# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0438 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0438?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 420, page id 1040780814:0438 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=438 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000438.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 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. ASTRONOMLE PAFSTCA. 4.20 meta quarto obserrato) et L atitudo Cometa ad dictum ex punctum, (Tc. in triansulo spharico rectansulo duo latera circa angulum re- ctum;) dabitur Inclinatio hypochenula sive Vix Cometica ad L. clipricam. no LCliPEICa, neMDC PHNE, Sa I Spatio Mundano Orbita ML. N, punctis N, H, B, M e L eadem qua prius denotantibus: Cid PIaEUT P R ad EM ut spatium inter Obserrationem primam Tem Pulque datum, ad quod Cometa LOcus quaeritur, ad Tempus inter Obserrationem primam ec quartam: Inveniatur POrrO (Pex PTOP. XVHI. Lib. IHI.) Terra Locus ad Tempus propositum, sc. e punctum. Rectae ex, cujus ucrumque extremum punctum a e x nocum elly L+V. V. momentum quando CBMMILLA CH IH LOUO dCCuI Ceiam LOcuS Terra d ictud momencu, dabitur (per LO. Dat.) poscio recta puncta hacce conjungentis, HC eAt, Lonsicllao Concca in irodo verlan. tis. Porro, quoniam dantur Distantia PTodi a puncto H (L. OCOC0 invenire PROPOSITTO XTII PEx PrOP. PraC. determinetur restisium Orbita Cometa In pla- Isdem positis, ad datum Tempus Locum Cometae e Ferra visum Dolitio (per 26. Dat. data) dat Cometa Fonsitudinem guasitam. POrTO, CapIatuT R V ad R N SICUE M F ad P N, eritque L atitudo C0 metae ad Tempus datum angulus cujus radius eA OR _E tanSCNS recta RV. Atque Notus Cometa F phemerides hoc modo construentur ret sraphice vel per calculum. SCFOLTUM. Similiter invenietur Distantia Cometa d Terra, vel in Perisxo vel ad Tempus datum, tam curtata quam in sua Prajectoria, in Partibus Diametri Orbis magni exprecta; angulus item quem CO metxe Trajectoria continet cum recta Cometam _ Terram jun sente; vel quem Orbita rostisium in plano FCliptiex continet cum recta d Terra ducta ad Locum Cometa in F Cliptica. GOROLLARTUM. Hinc Maenicudo vera tam ipsius Cometx tuctei, quam huic circum.