# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067968:0034 # Permalink to this reading: https://leibnizlegible.com/page/00067968:0034?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9 # Folio - , page id 00067968:0034 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067968&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/00067968/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 70 lines, status machine # Lines: 70 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. 20d21 = eta1o Erho log 11 = 109. 20 + log. const. Nuper Guelfebyti cum simo Ut burgio locutus sum, et quam exprom X dx dax dddx dx etc X EXdx + 2xacu 2Xd3x 2XdEX 2X d 2dx (Edxla (XAx dX (2 dx d X Dxdux sOux aXx LeAX X cddx At dxdX 4dx dex (1d x 43 2X dex (2dx dX 12(10 dX dX 2X dX 2 ax 46X Taxa (12 d XdX X0xd BONXA. 20 2Od. XdEX (3Xa) XF 20 dX 40 dX dX seu scribendo ordinatir distinctius 2xdx 2Xd X 2XdX 2XdX 2Ax 6dxeex Bdxaex 10dxaX I dxaX 6dX 20d XaX 30 dxd 20dX 70 2XdX 14dx dex Mraxd5X 70dxdXX Comite Schvars- opparet etiam elegans lex Homogeneorum linea ata. 35. 5b eu posamidius tauscendentatium, nam non santum nam non tantum observatur, dq pulgaris sed et lex specialis, ut scilicet ext indices differentialitatis semper eandem summam - gponant X = dX X = d A dXX homoy. cum X dX axsit constans, aeerit ipsius s differentia nihilo aequalis erit ipsius X, differentia 3tia, quinta, st septima, caeteraeque impares 11. 20, 21 =1 20. 20 =0 son 2 20 = 11. 21: 12 sit d 20 = d11: 12 21 + 11: 12 d21 et fit EIL 2I. 12 H H. EM de (d2I. 11. 2P.12) = 10, 21. 21 + 21411. 12(+ d21. 11: 122 ab 20. 4 290i et d20 = 21d40 +4Dd21 + d41 20 = 40. 21741 e. 11. 40. 21 (+ 7 40. 21 d2d = 12. 40. 21 + 10. 212 + 25 d40 40. 21 d21 sit 20 = 40. 21 + 41. firt 11. 40. 214 40. 21 d21) = 12. 40.212+10. 21+ 21 dg0 + 90. 21 d2)) 11.41.21 + 41 d21 212. 40. 41. 21 12a + 21d41 vivellatur in duas unam ubi omnes habentes 40, restabit 11. 41. + 41 d 21 12. 41 +21 (4 quae solvi pr. ex 41 onsi 21 esset cognita. sed altera in qua est 40 dat 21 et 4 haberi pt pro constante. Ita ibimus per gradus s ax 2XdX Hinc apparet progressio differentiarum ipsius In qualibet linea sequestretur pumus terminus qui est repetitio praecede is in priore. ce reliquo linea Hincani dimidrata dabit 1. 1. 1 ne ida dabit dimi idrando 3, 4,5. 6.7 linea 3tia similiter 10. 15. 21, hiangulares