# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/820424455:0213 # Permalink to this reading: https://leibnizlegible.com/page/820424455:0213?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 191, page id 820424455:0213 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=820424455&page=213 # Source image: https://digitale-sammlungen.gwlb.de/content/820424455/jpgs/default/00000213.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. Sect. 3. ASTRONOMTA. in criansulo BsC. dantur L. sB primum a umT2; 2. sC modo invenca, 3. BsC ex oblerrationibus; ergo invenie- Tur SC sBC _ B C. Deinde in triangulo BfC ilosceli quod fB, fC sine radii ejusdem circuli) daneur omnes anguli, liguidem B fC notus est ex praecedentibus, _ re- liqui fBC, fC. B simul sunc ejus complemencum ad 280gr. ademque eguales inter se; datur vero ee latus B C nuper in- ventum: Frgo invenietur fB. Denique in triangulo fs B dancur r. sB primo omnium aNuMEa, 2. fB nuper inventa. 3. Angulus fBs, subducto nimirum sBC ex fBC: quare inveniri possune de anguliienori, de latus fs distantia focorum in parribus, qualium sB asumta erat r00000. Unde inveniri porest eccentricitas in parribus, qualium distancia me- dia Telluris à Sole supponitur 200000; dicendo: f B nuper ivenca (eadem que aequalis ip(i de dinmetro maximx ellip(eo5) dac fs itidem inventam nuper; ergo = a0, live dictantia media Celturis a Sole suppolira 100000 parcium, dabit =F5 Cve Eccentricitarem in parcibus similibus. Postremo Tubrrahes FBs modoinvenrum, vel huic requalem b sB ex dato dsB, ut restet d sb angulus, quo locus medix obserrarionis b di- Itac ab aphelio d. Unde daro ex observarione loco b dacur limul locus aphelii Telluris d. Modus hic inveniendi aphe. lium ee eccentricitarem primum ab Ferisono propolicus, deinde à Thoma Street hypocheli ellipriex applicatus (licet hic circulum deseribat ex Sole, quem nos e superiori Loco maluimus, ut coneruentia esset major cum lineis Schematis LIX. adeoque minori conceptuum varietare minus Facisaretmr Lector) modus hic, inquam, Ceometriee praestat uerum que inhyporheli D. Wardi _ Ciomitis Pasani, neque delidera cur aliud, quam uc ipla hypochelis masis consentiret cund Colo. Quiare ue limitationis quoque Bullialai ratio habea- Cur, opus est repetitâ operatione, qua per proximé acqui ultam apogei sedem, e eccentricitarem invectisetur ano malia media. vera ad cres observationes datas, quemadmo dum Capire XXII. docui, ee per ictas anomalias medias. peras corrisantur anguli ad f, puta afb, bfc, afc, Gus nun