# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0031 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0031?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 16r, page id 00068255:0031 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 15v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=31 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000031.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine # Lines: 101 recognised, mean confidence 0.86 # 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. 90 ll 100 1001 1010001) 81 18 1111 1O1 1 1110 000 or 10001 000 16 10 1001 010001 000100 101 1017001 (729 1001 101 1011001 101010 1 1 1(343(1011 01 100100 (0101011 01010111 10010 110000 spao 001 1010000 00100 110000 1000000) 0d o 192 12 22 11 Excerpendi per saltum, sunt numeri progressionis Arichmetico sit sit Excerpendus 3tique quisque ex ipsius ot 0+ ote. 010101010101 sumatur sumantur abselve Multiplicetur 2 per 3, fit 6 Tab solvetur periodus pota bta eritue 3tius locus d Ctus l. A excerpendus atus quisque eintuse prima nota 0, secunda, 1. si excerplisur, idue quisque aut quantus quisque aut otue quisque erit prima nota secunda etiam ex columna ida excerpatur qua ztius quisqe vel en nam 31, multiblicari, 4 per 3, fitoom c q des intet in par imparis excerpatur etq stus quisque, periodus eut 420, et pritum 5 2 idum 10 etiam 9 3tim 15 et ota 12., eint cadi landa, 6 erit muneri seu in ennolates in par octrvn seu 2+14 par, n et 20 etias in par numeriparis ser onu cadet in 2+2+, seu in par imparis numerida itaque dato numero saltus si primus numerandorum sit in columna 2da, multi multiplicetur e per 4, habebitur in quibus inctudatur periodus. Tum sedes erunt 1e, 2e, 30, 4c, et sedes ut ge dividatur per 2, si proveniens sit imparquotens t impar, nota erit 1, si quoliens (it par Ro fiat. Ze+ de si quoliens sit i hoc dividatur per 2, si quolies est par nota est 1) x1 dat 3, sit 0 10 +1 cd quot. 5 dut 0 sit impar nota est 0. 15 + dat 8 fit 1. 20+5 10 8 fit progrediamur ad columnam 3tia ubi est periodus 8, si excerpendus zlius quisue absolvetur periodus 24 notis percursis excerpendo. S Et sedes sunt 3, 6,9, 13, i15, 18, 21, 24. H 3 dividas per 4 et quolienti 0, addas d imparem unitatem, cadet, nota. in primum quaternionem, et dividantur per 4 et generaliter cum cadit in parem, sed est I cum cado procedamus sic si generaliter sit 6) sedes, hinc auter 1, fit 8 hunc duod divide per 4, prodit 2, huic adde l, fit 3, eadit ergo in 3tium ad - 1. + 1 = 1ho. = l +1 = 2 fit 1. ha H1 - dysito en _ 4q +1 = 4 dut sit 1. La quaternionem eu parem, et prodit 0. medietas in natur alitus est 2 sit ergo columna C, ejus noba fenidividatur per 2C, si quotiens unilate auctus 9- L + 1 = 3 fit 0 et prodelent notae 0. 1. 0. 0 1. d. 1. 1 est impar est par nota est 0, sin quotiens sit inpar nota loci f in periodo nova est es atuolab sin impu est. sin quotiens e sit impar, nota est 1. Ex. gr. in Columna 3tia quaeritur raterum C ert 3, et feut 4, et fe ent 2 Cxtri sernem hynat medietat ee cmeum saltus sit nota t periodi si tertius quisque excerpatur inde 1, restat I, dividitur per pro aliis arthmelicas qui cion on sunt his derivatio est, nam hi tantum quantitate constante angendis itaque nota ati loci in periodo nova est ., qua an col. etia nataralium multoplices facilis subtrahatur 12, qui est par quoliem aturalius s in in e, columnae tertiae perodi ea nota loci (2 quantilas autem constats addita pariodos non immitat, et se nonnihil notas certa ratione intet