# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068606:0005 # Permalink to this reading: https://leibnizlegible.com/page/00068606:0005?run=74 # Title: Leibniz-Handschriften zur Varia Physica LH 37, 4 # Folio 3r, page id 00068606:0005 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068606&page=5 # Source image: https://digitale-sammlungen.gwlb.de/content/00068606/jpgs/default/00000005.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine # Lines: 22 recognised, mean confidence 0.85 # 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. sumtis in circulo F cujus centrum A et circulo G cujus centrum B punctis duobus quibuscunque ita sibi respindentibus, ut anguli FAB, GBA sint aequales sectaque recta FG in ratione data semper ead vaeritur locus omnium ob triangula 5CB et FAd, in i AB. Rursus t probucatur primum doraittantur perpendiculares q to b et Be vocetur X. GCY BG b, AFa AB AB: XI: FB: y:: a. b seu AD = Xa b et FD = ya. B. HZ, LH, L oum rectae AB Occurrat in E EFD EGC similia fore CA+ AD seuXa: b ad EA + AB- BC seu ad EA +C -X ut F8 ad GC seu ut a ad b seu EAb + Xa = EAa + ea -Xa. seu EA = ca - EXa,: b - a. porro DH ad DC est in ratione L ve data FL, ad FG quae sit : merf: g, et DC = C - X - X a: b. Ergo D H9 = cf - Xs- Xta: b (quod ut possumus faciamus = b fiet DH = eb - xb -Xa: 9) et AH = Xa; b +c ef: 9- Xx f:g - Xfa :b9 = h sen A hb9 = Xag + Cfb - Xfb - XFa. seu X = h e) b9 R - csb, : ag. 5B- fa rursus LHseu l: EA+h seu ca- Exa + bh- ah: b-a:: Eerse EC. GC: EA+ C- X: y ii EAb+ Xa, +47 sict seu laq= EA b + Eat ax + chbh+ taxt +hxa Calculus absilvendus