# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0111 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0111?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 55r, page id 00068200:0111 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=111 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000111.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.91 # 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. momento curvae habetur ejus longitu dimensio Datur ergo dimensio curvae Elliptica EH data circuli et Hyperbolae quad ratura. quod sane magni momenti est in Astronomia posite Hypothesi Kepter motu Planetam lliptico. Hinc cum ejusle dimidium sit. CE patet arcum Ellipticum quemcunque Cd metiri in nostra potestate, es Edem dicendum est de e s C. Porro eadem methodo poterit etiam xhiberi exhiberi longitudo curvae Hyperbolae. ut jam in re Lonica nihil amplius desideretur circa dimensionem generalem circuli Ellipseos Hyperbolae, parabolae di eorumque curvarum aut superficierum dimensiones et contra gravitatis nihi generaliter exhibenda secundum meehodos scilicet quae cuilibet portioni conveniant nihil amplius desideretur. Nam demonstra tum est Circuli et Ellipseos et Hperbolae quadraturam generalem cuilibet portioni insa et portionum in qualibet porti impossibilem esse. Nota hic Hyperbolam dufeliciter in veniri possicune dimensione, quia eadem duo da haberi possunt mumenta adeoque duae distantiarum centrigravitatis n centra gravitatis curvaro portionum curvae reliquau quoniam enim datur dimensio ejus dantur, et momenta e Tantum dividendo momenta per dimensionemdatur distantia centri gravitatis an axe momenti. Notacum rectae centrum gravitatis continentis inter sectio nunc cum basi nuuc cum axe, seu nunc cum uno mune cum alio axe adhiberi possit et utroque modo reperiatur dimensio currarum. Habebitur aequalio, quae forte