# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0407 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0407?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 203r, page id 00068200:0407 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=407 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000407.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.94 # 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. Ad Tubidam ABEFI stentoream vel acusticam forman dam ab artifice, considerandum et, ut scilicet sectionem Tubae in plano datam superficie cava exhibeat, considerari potest curvam vel IF cujus revoa AB C cujus revolutione circa axem LM superficies describitur, considerari posse ut constantem ex rectis BC, Cd, et TH, etC vel FG quae productae occurrant Axi, nempe BC in N, vel Cd in B et ita porro. Itaque BC est superficies portio truncata super– ficiei coni NCB, et DC coni PdC. tam eprefeciese cenico Res ergo huc redit ut plana lamina exhibeatur, ex qua formari possit superficie conica, ufiet Hoc ut fiat demonstrativa ratione consideravi supConeum super ut cylindrica superficies plano applicari potest volvendo eam super plano, et ita exhibendo planum superficiei congruens; ita similiter conicam quoque posse volvendo successive applicari plano et ita exprimere in plano magnitudinis suae vestigium prorsus ut corcumferentia rotae plano applicatur. Sed hoc interest inter Coni et colindri volutionem in plano quod Urrolique enim, recta superficies planum recta tangit cu recta sive conus sive cylinder volvatur superficies v eats curva figura. polyhedroca superficies polyshedroa in tangit planum in recta retsi p Hunc utiqe plano desnn su magnitutinem suam exprimeret in plano pro appropinquans, adhibeture inter conum et cxlendrum curvae idvero tantum interest, quod in volutione Cylindri rectae planum hic tangentes sibi par allelae sunt, in volutione vero coni concur Hoc posito sequi runt in apice coni Hoc posito sequitur si ex puncto N, tanquam apice coni describatur radio XB describatur arcus BRF RBEFS vel R F RB5 aequalis circum ferentiae circuli BEF et similiter si radio NC describatur arus TCY aequalis circum ferentiae circuli circa diametrum CG, fore, portionem annularem TRB5VCT aequalem superficiei Conicae. CBCF CL Etruucatae GBEFGAE, cujus superior basis est circurafe rentia circa CG, iuferio circumferentia circa BF. Patet autem R, T puncta R, T, N vel SV, N cadere in eandem rectam. _t quaenitur ergo tantum apertura seu angulu RNS, seu a dato circulo (xentro N radio NB descripto) abscindere carcum datae magniturinis seu aequalem oc ita fiet, cum detur circum ferentia integra per AB, F, S, itemque arcus magnitudo seu circumf. per BE,F abitur et circumferent cerum ratia ea se. quae dimnetrorum; ea sc. quaesangul la 360 ad un a bit a ens a sits cirdjumctium datam BF. e circa diame trum BF