# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0306 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0306?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 153v, page id 00068195:0306 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 154r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=306 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000306.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 recognised, mean confidence 0.72 # 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. eylinder 3. cong 1. = 2a Ergo 3 = a Ergo si distantia centrigrvitalis paxtta ax + a + = 2 X Rgra 2X R92 a - a X = a = 2 4 t gx+ F +2x agra-al. - 2xqra quadiati acbf abaxe ac, est C ert distantia centri gravitatix e. hianguli acbabaxe ac. erit effc Hinc si cylm lonx fint, ut facto, ut inde fiat cylinder primum duplicandus est, quia figura generans cylindium dupla est deinde habemus 2. deinde hoc 2 multiplicandum per 2 ravem distantiarum centrorum. habemus 3. His positis esto arcus adb = x. Radius esto a. X = aX IV CC 11= C 1X a -vxqra x u xhqra Xa 3a =Rqua 3a - Rq2 a si arus adb es X. enitarus tex: X 92a (Ejusque differentia abarm adberique x X a ducatur in ed. fiet xRqa distantia Centri ab ax, nempege vel eh negeot. Atddatur arcus iex dudus in ce. 64 ict = X2a addatur proseymento gie vis. +Z2. a. poro ag (. est 2a = a. prrso CC est auffrtuo addatuo Btum gec . A a b Rg 2a = Ng 2a at ed = 3a = R9 2 a. d duta l ia ha a ra e H X3a = XH4 2a + X (X3a- XAqra , XA N aa + Sa - _9 a + 7 + a tam E= EX X OX 25 sa-nqua- 2aaq a t . 2 d.3 3a - apqu a= 3a-agrae 9 2+ a X 26) 9 da = a Rg2a + 3a - Rg2a +7 + A = a - 3a - Rq a = = a Rqra s 1 Ergo B, 4- 3a- _4 2a - na H92 a, + AF9 2a - 2- 3a Agrar a - Z. Erpo 44. sad- 2a = 0- cd 1