# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0197 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0197?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 99r, page id 00068255:0197 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=197 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000197.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 193 lines, status machine # Lines: 193 recognised, mean confidence 0.76 # 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. 1c F3 F _ Et CF E 1c C E E 222 rt pr 6 45 s na Riasis =B 13 X Ee Bin 15 B. . 33 6 Er e p isseu isuensi go n vae ducibr vuussguo viram) ogrig munq cunubo quiupp. mnnz usuei anpdoif gruxp. SId m. 5o est B 17 seit 127 V bo mequ0g quo ne quaragut eno L ou nos oyb vole G. utcalque nococheg oesse iolua si numerus per, numerum mustiplicetur in prmus quidem sede sit oifu) Ergo si en prossundit vel odelovelo vel 1. id est o, cum paroter par p in parter parer parte par in parter imparem par in parem, par in imparem; cinpar in parem; id totum cum impar in imparem. In ecunda sede sit 000 sunt 16 casus, et prodit D in buo dicim prioribus seu in 4. = 4; Nempe cum pariter p impar vel par impariter impar in dpanter imparem vel impariter parem ducuntur, nam in altermationibus multiplicantur numeri casuum in prducto ex comhinade Fiugenda jam essent Nomina pro terva sede, me Fritque numerus in secanda sede obi primo sede erant numerus par impar. Ob secundam es pauter par pauter impar, impariter par, impaniter impar. Ob tertiam edem est nulmerus parit pariptariter imp par. Jari pariter impar. parimparise sa parim parter impar C. pr imparisariter par imparipariter impar. par 0 inpar 1 pariter par 00 paripartter par 6000 upar impar 01 impariter par 10 unpar 1 Porro patet hons parimpariter par impar imparipariter par impar imparimpariter par unitatem semper esse in multiplicando, unitalem mparimmonteria pro pro producto semper rariqon contingere, et fpe quanum 9s -b16 in pumm sedes sede un parfecasicum productorum; X Arq etB. C a ac 2+ (2) in 24 (2) a + (a) in a + (a) dat aa + 2 a(a) + (2) () ubi aa sunt 0, et 2a a) sunt 0, et par solum (a) (4) dat 1. si autem a, et (a) 2.1 sunt aequales, ut hic patet (ati) fore partem quartam producti ex a + (a) 8.0 eso 1E0 881 proprietates poterunt inver sul et apparent an postibile sit numerum alum productum Numer per Numerum sic O 211 2.D. t e 111 e a son de Sic impari parimpariter impoli foret 1011. Hini porro si ingenerali considera nt. ibo in a + () tone producti numeri per nuculum 9.5.0 igar i et 113. 1 st 10I Hinciam ac et romene la fura patet et modu nexprimendi e quemlibet sine veri quia in altioribus sunt paulo perplexiora -0 imparipariter par impar foret 00 1 010 011 100 101 110 107 8005 1.1 - ∞ - ft. a F10- BVd - 21 _V 85. 1 9161. 22H1.1 20 +ED 85.0 96. 0 2tL 1. 0 2)) t1.1 8. 14 911. 1 10 - 210- bro - 81 d 8i1 (t d+ c + b ta 810 10- 2.1 b5) 85. 1 510 bo 210 10 810 ete et e+ C+ b + a et q es en et 1.0 sora al = 67 0. 1 in (0) (1) = 0. 0360, 1 am = 0011lie 0) (1H = or 04 vel 0g, 14 = bl b1 d an = 3c0) ) sed excogilandae ad hec Hic prodeunt alterna et tivi alterntivom alia rationes in ut distinguantur commode aam, et bl, jutigi sufficeret forte pauciores esignari, ubi prodit i Heliquos exceptioc meelligo pares eu productos per 10 ves et ila p0 fio di pro ducto seu non Dc b t E.t B. 5. 1 geti vsitt. 1 1o vio 4VO Beo gero 1.9. 11 - 0 - cb- vo- 80- dip- quorramus coma Alia est consideratio si consideremus ses ilia 8li.4 seu productos per nun qvo 1. 1 10 20 40 8990 bI 21 81 9l. 1 11 15. 1020- 40- 40- 910 bet LEI e4 des, I uo eo V 1 eo 20 sb b dF 1b ve bb gC 4b a+b- 9t 600000001111 1111 0o leropurer ont ect 1. () vit 101 tand ittic semper prode simpliles soli alternativ Hic opus addiliome alternatioom eu simoes marios ut regula 100 1 10 a + b = 010101 let B = 010101010VOT = 0100 101 000 , ii11