# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068148:0034 # Permalink to this reading: https://leibnizlegible.com/page/00068148:0034?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 23 # Folio 17v, page id 00068148:0034 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068148&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/00068148/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.85 # 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. Continuatio si descensus ut 1. vel ejus duplum, triplum, etc si descensus 2. 3 etc Ascensus si descensus ut 1. vel ejgs duplum triplum, etc. si descensus, 2. 3 etc eCorpuu incurrenta ut 10. vel 8 vel del2 ber,1 Corpus excipiens ut 1. quod quiescere intelligitur Descensus G 2a- ab -p2 24 - ab -ab 5ab + 3ab 8 2a + 4ab prab 3672 8=1 214aL +2ab 3l 8l 2a+ 4ab +2F I in eodem plo fitum AC vel B8 a divisum in 100 partes et notatum numeris quadratis 100. 81. 64 eteusque ad 1. doscendendo. linea horizons purallelae per lineas divisionis ductae secabunt circul in punctis intersection quadrantes CA 10. DB10 centris C. et D. descriptos, et punctis sectionis ascribantur radices numerorum quadratorum, scilicet 10. 9. 8 ene usque ad 1. constat ex traditis Gaulaei corporum ex 10d 81. 64 etc. etc. (abstrahendo ab aeris rescistentia) curpora ex punctis 109. 8. erc. descendentia aequirunt celerita vel reflexione communicatus quiescenti mensurabimus ipsius iscensu; ad aliquod Erto umque celem 5 abeb +2a 2ab- b 24- ab - b2 1 + b +b a+ 2ab + b 2a+ 4ab +2B 2a = ab - 2074ab + 262 +113 2 328 fit 2 5925 586 +5 a +3ab Sa +hab 5a +3ab 2a+ 4 ab +2b 6 lons es 289 eb 1320 9248 9248716 1296 1 878 650t+ 1. 1 Corpora duo incurrens et exapiens x pendula intelliguntur ex iioem semidiametris CA. CB ita ut in peerpendiculari quiescentia se tangant: et circuli quos vibrando describerent sint in eodem plano, et centra suspensionis in eadem horique ontali non minus ac centra gravitatis et magnitudinis corporum, A. B. descendentium celeritates esse ut 10 9. 8 etc et eandem acquiri celeritatem si ex punctis 109. 8. descen- dant, ac si ex punctis 100. 81. 64 eH. descenderent. Ergo te ut 10.g. 8 ete. Rursus corpora habentia celeritatem ut et ascen- Ergo possumus celetitates in statu tsma quaesircs