# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0338 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0338?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 320, page id 1040780814:0338 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=338 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000338.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine # Lines: 70 recognised, mean confidence 0.83 # 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. 320 Ascentio recla, e conseguenter Ascentio recta Punteu oo nempe centri Ombrae; hoc est, rD: Dabitur isitur ACcentionis vera vD e apparentis re difterentia BD, sire (quem arcus hic mensurat) angulus BPD. In triansulo sphaerico a PZ dantur tria latera; nempe Pz complementum Altitudinis Poli, 2 a complementum obserratae Altitudinis apparentis Lunx, ec ae complementum observata De. clinationis Lunx apparentis; dabitur erso Z. a P ansulus. RurTUS, iM triangulo var dantur duo ansuli modo inventi r AP _ VP a, cum latere intercepto aP; invenictur isitur latus a V, Lunx Parallaxis; dud data, invenietur per ProP. XL. VI. L.ib. II. quaesita Luna Distantia a CentrO PerTA. PROPOSETTO LKLLI. Unae Distantiam a centro Terrae, ado mrC, per observatio Inem determinare. Delisnet ou Terram, cujus centrum r; 0 locum Oblerratolto. Sitque 1. Luna in priore obserratione, quando iptius Dictantia cam a Terra centro quam ab Obser- ratoris oculo (nempe rectae FL, OL) per pracedentem determi nata sunt; e immediate ante vel post Defectum Luna ictum quo obserratio dicta facta fuit, obserretur T una in L diameter apparens. sit jam Luna in alio quoris Orbita lua loco, ut ad 1: quaritur rY ejus Diltantia a Yel. Juris centro. Obserretur Luna in 2 dialeuet apparens; eAtque (ut vulso notum) oY ad or ut apparens diameter Lunx in L. ad ejuldem diametrum apparentem dum cst in L; hoc cA, in ratione data; datur erso ipsa Ol: Sed per Altitudinem apparentem Luna in 2 datur angulus V0r; in triangulo isitur 10r datis lateribus Ol,or cum angulo 20r, invenietur XY Distantia Lunx à Terra centro. 9. F. F. Non eut Opus uc dial appasentes l cicut pallioo Plati exprimantus, sume s harum ratio ad inricem obserratione inno telcat: Nam arcus hi aut anguli non comparantur cum aliis an sulis aut arcubus per circuli partes expressis, sed tantum inter sc; horum enim ratio inversa est ratio Distantiarum Lunx ab oculo temporibus obserrationum. Saris isitur MM h illa Mierometro Lelescopio aptato obterrentur, et tlorum Distantix, in aquales parces dirisa e per illarum numerum expresta, HOTEnEUT. Lib. IV. ASTRONOMLA PAFSTCE pn aut Om nOII susn sec 8 mor ii min. ne cilio i Sei ec rane eu eurs ex at Dro e non CO Pot re