# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0218 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0218?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 198, page id 797939695:0218 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=218 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000218.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 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. SynovsiS dem altitudine, cuius balis peripheria H CO; rna est ad aliam re peripheria, ad periteria; de peripheria ad peripheriave Lemidiameter ad lemidiametru; est enim balis cylindri, quarenus ad hac classe re- Fertur. prima Cuperficies cylindrica AC, e alticudo AI; cuigitur Cuperticies eptin- drica AC (c ad CupexFCIE FG, VEIA ad IF, decrelcunt haec elementa, ve altitu dines; igitur cylindrus A C, quatenus in haec elementa reloluitur, pertinet ad clasemeriangulariums hinc Ei ducarur lu- perficies cylindrica A C, in Tubduplam, IA vel Subduplum Cuperticici AC in IA, habebitur cxlindeus AC. 25. Ilinc h cylindri R O alcirdo PR, vel V T, est aequalis radio, leu le eidiamcero balis V P. Cuperticies cy. tindrica R O est dupla circuliDO; quia peripheria PO ducta in PR, vel VT gi onic Tuperticiem cxlindricam R O, sed eadem ducta in lubduplam PV signie circulum P O; igitur Cuperticies R O es dupla circuli P Q; a li aluimatur alti- tudo cylindri dupla PR, crie superticies cylindri quadruvla balis, hinc rides, perinde elle, ve sionatur cxlindrus R Tive ducaeur luperLicies R dupla balis