# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0101 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0101?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 83, page id 1040780814:0101 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=101 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000101.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine # Lines: 80 recognised, mean confidence 0.84 # 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. mnibus X Mdo Cotd Hid IM aCH iCaM laMC in D 15 plaB Una neC Ct IM SoliSL AIeu d Sol n Pla intal C in t O eta C8 53 aCUM I5C tinet epO equ (112 Orbi e Ft 1B ate EE CFEOM E TRTCA P. L RMK N F A. aequalibus delcsodutur per radium ad Solem ductum, quem ecod rem nuncupat; et univertaliter arcas, quas rerrie radius rector. esse proportionales temporibus quibus deseribuntur. Verum cum fibex hx libratorix, quarum ope Planeta in altum li Brantur, Sibi semper in omni Planeix circunductione quasi paral. lela maneant, et (per Lupra osten (a) ita respectu universi totius in- Clinentur, ut cujusque Planeta Linea Apsidum perpendicularis sIt fibris hisce, vel in plano orbis Planetxe rel in Pitu huic parallelo po- Titis; cumquo nullius e primariis Planeris axis, circa quem iotu quali diurno rOtatuE, hanc habeat positionem, et nulla alia prXter axem hunc, eique parallelas rectas, sicum cundem respectu univerti conterret, i Plancta lobus totus st Polidus ex unitus; patet Re- plero necesse fuisse intra crustam hanc Planeta exteriorem, (cujus axis situm datum retinet, quippe circa quem Planeta motu luo di urno revolritur,) slobum a crusta prortus separatum ee dirisum, et ejus motui diurno minime obleguentem ponere, cujus axis et rectae illi parallelae fibrarum dictarum Libratoriarum rices suctinerent, ex Ticum ad hoc opus neceltarium modo descriptum conserrarent; dum interim crusta exterior, pro Planeta cujusque indole, motu diurno sibi peculiari Circumrotatur. PROPOSETIO LXIZ Ausas, cur Putadarum Orbitae sint ad Ectipticam inctinatae, a In Physica hac Repteriana, in qua nunc versamur, Ei nulla in eent Planetis Fbra (quales PFOP. PraC. descripsimuS) quibus in altum librantur, vel si fibra ha latus Soli obvertant; (hoc est, nC- que plagam Soli amicam neque inimicam;) Planeta quiris in eadem a Sole distantia manens pertectum circulum soli concentricum de- Fcriberet. Pari modo, Planeta (viribus hinc Tolummodo ortis asitati) omnes in eodem plano, uniformi e dircetissimo Ruminc, medio quali alreo (sive circulo inter polos conrolutionis Solis medio, Vid Recia dicto) circumirent. Cum vero rarie hinc inde ab hac Resia via diragentur, oportet eAectus huius cautam non este absimilem illi, qua tit ut navis vento impulsa paulatim ad latus detrudatur, respectu linex secundum quam, per POIUM YeNEUM, MOVOTCEUE; per remum sc. oblique ad puppim relisatum, vel subernaculum obliquo litu detentum. In quoris Planeta sune fibra (quas ab officio appel. Lac Latitudinis) in plano orbis lui, vel huic parallelo, perpetuo con- Pitura, quaque in omni Plancta convertione aut motusibi ipsis ubi- que parallela manene, ita ut, dum Planeta in nodo sire communi intersectione plani vix Regia cum plano orbis verlatur, Fibra L a- titudinis media, qua per Planeta centrum transit, Orbitam tangat; adeoque tibrarum omnium pars una ad unam rix Resix Partem, altera vero ad alteram, extra planum istud emincat, inclinata ad il. lud eodem ansulo, quo Planeta orbis ad riam Resiam. Cum isitur SpccieS F. Keplero adductas explicare.