# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0241 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0241?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 121r, page id 00067993:0241 # Scan: The same scan is also registered as fol. 122v; its text is given once, here. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=241 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000241.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 160 lines, status machine # Lines: 160 recognised, mean confidence 0.67 # 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. Quoniam ergo demonstrationes nostras experientia confirmatus habemus, nec amplius erroress calculi metuerecoginu, jar operae pretum erit Cogarithmam binarii Hypertolicum invenire. CA p AV, 1. ut ante AD, 1. cirt CD2. quaeat loganthmus binaru, seu spatum AADEV, sive YD. quod ut facilius invenionus iti procedere intile erit C iAgit ent spation WH. lognalhumus ab si quem invenimus esse 11437 vel 2 874 ita ut eror non sit o. sit CH C7 sit C. H CrH Csq erso l qua C7H p 19 Cau CsH CcH cyt 140000 240 71 et CD est vel 20000odo erit DqH (e CD- Cr1) 512829 odima potentir ab il pal: 194871 d. et eius quid. dpu 162993503 141 (100 0a b. B7 Cr H 10000000H et eus culus d eit 134830736299898789. Quibus potistanibus a d. opus habebinus ut nex patelit 1000800 900 0o0io lotuus ed. eit. et quia CA, CiH. CrH. CqH Es usq ad Coy H sunt continue proportionalis, erunt spatia V. H, 18 2 H, 12R3H H usque ad op 7 H aqualio, erxo spatium Vy H, eit seplustum spati. Uiti, seu erit 160118 Ergo ad imenendum spatium VD logarithrm Binam oupertoliam HD, vocetio d eui DEp ex summa omnita ordintur 100 sufficis imenidi superest inveniri tantur spatium residuum 3 R D. vel 7HE.). id vero ita fier: C9H voretur 3 inter ex hR7H, ex Ed. tr nmas pati 1. k d erit + 3 pa dc it quonim a eAt cinater et 5 citula 19. sie 2. tit d cinli et n se ca sei seu error ent longe miner quam ooo, si trubus prinis terminis, utemur. est autem id - + 3 5F2d = 35d + 203. et pro f ponendo 2- d (nom CiHse CD - 2HD) fet F n 4 - ad + d. et P⊓ EY P= Nndr 63 - d3 er d5 +d= 4d + 3 0 in 6 d52 14d. 14d24505 Fa 0sd p ad - 33. l3 5o 61- 5d3 8 ex portis (Fd- 35d + 2d3 (53 1 1od 0000o +343 pasen 244 - 304 + 1143 0d 0+ 24 d p 1230789600000000000000 4 48 4 14d = 24d+ 643 erit v +2 22 +48 - 72 d 4 36 d = 643 199677689966760094004 1 28- 72d + 35 d- 643 + 11d35 _ 14835780992 18386679 436l A .. 369236889000000 4100 0000 30 d 78898074972300000000 5 Ergo 1152375 16312 8998d 617B ent area spati, 7 RD ita it Ercq sit min quas o 115337510312699γ896679 6dE 80gIr4+17299390 n 4440 149786554 8960607266 logmichuro habuimus n. sed sed quoniu error uniter isque teptuplicatus est, adea factuq o ello d aele erit logarilhmum inivenre paulo exactus. praetog. Log. I est tqu 400o 5000vo 600vieo quatuc uiorus ter mdui redere 192.asta in 11437 571850) 129 571861 4003047 6 fici. 120000 861 Eodem modo 11533751 100 444014996 10c3 est 237164266,73160421183067. loy. 10a 69314718055994529 1417191750 log. 2 230258509299. +0456240) 78700 Log. 10 10936(2288604 0g. 33 oaa e a 00000 vrvuvue 5718617 953 1 0666 o 10= 200 3000 40000 B s A 1900000 11429 qua el v 95310(6466 lpg. . 2) 517 95310166 100000090d0ven 1000,000000 335 A1200d - 600- Y110 8 i 02 log. bineri 1600 4 15 nt in 1e en 4f 2 a edrima mdin rod 2. FC F c_ 1 1 1633164 120004 60v 0,006 11 6B0 A 1661211662606560000000023G A4X ∞x Ay6SA A24014796Y pam 2681 5538 90 d i de d c1 A 240000 24400 10, 240 00 100 4u. 000 - 70000 400000 AA X 4, 24000 1F00 d +24630 Ssb∞B 13i: 3603 At seo: 22874 1143 244000 1120000 25976039 785 667 171162 7 Es11d1 +EI 11437 571850 512929 1hl 7t 4005027 au 5nsit r66o(95210165 ce 667171162 26316285 (10000 00 e 8 53 6 A4149404660 tpor970 Aala 101 A725 A4446 D sinit api. 25 976029 2A6346410 iqu 130 60b olo +6039 AX4∞+4996e AA 4B + 425B) npa 2ddoio 3o+ 8162162. groterer b6078 1q i en d 115 137510deot ovoe (2593 p 000 e6 12 4 i en in vysinu 61- esaegotto 30 +6270007 td omasq 12AG A6 HXY N g A 1+ 871