# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0135 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0135?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 68r, page id 00068255:0135 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 69v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=135 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000135.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine # Lines: 73 recognised, mean confidence 0.77 # 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. tos supere st ut in aequ. 10 excolvamus 112451C, 3231723.. jam _5i =, _ - (5. a) 23512: 123. ergo fiet 2to) 1t SI2 = 112. 123 = 23512.157: (23 et 32 +712 = 312. 323a =23712373:323 et 123+523 = 112. 123a +12525. 15,: 112 et 323+723 = 312. 323 a + 12723 37:312. Unde jame fiet unde jam piet (4to) 12 +512, 323+723 = v12. 1234 23515. 15, 312. 323 a + 12725. 37, (, 123. 512 112. 318 C. . E2 22. 22712 teur 351323A2 nSL3. 12723 23512. 127233 12533. 23712 C2ye. 2371 + 12523. 12723 articuti praecedentis. Ex bus auterioris nempe decimi y 512. 712 A seu +0 1292 3. 23712 (2523. 12723 12. 13a + 12529. 15, 3 . 329 a - 23 712. 37 F 1 233n. 107E3, 3or. 12712 ( 112, 123a + 12525. 157 312. 323a - 23714. 37 112 + +12 et 7123 M2+ 5I2= 312+1 3F 12 +512 323+7 (Z,9 383+ 23, 23+ 513 13e 13. +23512. 12523. 1272G sed videtur aequitio c0 vel sabtris 3 nunc aeddi posse tractabilior, ex quo repertum es sse 3. 212. 723 + 13. (512. 323. 712 = lis 112. 723 + 123. 712 (Exl ergo (29no) al sernetrum geluditur s15pE. 22712 + 21512. L2p. 112 +51Z = 5+2+ 712 eL:, 12s u Zmmnunrhtn us. 2n t 1712 f ry23. unde per aequ. 2 vel 8 ejus demarsiculi fit 3112= 7123 m 2 Padentis 112. 123 a 4 12513C. 15, 312. 32ha = 2371~. 27, ., 11 2, 3235123. 312, f, 29512. 12723 itaque ex aequ. 10 per initium articuli hujus et per aequ. 2 et 4, qq. 23 et 24, et ope aeq 2b 2 112. 123 a = 23512.15, 312.323a +127 23.37 qu. 25. fdebuis et jam institur articulo ficerente post 6 post eg. 8. 134523, 312+712 112. 123a = 23512,15, 312. 323 a + 12725.3 exglutione indiget. Nempe. per Ergo ex ag. 28 auiculi 19 fitt ee Restat 2idendum an haec aquatio contrahi possit, conjungendo cum ea aequationes 26 et 28 catculi 1234523 13 (213, : 9513. 313 = (20 mo) = 17: 53 vel distincstius 113 713, ., 319. 15 nes 5reyc . mis alimus ipsum Meaerato er adhuc alisiu Ergo per aequ. esse 172 28 articuli 19 st 12 + L(23 (2 + 712 21) Sed video non fuusse lus opus post quam invenmus grtic r fine C3 4523431 1 sub finem articuli ag = 4 12523, 12723 Vid artic. 10 aequ. 1 quia aeq. 1 non daret idem Haec vide sripta disictius in jogna avera articuli 14 initt seu Ar12 1Sig. 123+ 71I. 235IL. 25712 123. 14 523. 13712 41712. 23512. 12713 nra - 1712, 4 7123 1. 51Z. r2Z - 712. 2] 5I2. 17712 41723. (3312. 12723 - 1712. 1252 osse sol differdat dignooiet aqu. + 1712- 12513. D uovo teisigu frist 251 2. 1gn =3 F 13512. I2713 13. Su3 C 35f2. 2377Cd 123. 3go = +3 12928. 1274 33512. 13712 2ys1r. 28 3iZ 1Y2 3. 1273 anteor