# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0241 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0241?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 221, page id 797939695:0241 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=241 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000241.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.79 # 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. Es Terdis 1d1 descratit nlemt 19101 UmI rUS R, 11 Iramd R, d Cut Il da 651. Gulol genitila LRA enic geniu est lub Seni aBI ICOI deita 2i Geometrica. nicis derilineo B CI, et a criangulo F IR; id est, detracto luberiplo, restac genitum a sectoreF BI, id eAt duplo luberipli, igitur Cublelquialtero: (C au- rem procedere a Facilioribus, ad diffici- liora, opera precium esle duxi; aequeita illud ostensune demonstraimus, id eA per principia inerinleca, quod alii per extrinleca tancum demonstrarunt. 26. Hlinc genicum a rectanguloB I vel BO, vel BM, re est eriplum geniri a erilineo BOI, vel BFTO, vel BRM, ita eAt Telquialcerum geniei a eritineo conexo BIC, velBOD, vel BMF. 27. Hlinc re superticies genita a Fora BL ett aequalis genita a EOTO AECU BMI R; ita genita a BK, vel B FI, vel BC3 est aequalis genita ab arcu BMI, vel BO. vel BL; quia cum cylindrus genieus d B N, vel quilibet alius, quacenusrelolui- cur in superticies cylindricas, sic lecun- da clasis, genicum vero a sectoreF BM quarenus reloluitur in luperticies (phae- ricas, lc certiae: cum demum sit cadtem veriulque alticudo, Peu menturanimirum FB, bales profecto aequales cse OpOr- Tec, VE deonAtrani nUIeF. 23. _ 24. Icd superticies cylindrica genica d BK est ba-