# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0500 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0500?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 249v, page id 00067993:0500 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 248r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=500 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000500.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 86 lines, status machine # Lines: 86 recognised, mean confidence 0.71 # 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. 6G 1 seu b -2 sempr = 4. at V. variat et d iplicaliva D videndui est. ut B- + B = . G(. Et b. cnfunties sumtis si Ruiaeroque variationum, estu max imo b= C, fiet = + etc quod sica sit a. mempe maxumab = c+ a = Y fel - + i - d etC. mnratutis fipe H spatii Hpaloliliqus cujus trasis seum nima yxa a + y3 tatitudo a, et latitudo altitudo etium a. momentu inquam ex illo a. Disfe rentra ejus mmomenti. a momento exasymptoto at = L+ L + L + 2 et. erit 2 + 2 et. seu 5 a+y a -y etc. Ergosi quis summam exhibere potest huu seriei + + + L, + etc. Seupoam) 1 C C olc. unde ytacy- a nuneratium ni fractiorum Triangularium per saltus, dabit Quadraturam Hyperbolet. YF , X. Ego V _ = ax + yX vel 3 + X - yX = ax + X Erp Y- x = Si 43 - X. Eg. 3 = ax - y. Ego y + + yX = ax 1 X et vel y + X = aX + F aty a +y +2y+1 16y 16 a7 + 7t a - x5 at as ray + a - a + a ap Xea av + fya + a + y a + fy at 7 a - ya a-a a + 2ay + y4 a +y +2yH a +y omissi a +y caty ay ya ya +ya +y a +ya3 aty ay atyay a-y, Ca Ly_ 144- 1 24, 1, -1. 25, C-1. 2, 1), -1. 4,2C, 1. 43, 4 -1 165 255y 16y- 25601 + 250y pab elabus C-1 + b7 -b4gt - ba by =+1 - 7 las V sed et sic - b7 -A1 F by Mirubile b y=-6y - b t Nc. in infinitur 53 147 vel - b27 + idem sic quoque exprim postet 40-1. F 916 E= au 1-1. 12 +28 a+2= alis exhich fiet 2ay +a set ie 10 ya + va Ja-ya a + 2ay +y 1616c16 (1) + + 6484 14 6F64 1 + eti. +200 42, 42, C - 4, 1B - 42 F i6y efti e ca= Is (1294) 60s- b4y2 16y5. 127t (165) bry8-b6y b2go b66 X. sytray at t e as-.. d- yay =a + 40 y0tay ca sicret , 35 bs u 15c2s 16. 1 50-1 64- 1 9. 1) 1 feret. is 15215 10 15 16 t _ 26 3636 + 363636 dc s t spoqeoque hes et eco eti et =(veyt 14, 4 - b.9 y+ 66y0-b47 ergo axt b77 bry- by2