# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067970:0028 # Permalink to this reading: https://leibnizlegible.com/page/00067970:0028?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11 # Folio 14v, page id 00067970:0028 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=28 # Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.93 # 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. A. C.B. A. B 85) Si duobus in tractu punctis manentibus A. D immotis, moveatur ipse tractus linea quam punctum in eo mo ejus motum describet dicetur circularis. An autem possit tractus aliquis moveri duobus punctis manentibus immotis, etiam non sumendum, sed demonstratione definiendum est. A. C. B. _ A. V. B erit dicetur e co Y linea circularis. et b si sint quotcunque puncta. C. D. E. F situe A. B. C y A. B. D 8 A. BEy Ap dicentur esse Haec in una eademque circulari definitio lineae circularis non praesupponit dari rectam et planum aut lineam rectam. Quod facit illo Enclidis definitio 86). Si sit BG A. C ducere per punctum AC. lineum cdX, ita ut sit Z. B 8 L. C. Hoc fit si punctis A. B immotis per C. describatur Linea cirncularis Sed idem fieri potest etiam aliis lineis descriptis iItaque (86.) Locus omnium punctorum quae eodem modo se habent ad duo puncta A. . quem admodum ad B. appellabitur planum. Sive sisit si sit A A et YB A. Y. 8 B. X. erit Y) planum. (87) Linea circularis est in plano. Hinc si sit Y linea circularis descripta a puncto sit A. C. B g A. Y. B. sitque A. C ∞ Y C. B. (adeoque et A. Y. e B. Y.) erit Linea EoZ circularis in plano. An autem omnis circularis sit in plano postea definiendum est. 88) Locus omnium punctorum sint a ABG BCG AC. sitque _ A. Y. Y B.Y. y C. Y. erit cor. Seu Linea Recta (89) Si sit, A. V. C A. (X.) erit vee Y colidum quod dicitur C superficies Sphaerica (90) si sit A Y. 8 b. F.