# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0235 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0235?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 215, page id 797939695:0235 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=235 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000235.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.82 # 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. A PBH ariji entoL BR, voluale Dt, II an ab , ad F lune LUII, ralpliu GICCOI balis spla aera raerise riria l ilpta Geomerrica 25 est aequalis superticiei cxlindri ejuldem alcicudinis a balis, dempris (cilicet ba- libus; cum enim genitum ab FBL siC X- Figura quale Hemilphaerio, de cum sC eadem veriulque alricudo, nimirum radius, lineque hzura homogenea, quatenus genicum ab F B L reloluicur in Cuperti- cies cylindricas, genitas a BL, EMdC ee Hlemilphaerium in Sphaericas, genitas ab arcu BMI A, F X N ecc. verumque x qualeese, necelle est; lunc enim tigura homogenea eiuldé altitudinis re bales; isitur litgura sit aequales bales aequa les erune, led balis geniti est superticies cylindrica, genica a BC, _ basis Femil- phaerii est luperticies sphaerica genica ab accu BMA; ioicur Luperkcies Hemilphae- ris aequalis est superficiei cytindris ec. 27. Superticies Hemilphaerii est dupla maioriscirculi, id eAt, Balis, quia cu sIE X- qualis luperhicicicplindriB P, e cuhec (IL duplacirculi maioris, scu basis cxlindei, quae est eade cum bals Hemisphaerij; hu- ius superticies est dupla maioris circuli. 18. Hinc Cuperticies (phaera con- cinet quatuor maiores circulos eiul- dem Ephaerae; icem Superticies cylin- driea, cylindri, ciusdem balis; cum lemis 9.