# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0032 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0032?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 12, page id 797939695:0032 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=32 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000032.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 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. L Synop sis algebricae, excepeis duabus primis, qua- drati scilicet, _ cubi, Acticiae sine, Ve dixi, quoad diuerla quancitatis genera; lune camen verae, quoad proorelionem con- tinuam proporcionum. leu rationum; siE enim praedicta poreltarum progrelsio l. 2. 4. 3. 16, 3. 64. PriIuS CA ad sccundum in lunplici ratione; ad terrium vero; in duplicata primi ad secundum; ad quar- cum, in criplicata; ad quintum, in quadeu- plicatas ec. Ilaec autem eyronibus explica- birus rudimento 4. unt enim rationes compolucae, qua maximo lune vlui Ceo- ACErIS; quare iiS VECIUI; QuaLIS al1O- quin propriis d anciquisniciuilque roca- bulis concentis a nouis algebricis abstinen. dimelle putemus; ee hraec eM altera caulas qua memonie ad id consilii, re scilicee illustri antiquorum, Geometrarum exem plo inlictam; puca Euclidis, Archimediso Apollonii, qui nunquam cerminis algebri Cis vII FuerUNE. Secundo, Merhodum quidem noua, rebus iplis immo de rocibus intactis, in demonterando, ninirum per principia in- erinleca s ostensive, re rocane, adhibeon cuius ope, tum cadem, ab ipsis, vel eorum commencatoribus, lecundum anciquam mecodum, id est, per principis extrinleca