# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0022 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0022?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 4, page id 1040780814:0022 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=22 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000022.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.93 # 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. occurrit; et consequenter quod ria Solis inter Fixas, spectata ex alio quoris Planeta, dirersa sit ab ejus via e Tellure visa, sive Feliprica. PROPOSITIOTII DETaenomena Planetarum e Sole visorum, quatenus in Orbitis mo. ventur, quarum plana ad planum Lelipticae sunt inclinata, describere. Cum Telluris _ Planetarum Orbita ita disponantur, ut carum plana ad se invicem inclinentur, seque intersecent (ut ProP. I. generatim expositum) in rectis per Solem traductis: in exponen- dis Phanomenis Planetarum e Sole visis, consideranda est inesi- natio plani Orbita cujusque ad planum PCliptica sive Orbitae Pel luris. Hloc enim planum Reliprica ab AAtronomis pro norma Ra- tuitur, ad quod scilicet reliquarum Orbitarum plana inclinata cen- sentur; ex quidem jure, cum hoc illud sic, in quo Tellus (Actronomi locus) cirea Solem detertur, vel in quo Sol circa Tellurem deferri videtur: EF Obserrator, in alio quoris Planetarum posituS, SuX Orbitx planum pro norma haberet, ee reliquorum Orbitas tan- quam ad illud inclinatas consideraret. Recta per Solem ducta, qua est communis sectio plani Orbitae Pla- neta cum plano Reliptica, rocatur Linea Nodorum ictius Plancta, cum ipsa Puncta, in quibus Planetae Orbita secat Felipticam, vocentur Nodi. Sit ex. er. OF8 + Orbita Telluris planum intinite produ- Ctum, N P n Orbita Planeta cujulris intersecans planum prioris Or- bita sive Fclipi ea in N e n dicti Planetae Nodis; ita ut Orbitx hujus pars altera N P n extare supponatur supra planum hujus sche. matis, alteran p eintra idem deprimi (unde Fllipsis appa- ret): Recta Nn NVodos conjun. sens, communis sectio plani Orbita Planeta cum plano Rcliptica, est L inea Nodorum. Patet Planctam in Nodo- rum alterutro n situm, c Sole O, in Feliptica plano rideri. Prosreltus vero Planeta usque ad P, c Sole rilus, ab PClipti- ca deriare videbitur; _ (per DeF. V. ELCM. XI.) rectae OP, 8 proinde Planeta ad e e Sole vis, inclinatio ad Fclipti Cam (qux Planetae Latitudo Flelio. Centrica dicitur) mensuratur per ansulum P O E, Polita P F. recta perpendiculari ad Fcliptica planum. Latieudo autem haec FTeliocentrica continuo ausebitur. donec Planeta ad L. perreniat, nempe Limitem; ubi aequalis est in. clinationi Orbis Planetae ad Feliprica planum. Atque inde rur Tus, moto Planeta, minuitur, donec Planeta ad Nodum alterum aeellat it AST RONOMTL PHYSTCA