# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0144 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0144?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 126, page id 1040780814:0144 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=144 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000144.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 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. ASTRONOMLA PHYSIC A Lib. I 120 Differentia gnonas elE ditterentia inter RIentionem rectam e obliquam. Faceique de Descensione Oolguu Lurc Incellisenda. In Sphard Parallela, UBI LIOLILOM H0 cum A quatoro RO coin cidit, unumque ex motiis diurni parallelis constituit, illorum LOI (nempe Lenith e Mundi Polus) etiam co- incident: adeoque hac Sphaera positio solis ad Dinos Terra Polos desentibus competit; omniaque Calescia per motum diurnum circulos Aiguatori parallelos describentia, describent etiam circulosTIO rixonti parallelos. Inde nullus erit per motum hunc diurnum ortus aut occatus, nullaque adeo in hac Sphaera AIcenSiODC. scentiore, nullusque Meridianus, cum hic per Polum locique verticem traducatur; cumque hi duo in hac Sphae- ra coincidant, circulum nequeunt determinare, quolibet verticali Meridiani nomen pari jure sibi vendicante. Solis vero phanomena ex motu Terra annuo oriunda, in Sphaera parallela conspicua, Prop. ZEXITT. LIb. P. explicata sunt; competentia nempe alterutrius Poli incolis. In Syctemate rero apparenti patet Solem, dum ad illum ab quatore Polum declinat qui Zenith occupat, perpetuo con- Epici, lemeltremque diem constituere; sicut ex adverlo lemeltrem ehse noctem, dum Sol ad alteras Aquatoris ac proinde FTorirontis partes declinat; dicique ee noctis initia incidere in Solis ingrestus in puncta quinoctialia. PROPOSEPEO VIT ddullo loci est arcus similis arcui elevationts Lod supra LorLCM. Sit acb9 Lelluo, Clsco Cerumt P, foI a aB, A. quator eg. Suma- tur in hujus superticie locus quiris I, cujus Latitudo eAt LC arcus MC. ridiani inter ipsum ee Aequatorem inter- ceptus. Sit concentrica Sphara Caloctis, cu jus Poli, sRquator, _ MeridianuS B, A, F. 9. e BF AO relpondeant Polis, Aiquatori, e Meridiano Terrestribus. Sit loci IZenith 2 _ NTadir n; nempe in recta rI produ. eta intersectionibus cum superticie spha rica Celesti. Ouare HO circulus in Sphae- ra maximus super Dolos 2 d V deseriptus eAt loci FToriron, e Meridiani arcus OB ell Altitudo Poli conspicui e supra Horizontem, quem aio similem elle arcui 2e, Latitudini nimirum loci. Nam quia a e B sunt Poli circuli E. C, CA (per PrOp. X. Lib. I. Sphaeric. Pheod.) ans ulUS B FF rectus; et ob eandem rationem ansulus 2 r0 est rectus. Si erso ab xqualibus P xB, Z. x0 auteratur communis angulus ZFB, rC. ligui