# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0503 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0503?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 485, page id 1040780814:0503 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=503 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000503.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 77 lines, status machine # Lines: 77 recognised, mean confidence 0.85 # 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. teCUM Ddos P 1IIISC In tene 121 plaH et 1a 11F Ha 1c bitura. nCcet avet FuI lio ho erie nocl 50le billa Opt spta ridies l COVC 111. 1 en im LIB. VI. _E GEOMETRLCA PLEMENTA. 485 lis motum explicandum) superinducet Fpicrclum, Solemque in hoc ponet diei sux spatio circumrotari, dum interim P picreli cen crum in Fxcentrico motu annuo desertur: Sic enim hiet ut Solis inaqualitas diurna ab Astronomo Lunari obserrata explicetur, II. dum incola Lunari qui Terra directe subjicitur nox est, Solem in inferiori Fpicreli parte, ec dum eidem dies est, in superiori verlari Donat. Sic Rxcentrico Martis circa Terram disposito ejusque Ppi- erclo à Terricola excositatis, quibus Martis motus e quiescente Tellure apparens explicatur, superinducet Lunaris noster alterum Epicyclum in prioris Ppiey eli circumterentia delatum, spatio Nych. chemeri a Marte percurrendum. P.Aque hic modus unicus, quo Astronomiam Cuam condere possit motiis sux sedis ignarus e ii lius quietis vindex: nempe circulum à se luoque domicilio revera percursum in Calum, inverso situ, transterendo, motumque in eo pari tempore tactum supponendo; _ quidem rerd ejus magnitu. dine retenta, s distantia vera innoteseat: si autem hac lateat (d nulla supertunt media, quibus in hac quiescentis Lunx hypothesi dignosei pOsTIE) tanta saltem magnitudinis ponitur Ppicrclus, ut ex Obserratoris loco aequalis magnicudinis videatur, ac ex cadem distantia videretur ejusdem loci vera Orbita. Sin Incola hemi- sphaerii Luna, cui Terra imminet, motus sui domicilii circa Ferram Terraeque circa Solem gnarus ponatur, ex obserrationes instituere possit aque accuratas ac qua a Terricolis tiunt; po- terit hic Solis, Planetarum que Syctematis Solaris, Magnitudines e Distantias mutuas cum Tuarum rerum magnitudinibus d di stantiis exacte Patis comparare. Nam sux sedis Diametrum me- tiri pocerit, similiter atque nos Telluris nottra. POrro, FOtIu. ris Distantiam facile cum Luna Diametro comparabit; nam Funx Diameter subtendit angulum satis sensibilem ad Tellurem nempe gradus semisse exprectum: Atque Diametrum Orbis sui circa Terram tanquam scalam adhibebit, qua religuorum corpo. rum mundanorum Distantias exquirat. Ilaec enim subtendit an culum ad Solem gradis triente expressum, positd parallaxi Solis d Terra visi sO tantum; qui vero ad Martem Soli oppolitum ad gra- dis fere bessem ascendit, et ad Venerem Soli conjunctam de retro. sradam sesquiquintum gradum excedit. Porro, Lunicola iisdem modis exquiret rationes inter Planetarum primariorum Distantias a Sole, quibus Perricola; notis vero Diltantiis, ex Planetarum Diametris apparentibus illorum Magnitudines cruet. PROPOSTTIO IX. Raecipua Felturis Phaenomena Oculo in Luna collocato visa describere. In Luna duo sunt FTemispharia omnino diverta, immo contral las respectu Phanomenon, de quibus Propotitione hac asitur. In a1. tero enim Luna Fremisphario Terram perpetuo vident, in altero nunquam; nisi quod proxe horum limites tractus sit, cujus incolis Terra