# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068192:0028 # Permalink to this reading: https://leibnizlegible.com/page/00068192:0028?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B # Folio 28, page id 00068192:0028 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068192&page=28 # Source image: https://digitale-sammlungen.gwlb.de/content/00068192/jpgs/default/00000028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine # Lines: 70 recognised, mean confidence 0.88 # 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. L.M (si opus continuatis) ad easdem parbes applicatae ad rectam AM, P rectaeistae MN sint in compo- sitaratione secbionum solidi, &t relocitatum quas habent sactio- nes adeoque impetui cujusaB sectio- nis proportionaes. Idemqe facien Doubiqs, habebimus figuram quan ribabi motus proportionalem, ita utporbio ejus AN. M. sit adr totam A ND ut impebus portio D nis a superficie cyLindrica ab sec Ba, ABIKML. est ad impetum totius selidi. Et similiter ut figu- ra A. ND, est ad figuram aliam d. C) e u secund ad aL iud solidum eodem modo fac- itaa tam, gerit impebus solidi hujus- ABCD ad impetum solidi albe- rius. APpLmum totius DefinitioG Bie i ADDIICASISCONSSISVeN eueq 7+c SM REoVLiSANB est id quod absolute duetum in totum tantum Dem efficit quantum factum ex omnibus ejusdem nominis in con stituentia ordinatim ductis. ub si Ccumeaiem sit in quovis unquaque sictionis ejusdom veloe puncto velocitas) finitum mustiplicatus seu est omnino finitus quod est absurdum (Per prop. praecedentem). bbaque fieri non potest ubpuncta conformi quaeris in superficie à se invicem, sint discreta, nec componant si- neas: Idem argumentum in corpor val et; utpuncta conformia super ficies componere intelligantur. Lp. Op. 16. problema 2: Duantitati dimensionum plu rium propordionatem exhibere quantitatem dimensionum pau ciorum. Constat solidis ret superficie, bus exhiberi posselineas ordinabii respondentes, ub si sit isogonium pLanum OkG cujus quaeris ordi nata GK sit proportionalis ipsi D Pores ipsi XyZ sectioni su- perficier res solidi per unum ex planis ad recham De isogonus factae quae p Lanum OKG, se- cantin XG; Pabet isogonium OkGipsi superficier vel solido esse proportionale. Sed indi mensionibus quae solidumrum transcendunt