# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/820424455:0105 # Permalink to this reading: https://leibnizlegible.com/page/820424455:0105?run=74 # Title: Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione (shelfmark Leibn. Marg. 63) # Folio 83, page id 820424455:0105 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=820424455&page=105 # Source image: https://digitale-sammlungen.gwlb.de/content/820424455/jpgs/default/00000105.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.77 # 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. uI eM 1I Ol a13 d0 AM st re a1 il in R. est Vab get 1 net Ul tid 2C. ali 10 d Sect. ASTEONOMTL ob rationem diversam evenire verum est, hoc est ance d post eas promotionem lunx in Epierclo recardari. Cxreinim arCuS YR sive angulus rBR, quo Apoceum medium differe a vero, vocatur Prosthaphaerelis, seu Aguatio cenrri, eAque aequalis angulo 6bT. Sed inter lineas medii morus Lunx rI, _ veri morus ejusdem TL (a Terra Der L UNX COrpuS trajectam) intercepcus angulus n T L. dicitur aequario AP- sumenti. Fic cum illic prosthaphaeresis ceneri addatur ad arsumentum medium, ut habeatur verum, si centrum Luna tuerie minus sex signis; subtrahatur, S majus: Hic rursus aequatio aroumenti subtrahitur, si centrum Lunae lic minus sex signis; additur, si maju5. 5. Cum vero ulicatum sic in veceri Astronomia supputare mxequalitarem Lunx (exrerorumque adeo Planetaru) Pex excellum ex Scrupula proportionalia, ne prorsus expers lic Lector hujus quoque doctrinx, brevirer lic habenc: PrO- lchaphareles Fpicpclicas v. gr. rYL. propcer accelsum Epi eveli ad Tellurem augeri, adeoque ror varietares admirtere, quor sunt distancix diveriae ipsius Fipieveli a Terra. AIqui ad cam varias distantias suppurare velle prosthaphareles Luna in quovis Epicreli grada verlantis; opus esser molis inlana. lraque suppurarune vereres dictas procthaphaereles ad duus tancum Fipieyelidistantias, maximam videlicer de minimam: unde hebane minima quidem prosthaphaereses Epierclica competences Lunx in Aposeo Eccentrici verlanti, quas retere- bane intabulas; maximas vero prosthaphaereses Fpicyelicas eodem calculo invenras, congruenres scilicet licui Epiereli Perigeo, non quidem in cabulas reterebane, sed differentias, quibus hae superabane minimas, inserebane nomine Excessus, uirili in 60 scrupula. Tum cuiris distanciae Ppicveli à lerra adjiciebane Scrupula Proportionalia, ostendencia quantum de COTOExcesu, seu maris, auemenro procthapharelcon de- Berecur cali vel cali licui Fpieyeli incermedio incer remorissi- rum e proximum. Nam ductis scrupulis proporrionalibus in torum Excessum, prodibat illis porrio adjicienda ad pre- Phapharelin quamque Fpiercli AposCi, ut eraderet julta prO