# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1040780814:0464 # Permalink to this reading: https://leibnizlegible.com/page/1040780814:0464?run=74 # Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124) # Folio 446, page id 1040780814:0464 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=464 # Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000464.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine # Lines: 86 recognised, mean confidence 0.84 # 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. LESLLOHOMIE PHISILA 4.4.C quantur cb, 2C2D ad tocum tendentes inter verticeut acnordam intercepta, ipla chorda Tunt in subduplicata ratione rectarum SC, 52C; et superius est ostentum rectas cD, 2c2D eAe fere aqua lc5. (Spatia nempe per qua Cometa cadendo rersus solem in divertis ab illo distantiis eodem tempore percurreret,) et etiam vostigium Co- meta in Oblerratione secunda proximum elle vertici arcus ACB, lC. rectisii portionis Trajectoria à Cometa inter Obserrationem pri- mam d tertiam deseripta. Sed ex punctum zc hoc modo inven- tum non pro accurato Cometa restisio in plano Reliptica vendi. tatur, Sed prosere vero ex ab accurato non nimis remoto. Eitria puncta ere libeat ut Prop. praec. factum; Sed hoc modo operando rix ultra secundam operationem necelse erit procedere: Ht recta conjunsens bina puncta F _ 2F, ex altumpris c e 2C per Draec. determinata, secabit re in puncto o (cui proxinqua admo- dum lunt) accurato Cometa restisio in Obserratione tertia, recta- que P2P similiter iplam r a secabit in puncto x ejusdem Comcta reltisio in Obserratione prima, ut supra octensum cM oportere H- eri cum c et 20 Tunt punctis veris proxima. Determinatum isitur est punctum quod (in praxi ProP. PFXC.) Prima, secunda e tertia vice commodissime altumitur pro vestisio Cometae in plano Fcliprica. In punctis c e 2c modo praedicto praeterpropier determinandis. non raro in Operationibus graphicis methodo tentatira proceden. dum erit, ubi accuratior aut faltem plene Geometrica deficit; ne que opus est Curras minus parabiles, quibus in constructione opus Mhet, hic adhibere. PROPOSTTIO AAVIII quanuo Caa Leduos tenet, deternare. Tisdem manentibus _ per eaIdem literas designatis atque in prae cedentibus, recta OX, o E producantur donec concurrunt in s: jun- Satur 5O, SX, 558. Prius data crant omnia puncta S, Oe X. adeoque trianguli S0X tam latera quam anguli; e pr inde angulus SX0 illorur uni deinceps. POrrO, TL DCF E ducatur E0 ad x0 parallela. recta ou occurrens in o, erunt triangula 00E e EXo aqui ansula; adcoque cum Cx nO tis lateribus oE (xquali OX) et Ou (differentia notarum recta- TU cOeE E X) una cum angu. lo recto aoE innotescunt reliqua latera e anguli, innotelcent c an- suli criansuli ExS: Sed datur in hoc triansulo larus unum XE: Lib. V. Fddem methodo determinabitur punctum 3C Cx 2C quO 2C CxC Dositionem Lineae Koaa Laecora Coara, Tempusque dabuauua L cabi 5bX ASIt Tire nota X15 moc nota exine One L1a) cujus ques Tras (Der XI men aDDC Teir area Tune Duse Coir Ca InV tur O5 inde rect angi Tnel Fcli Pro CiEC nec