# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0370 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0370?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 352, page id 1040780814:0370 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=370 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000370.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.89 # 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. ib. IV 352 ASTRONOMLE PAPSICA e Terra, normalis ad Dilcum Terra Dr, C. a lo Lunx iIl l Occur. rens. Sit sL Orbita Lunx, in qua P. Luna; soM Rcliptica; L. M stantia ex r apparensinter Solem e Lunam, L unx Parallaxi horizon cali aequalis. Juneta SL producatur donec Terra Disco Dr occurrat in r, ubi centrum Ombrae Lunaris in Dis. Cum TCTTK excePEX verlatur. Dico anSU lum rmr aequalem esse STL. Dictantia ap. parenti Solis e Tuna e Parallaxi Solis horicontali simul. Ducatur L. R parallela M I, e iunsatur MR. Guoniam angulus TuVa qualis est ansulis rmR e rur simul sum- Peis, angulus autem TMR (per PrOP. XXIX. Lit T.) aqualiS L. R MI, hoc elE (ob riciniam DUN- CtoruI R C Y) L. TMI, es R Mr (ob eandem ra- tionem) ips RLV, sre (Per PrOP. XXIX. FI. T.) T.SM aqualis; erit rur aequalis ansulis L TM CC L. SM Sinul Cumpris. Porro, quia ansulus L. TM Supponitu Parallaxi Luna horizontali aequalis, e L. Luna; exit Distantia pun ctorum L. e m Semidiametro Perra aequalis; (Parallaxis enim Luna horicontalis est ansulus in quo Terrae Semidiameter videtur ad distantiam aequalem distantix Terrae e Luna:) adeoque L. Sut ansulus est proxime horixontalis Solis Parallaxis, (ansulus nimi rum in quo apparet Terra Semidiameter ad distantiam Solis e Terra, hoc cs, fere ad distantiam Solis _ LunX,) _ anontuS L TML est Solis et Lunx Distantia ex centro Terra vila. EF igitur an sulus rur aequatur Distantix Solis _ LunX ex TOrrR CentrO risa _ Solis Farallari horizontali tumul Tumptis. Fodemque modo E arCuS LM sit Semissis, Pesquialter aut duplus Parallaxis Luna horizontalis; erit angulus rmr aequalis L. TM d semitti, sesguiplae aut duxla Parallaxi solis toricontali. O. F. D. PROPOSTTTO XL.L. TOnlla esiS Novilunium futurum sit Fctipticum, hoc est. nam in qualibet Terrae parte Sol partialiter aut totalite deficere videbitur, determinare; si futura est Fclipsis, ejus Spe ciem desinire. RCFCraL DCC Fellurem, in qua Poli rerolutionis diurnae sunt e punctum que huic oppositum latens. Fremisphaerium in Schemate conspicuum idem sE cum illo à Sole illustrato; adeoque DCC cir culus, cujus contrum r, Flemispharium illuminatum ab obscuro di serminans, cujus planum est Terra Discus. In planum Disei Fel luris Dco excepta intellisatur Ombra Lunx à Sole facta: erit haec sIC exCePEa Forma circulari, DUTa AM, CujuS CenErUM Y; quia conus penumibrosus est rectus, ejusque axis ad planum Dilei Per pendicularis fere: nam de calu quo r à r non mulcum distat nos tancum lequimur, cum in hoc (olo L unae Ombra Terram attinsere DONIt, te eur M D