# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0204 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0204?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 186, page id 1040780814:0204 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=204 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000204.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.95 # 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. 186 ASTRONOMLE PAESTCF Laticudinis circulum refertur: similiterque Lonsitudo Sola quan. doque afficitur, immutat a L atitudine; nempe quando Phaenomenon CM in Feliptica per Zenith transcunte. F. X quibus constat Phaeno. meni ad orientem ab Feliptica sradu nonasetimo positi Lonsitudi- nem per Parallaxin auseri, quia adhuc masis in orientem ab hac causa promoretur; inde ad occidentem rero potiri Lonsitudinem minui: unde praecer alium ominem motum Phaenomeno compe tentem, ex Parallaxi moveri videbitur, quoniam ob mutatam Par- allaxin ejus locus risus mutatur. Atque motus hic, qui non ve rus eM sed vitus, Parallaxis Motus a quibuldam dicitur. Ouaque de Phaenomeno respectu Feliptica ejusque Sccundariorum, de c0. dem ad Aiquatorem relato limilirer sunt intellisenda. EROPOSTTIO XLVI tantia Phaenomeni à centro Terrae est ad semidiametrum Terrae, ut sinus distantiae apparentis à vertice ad sinum Parallaais. Sit F centrum Perra; locus in ejus superticie L, cujus Zenich 2. FTOriZON TE; Sitque Phanomenon in P. FA. que (ex notistima triansuli rectilinei proprie tatc) rP ad rL. sicut tinus anguli T Le (sire hu- jus complementi ad duos rectos Z L. P) ad sinum anguli PPL; hoc est, distantia Phaenomeni a centro Terra ad semidiametrum Terra FicuL sinus distantia apparentis à vertice ad tinur Parallaxis. 9. F. D. Hinc datd Parallaxi datae altitudini competenti, dabitur distantia Phanomeni à centro Terrae, ec rieistim. PROPOSITIO ZIVII mus distantiarum apparentium Phaenomeni à verrice sunt sieul Sinus Parallaxium. Ftenim (Per PFOP. PrXC.) sinus distantix apparentis à vertice cAt ad sinum Parallaxis ut distantia Phaenomeni à centro Terrae ad se midiametrum Terra; hoc cA (in eodem Phanomeno) in ratione constanti. Ouare ut sinus distantixe apparentis à vertice in prima obserratione ad sinum distantia apparentis à vertice in obterrati one quaris alia ita sinus Parallaxis in obserratione prima ad finum Parallaxis in secunda obserratione. O. B. D. EROPOSTTTO ZLVMI Vorum Phaenomenon inaequaliter à Terrae centro remotorum, quorum aequalis est distantia apparens à vertice, Parallaves sunt reciproce n distantiae à centro l’errae. Reliquis ut prius designatis, sint duo Phaenomena e et P in X quali II.