# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/898203430:0084 # Permalink to this reading: https://leibnizlegible.com/page/898203430:0084?run=74 # Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151) # Folio 56, page id 898203430:0084 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=84 # Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000084.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.90 # 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. VINCENTII VINTANI PAO LOCN, nic, Sed tota cadic a extra F D) ETIS pOStiS. DICO RECTAnGUIUI PF D 2d quadracum BC eNe ve quadratum tangentis AF. ad quacratum tansenris AC. DuCantUE per A, B Sectionum diaetri AHG, BLK, quae produ. AX OCCUTTAHE ip SI P P in C, K; DCF D VeTO ASAtUE D NM CaNSCHEI A L F aquidictans. Tam, per primam secundi Conicorum, constattriangulum P. BC crian. sulo A CHI, _ per sextam eiusdem, triangulum A P C mentali, siue quadrilatero F D NL aequale esse. Ec quoniam quadratum F I ad quadratum R D, est D triangulum E R L ad sibi Sinile D AL N, erie permucando torum qua dratum F. K ad tOruM ExIAHOU lUM FKP. vt pars ad patteM, sive re quadracum KD ad triangulum D KN, erSO d reliquum ad reliquum sive reu ctarieulum F F. D C quod est reliquum quadeaci F K Super ED, cum BC F D secta BIF4 riam in K a diametro BR, Ci. que sic adiecta in directum DP) ad quadrilaterum FDNL., Sue ad A- Bi xquale eriangulum AF: G, Ve tocum ad torum, sive ve quadratum R H ad triangulum F KL, vel Cob triangulorum F. IE I., C BL, similicudinem, e proportionalitatem similium Rgurarum super homologa lacera) ve qua dratum CB ad triangulum CBL, vel ad sibi aequale triangulum A C HI; ee permutando rectangulum F E D ad quadratum C B, ve criangulum AF C ad triangulum ACHI, vel ve quadeatum cansentIS A F. ad qua cracun cangenis AC. Ouod oRendeie prOPOtuum tuic in supplemenum quoque Proposirionis 16. tercii Conicorum. eROPOSTF1O XXX N Oppositis Sectionibus. Si unam oppositarum duae re- eta linea contineant, (5 2 sque ad occursum produ- cta versus alteram sectionem quantuntibet protrahan- tur, quas, easdenque oppositas secent rectae linea tactuum puncta imneenti aequidistantes; rectangula sub barum inteerantibus partibus a Sectionibus; C tancentibus com. prehensis, sunt inter se et quadrata sermentorum unius ex tancentibus inter ipsas aequidistantes, es punctum contactus interiectorum. 33. secun di COniC. RepC