# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/898203430:0064 # Permalink to this reading: https://leibnizlegible.com/page/898203430:0064?run=74 # Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151) # Folio 36, page id 898203430:0064 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=64 # Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000064.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 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. VINCENTIL VIVTANI PRO LOCIS. P R OP OSITIO XXI. N quacunque Coni-sectione, vel Circulo. Si latera- les contincentes cujuslibet trianculi sectioni circunseri- pri in directum cum ejus semibasibus verinque exten- dantur, atque extensarum termini cum trianculi verti- ce rectis inneantur; diaconalis, quae inneit punctum medium basis ejusdem trianguli, (5 occursum verticalis tansentis cum ona lateralium, si producatur; sibi pro- ximae juncentium occurret; sed in Circulo reliquae iun- sentium aequidistabit. In Parabola vero, (5 Fyperbola, atque Fllipsi oblonca ipsi reliquae imneentium occurret ad partes Sectioni Con- trarias. At in FErperbola, occurret inter verticales tancentes Se- ctionum oppositarum. Et in prolata Fllipsi ad partes centri, ac oltra vertica- iem tancentem priori oppositam. Si vero ipsa diasonalis producatur ad partes Sectionis ver- tici oppositas, haec, in Parabola, reliqua rancentium lateracium aequidistabit. Et in EEyperbola ab ea semper maris remonebitur (nam ad partes verticis simul occurrent). Si tandem ab occursibus ejusdem diaconalis cum veraque junctarum ducantur ad productum axem ordinatae, punctum bisecans seementum ab ipsis abscissum cadit (in Parabola, in Hyperbola. (5 Ellipsi oblonca) inter verticem Trianculi circunscripti, Co ordinatam a Se- ctionis vertice remotiorem. Sed, in FIrperbola, inter centrum Sectionis, (5 ordina- tam vertici propiorem. Et in Fllipsi prolata, inter Sectionis centrum; C9 ordi- natam vertiei remotiorem. Edo