# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/820424455:0176 # Permalink to this reading: https://leibnizlegible.com/page/820424455:0176?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 154, page id 820424455:0176 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=820424455&page=176 # Source image: https://digitale-sammlungen.gwlb.de/content/820424455/jpgs/default/00000176.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.82 # 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. Lib. IL 23 ASTRONOMIA IIam f+ = a 5 .). p5 FC f5 = a5 - p5 Der V Der s FEca frest anomalia media, qui Angulus, cum sIE externs angulo sfF, sequalis est duobus incernus _ oppolIS _fst, hoc est angulus a fr eAt Z. LLignororum f _ fst, Acqui per Regulam Trigonometricam: ZII. XI:: 1=L LL. 1= X LL, hoc est, f1)f5. ft- f5:: FE AnB. aft. 1= X L f158f51) Hoc est per incerpretarionem 2 a5. 2p5:: tE Anguli afr. += Anguli fse : Nam fF = a 5. Ps per V adde primum, e Et f5 = a5 - ps per SG Tubirate, EC 2. = f1 1 f5 = 2a5 = ft - f5 = 2 P5, CrBO 22. = a5, 2X = p5. RurTUS Z Lfst _ f15 = f5+ - f15 ec pro fts substruendo est, fE X =fst - cst = fse, ErBO +ZZ L L. = t= Anguli fse treo etiam = ZI. EXII :: tEI LL. Id est Der E a5. p5:: 1 Anguli aft. + Z Anouli fse, Regula perpetua pro prima insequalitate Planerarum inreta Sanda. Enunciatur aurem verbis SIC: Ut distancia Planela aphelios, ad distantium perihetion; ita cansens dimicta anomalix medix, ad tangercem dimidix anomalix COxqual2. Ec quoniam distancia Planieta ram aphelios quam peritetio conttancer est eadem, liquer quod priores duo termini pro polux aralosix semper linc iidem, nimirum in Sole, V. Gr. L0g. us distantix maximx relluris 4300775 L08. us distantia minimX 3, 99216 1. Unde per Regulam proporcionum: Diriso secundo DrimuIB,