# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068261:0028 # Permalink to this reading: https://leibnizlegible.com/page/00068261:0028?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11 # Folio 14v, page id 00068261:0028 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068261&page=28 # Source image: https://digitale-sammlungen.gwlb.de/content/00068261/jpgs/default/00000028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 189 lines, status machine # Lines: 189 recognised, mean confidence 0.66 # 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. invenire divisionem ubi princus et secundus residuu resu _ si rogque dividas per 4, r el secum osidius sun qu ips aequales et2( e7 (66 d to5 Z4) (A 2AESFq us prns esctendes cessiduus ens AIt et Imn = 1.... ., abc lmn 17 imase vaeratrumb 8y-qy Ry primition 2114 D 1 2 + 8 ib 32 64 128 256 5I2 1or4 20 t B 4096, 8 16384 3468 65536 B1072 1b1 44 5i 8B 10B1516 216)152 4318304 16HB2IS V A2613L 66652864. Ha abIu S3B 1BX45 (34819 13 46i qyze PH, (73 8676d8 1353= 3472643 2 69412864 153216 1677216 2097152 4194304 8388608 16.77216, 16777216 838608 419304 209652 04826 52413 1.2 3 A+5H5F149225137 HXM 7 a b c 1 2 3 4 5 6 y 16383) 2697152 14 em h n T11 1 11. 1B1. 1 1 1C1(1 11 1 11 1 11 1 f1.. 2.. 600600000 a bc p15)120b 177 o 1 1321 8 388608 4 194304 +e 2097 152 velX e 10 2. 1 eer e ugesa 116777216 yg 33554432 104957 ∞ en 0D 33554432 67108864 exponens est per aliquem nunerus divisibilis; si unitate minuatur dabit numerum divisibilem per divisorem numeri cujas e. progressionis Geometricae est prioris divisor t seu pbrevius. si qui exponentes rivito: prograssionis Gevinatricae. si exponens dt pro pragressionis Geometricae exporentium progressionis Geometrica pla 15 31 63 orq 25 hu em hons ose blommunem divisorem habentium nuneri + ns eor a et 13 e + ait 3 cCy e eee Cse ab 15 3 t e ti 50 em et ea 5. = C unitate minuti communem tivisorem habent Hine Exponeus progressionis Geometricae primi Hinc numerus progressionis Gedmetricae duplae exponentem habens primitivum unitate minutus sem exponentem hatn ppinhe E S 18 5a 35.ca s de +FII 1 pa CFC 2. 5 1 +s ut . 8 + i 5s e 2 quis 96 Lc+ 82 113 2 y ∞L. F1 N vsuru et c o 3a 5∞ v fee solo re a d. S nen e sin. cd vid pla i ses sasa Var e apint d e 4 ∞ est dat prinitivum. Exponentem habens honentis per alium dicisorem Binaltunitate m solos divisores 243 1e 2 eur e e ist puonemm dioide divisibilem derivativum, divisibilis pe illud tamen notandum, posse numen Numruo (C 9sB omnis progressionis Geometricae numeans lujus Asi 51 67188064 2 3 57 1B 171923 29 31 3741 43 4 4eg 2041. d 07 s 16777216 1048576 ,2500 A 5 5 ge a 8 32 diinntum elios hat daleep ns fer (33 2047 2 see divisibilis est per lumero numenis progueltonis Geatatitis 57. v ∞ e d 8 5 cF E e ausu n 1 x. gr. Num Pru dimiau 15 non est devisor Nunieri non Etivisor ipsis 4 ia 5, resuon divisorem numeris t 5S 1d t +S A possium 1 ia intinitum Numeri diminuti respordentisq es 261149 522288 104457 b 2089152 ss 65536 131072 Uritus eis 2. 3. 5. 7. 11. 13. 17 19. 23. 29. 31. 27 41. 43. 4) in 15 di po es id enic Lu C5 aa si salus troola vi li , 1 3.L p mas t 1o+ t