# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/820424455:0055 # Permalink to this reading: https://leibnizlegible.com/page/820424455:0055?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 33, page id 820424455:0055 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=820424455&page=55 # Source image: https://digitale-sammlungen.gwlb.de/content/820424455/jpgs/default/00000055.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.92 # 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. 1 la Cap. 3. AASTEONOMTA Boraria. Conslarum ex toris; minuris se secundis a meridie compurarum ostendic iptum momentum culmi- nationis. Probl. 9. Datotoco Solis, vel fixe cuiusvis; ascensionem ojns, es descensionem oblignam, nec non amplicudinem orri- vam es occiduam invenire. Datum locum solis, vel fxx, adjunse Horixonri orriro, ee noca gradum Rquacoris, qui una alcendie, hic enini vocatur A(censio obliqua Solis, vel Rella. Tum a cardine Orienris; hoc est; ab interfectione Equaroris ex Horizontis ad locum ulque Solis, vel BxX arcus in Horizonce interceptus, est amplicudo sideris ortira. Sin eundem locum Solis, vel stella, adjungas Horizonei occiduo; erit gradus Eguatoris una descendens, Descensio obliqua Solis; vel stellx. Fic a cardine Occidentis, hoc est, ab incersectione altera Aquatoris e Eoriconcis ad sidus ulque occidens, arcus in Hlorizontenumerarus, est ampli. tudo Solis, vel stellae, occidua. Probl. 20. Darâ Ascensione solis, vel fixa, recta pa rirer acque obligua; dimidiatam eorum moram suyra vel infra Florizontem, nec non concitudinem dici noctis; bo- nam item ortus et occasus Solis invenire. Dari Cideris Rlcen- sionem rectam auter ab obligua vel obliguam a recta, pronc haec rel illa major minorre exrirerir; quod rectat, est differentia ascensionalis. Hlanc converres in cempus (quem admodum supra Problemare 8. docuirus) quod declinante Sdere versus poluri elevatrini, addicum sex horis, declinanre aurem sidere versus polum depressum, derractum sex horis, ex- tibet dimidiatam sideris moram supra Florizoritem; ae tujus completriencum ad EZ horaS, eA dimidiara Cideris mora Intra Hlorizonrem. Dimidiaca mora Solis supra HorizOntem (I computerur a meridie; extabic hora Oceasus solis; ac di- midiara mora Solis intra Horizontem compucaru a media nocte, extriber tioram Orruis Solis. Porro dimidiara Solis mora supra Hlorizoncem si duplicetur, extac longicndo diei; d simi diarx morae intra Florizonrem duplum est lonsicudo noctis. Quod li indicem horarium aptaveris horx duosccime, cum