# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0325 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0325?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 163r, page id 00068195:0325 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 164v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=325 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000325.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine # Lines: 112 recognised, mean confidence 0.75 # 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. (B4 27 R4c2 =9, 2 2 - 29, duidam pr 144 2 Rq (R99 2) R92 Aq =) cleg2 eahrit 23. 2 Cnodom 2. ) (892 (B4 R9 2) 9d2, -2 a9- (eq a (e) at R927 A9c a 24 Fiet 29 = 19c 49 = 2, vel Aq Rq-e 44 = bq ja 24 ca=2 Et Primum investigemus C de R4 2 quod ita fiet. a+ 4= F4 (R42 Habeimus +4 9 a a. bi ed (Aqu na Ngo2 tpaz sa 444 ad Quaerenda nunc ratio est eliminandi istud. 2. 25 RG - 2. etiam si enualiari potest: a Ao 3 1o = 19 (2a -2 a A9 a fiet a R9. 2 e - 1, = 2a - 2 = R9 2 1s -1, + 2 = ta R9 25- 2 + 2 - 2a = R9 2 - 24 Et si reliquam quoque: A4 multiplicemus per Rq. a seu 19 a2 fiet Rq 2. Et habebimus: Ag2) R9 224, ita omnia in circulum rediere nihilqus sive in a, sive in 2. eliminando actum est. Ergo tentemgaliam lationem: in hac constructione vS at= R4. 4 = 23 Rg- 2924- initio q initio R , 2 C2) eq 2d = Rg. 2, - 2a, (244 2) A92 Husus Xtumeris (21f2a) = R 1 = R. (42) 2 mterit 1- A4C1= 3 Cer 13 Oodatur per 49 c et Hujus producti sumatur (n habelinus: sumatur nurtu huus ftip tam, hato aa eg 1- 11- Laterum c itaest Circum) Si Terminico 2 m qtd 1- R4 1- ab, Ngq 4c 2a 4) hametrica in infinitum continu si sit progressio aliqua cujus primus terminus sit ut sonem Radius circuli, et caeteri termini sint et sequens terminus habeat, ad praecedentem; Rationem: cC m ERqqude 4 to apraecedente Termino semper supposito. 2a Summa hujus procressionis demto erit differentu inter circumferentiam Hexagoni circuloinscripti seu Radium sextuplicatum, e circumaserentiam arcul dividere perkgq2. et productum rursus per R49. 24. est dividere per Hoc dividatur per R92 R442,= eaque qu 122V. Est ergo idem quod divit unia 92 s. N. b1 21) dividatur pert. A ista autem quantitas verte. ha Multiplicet pE 194. net. a