# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0491 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0491?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 457, page id 1041163592:0491 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=491 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000491.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.90 # 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. PRINOIPLA MATHEMATICA. T. 2B E. H lis = AF, CeU 5o AFE quamproxime. A perpendiculo auteM a YCuFIVI. stella L ad rectam P F demisso, distantia COMCEX CFAE ; L L. Dic Ois, Feb. 27. Hor. 8+ P. MI. Cometxe in Q existentis di stantia a Rella O equabat distantiam sellarum O ec H, et recta DO producta cransibat inter Aellas R ex B. Positionem hujus recta ob nubes incerrenientes, magis accurate detinire nOn POCuI. Dic Stis, Mart 1, HOT. IT. P. MI. Cometa in R existens, RCllis R e C accurare interjacebat, de rectae CR IE DarS C. R paulo major crat quam ZCK, ec paulo minor quam ZCI F JC R, adeoque aequalis ZCR F is C R Ceu +3CR. Die Sii Mart. 2. HOr. B. P. MI. Cometxe existentis in 5, di- Rancia a Bella C CraL = FC quamproxime. Distantia RCllae si a recta CS producta Crat + FC; 8 distantia Aellae B ab cadem recta, crat quincuxlo major quam distancia Aellxe F. Item recta NS producta transibat inter Aellas F ee L, quineuplo vel sexcuplo pro- pior existens Aellae sI quam Atellae I. Dic Bni, Mart. 5. hOr. TIZ. P. M. Cometa existente in T3 recta MT aequalis crat ZMI, ec recta L. F producta cransibat inter B ex F, quadruplo vel quincuplo propior squam B, au- Terens a B F quintam vel sextam ejus partem versus F. PE MT producta transibat exera spacium B f ad partes Aellx B, quadru- plo propior existens Aellxe B quam Aellae f. Frat M Cella PerC. Zigua quae per Telercopium videri vix poruit, et L. Cella major quasi magnicudinis octare. Ex hujusmodi obserracionibus per constructiones sigurarum de computationes (Dolco quod Rellarum A et B distancia cACF 282. 6. 46, 8c Hella longitudo 8 268. 4. 1. 50 et latieudo borcalis 128. 82, Aellaeque B Consitudo 8 288. 40. 24 dc laci- tudo borealis TFS. 1770;) derirabam lonsicudines ec lacicudines COnCEx. Mlicrometro parum actabre conseructo ulus Cum. sed lonsicudinum tamen eE lacitudinum CrrOreS (quatenuS 2b ob- serrationibus nostris orianeur) dimidium minuri unius primi rix luperant, praeterquam in obserracione ultima Mart. 9. ubi poli tiones sellarum minus accurate determinare porui. Cassinus qui alcentionem rectam Cometa eodem tempore observarie, decli- nationem ejus tanquam invariatam manentem parum diligenter delinirie. Nam Comeca Cjuxta obterraciones nolcas) in sine mOcuS