# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068112:0006
# Permalink to this reading: https://leibnizlegible.com/page/00068112:0006?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 18
# Folio 3v, page id 00068112:0006
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068112&page=6
# Source image: https://digitale-sammlungen.gwlb.de/content/00068112/jpgs/default/00000006.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.90
# 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.

suppone currae etidam in aliquo peaio i BCDE,  punctis C,D, E, imponi attriu
curvae FGH ordinatas, perpenduntanter ad planum, et ita ut medium oidimales
punctu incidat in planm  patet ipsas ZC, MD, NE ductas
in FL, GM, HN id est in c. 1. E impositas curop B. DE seu rectanentu, vel ductum
aequari momento FLC, GMD, HNE aequam  sive ductum horum ductum planore
inseinvicem, aequari momento omnum LC, MDD, NE, erc. Uende si P
et
sit recta corstais  nomentus t alius axis et intervallum
ectaqP9. i momentum ex 
cylindio ipsam LC MD erc. ex F sub inDu.. Quod si jam claas ex atiio recta
ut TS. aliud haberetur momentum ejusdem cur eto eodem modo figura
oidinatarum LF, in C impositarum, hunc haberetur etious cylinder
enimum LF. quod probo: Quia appellando ZL, X. CL, y. erit
TCH Fx + 4 y +h. quae ducta in ipsam Z. dabit:
fex + 9yZ + liz. ra ZX. datur, supposito momento ex TQ. quod
semper ider sive sint _ ipsae Z. ubi erant in LF, MG, erc sive sint
positae in c. D. E. datur et yz. sive rectangulum so FLC, sive ductus ex
hypothesi. Ergo si detuo et adhinc unum momentum, ordinatarum
curvae in, C. D, Epositarum dabitur si erit es aquale lu
sit ipsum aequale fZX + g’yz +hZ. dabitur h3. (eu cylinder quaesitus
curum
Hinc eligendae curvae BCDE, tates, ut per diversas ergordinatas multipicar:
vel inaxeiquet, vel incixei 7S. multiplicari possiu ordinatae purvae datae
cum utilatale quado, seu simplicitatess,
Ad quod eae nroci
iutiles, quae situres habent ares utiles, ut Hyperbota Circularis, seu 
primaria quae duas habet asimplotes, ut axem, et diameltur axem
oingatum.
LF, vel MGri2