Satellitis revolutio- nibus inter se comparatis, dico Orbitae Satellitis Fxecentricit atem maximam esse, cum ejus Apsides in Syzygiis versantur; exinde vero diminui perpetuo in transitu Apsidum a Syzyeiis ad Duadratum So- lis, ubi illaminima est; in transitu vero Apsidum à Duadraturis adt Sy zy eias Fxcentricitatem rursus perpetuo auxeri Probatur eodem modo quo Propositio penultima. Nam (per Corol. PrOP. VIT.) Vires Satellitis in Ouadraturis crescunt ret decrescunt mmus quam pro duplicata ratione distantix minuta vel aucta: quare si Orbis Apsides sint in Ouadraturis, dicta ratio incrementi ac decrementi torius in transitu inter Apsides est omnium minima. Similiter, Vires Satellitis in Syzreiis crescunt rel decrescunt masis quam pro duplicata ratione distantia minutae rel aucta; et propie rea, E Orbis Apsides simul in Sy2y siis rerlentur, dicta ratIO LOTIUS incrementi ac decrementi Virium in transitu inter Aptides est omni- um maxima; id cA, ratio totius incrementi ac decrementi Virium minima eAt dum Aplides sunt in Ouadraturis, maxima dum in Sy. 2ysiis; e propterea, in transitu Apsidum à Ouadraturis ad 5y27 51a5, in linsulis dacellitis rerolutionibus circa Primarium DespetUO au. setur, et in transitu à Syzy siis ad Ouadraturas perpetuo minuitur. Sed Prop. praec. Osensum est, quod s in lingulis Datellitis rerolu tionibus auseatur ratio incrementi e decrementi Vis centripeta, ansebitur simul e Orbis Fxcentricitas; et e contra minuetur L. X. cenrricitas, s ratio illa decreseat: Ec isitur in tranlitu Apsidum a Ouadraturis ad Syzygias Orbis Fxcentricitas pervetuo ausetur, et in transitu à Syzysiis ad Ouadraturas perpetuo minuitur; maxima ergo est Orbis Fxcentricitas dum Aplides in Sy2ysiis sunt, minima cum illa in Ouadraturis verlantur. Pt ob diuturnitatem temporis quo APlides prove Ouadraturas aut Syzy eiaS haerenE, Ft Fxcentrici catis incremencum aut decrementum admodum sentibile, e ina. qualitas 0 Maequ tardiu Deis utriut eradi rrum