# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/820424455:0033 # Permalink to this reading: https://leibnizlegible.com/page/820424455:0033?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 11, page id 820424455:0033 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=820424455&page=33 # Source image: https://digitale-sammlungen.gwlb.de/content/820424455/jpgs/default/00000033.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 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. CaP. E. AASTRONOMTA. Praecetea Tunr alii quoque paralleli spatio distanres, quanto Dpus est, ut maxima dies augeatur horx quadrante de pa- rallelo in parallelum. Cum enim sub ipso Aquatore, ubi ambo poli in PIOriZONLeM PTOCHMBHNE, DExPETMU BE aequinoctium, quod Horizon ili ee AEquatorem d urrum- que Fropicum, omnesque adeo parallelos diurnos xequalirer bisecet, uc quemcunque Sol parallelum decurrar, tancundem remporis moretur supra Horizontem; quantum intra: S recedas inde versus alterurrum polum, ita ue eleverur Me quidem, de deprimatur ilte; cum vero Tropicus, qui est Polo elerato vicinior, majori cui parre extabit supra Hori- zoncem; unde necesse est, Solem, dum in eo verlatur, diucius morari supra Horizonrem, quam intra, atque (IC lonsior eradic dies Colsticialis, quam 22 horarum: Dico roicur, si quo cerrae loco excessus diei Coltirialis Tupra 12 horas sic unius horx quadrantis, cum locum licum esse sulo erimo parallelo; si dimidiam horam implear icte exceMus. locum esse sub secundo parallelo, vel quod idem valet, luto primmo elimace. Ouemadmodum enim paralleli quadraneis horx, ita climata semihorae augmemris distinguuNEur, uE nimirum media parallelus aliquis dividat, extrema urrinque bini paralleli limirent. Poreit aurem iste excessus diei (0l- stirialis supra r2 horas elerato masis masisque polo auseri continuo, donec pervenias ad polarem circulum; ibi enim cropicus unico puncto Horizonrem ransens torus supra eun- dem eminers unde tic uc Sol eum decurrendo non occidat, led cerrro suo Florizoncem perstrinsens describac diem 24 horarum. Acqui 24 horarum dies excedir aequinoctialem aliem horis 12, id est 24 semihoris, vel 48 hora qua- drantibus. Unde conficicur candem, numerum eliatum ab requinoctiali usque ad volarem circulum esse 24, e Pa- rallelorum 48. Duamvis aurem haec sele ira habeane, 1a- men veceres elima primum posuerune non eo loco, quo dies Solpicialis est horarum r2 cum semisse, Pieur oporruiset; sed omillo, nescio quare, primo climare rncurali, volue. runc primi elimacis medium parallelum rrantire per Meroen intula