# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/73061350X:0020 # Permalink to this reading: https://leibnizlegible.com/page/73061350X:0020?run=74 # Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a) # Folio 12, page id 73061350X:0020 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=20 # Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000020.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 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. 3 q. Ad dacam rectam interminatam AB, ex dato ex era cam puncto C, perpendicularem rectam demitte. EC. CentroC intervallo ad libiti defcribatur peripheria, se- cans daram AR, in punctis DecE. Deinde Ccneris D e P, ad li- birum concuriant a quirrdia peripheriae in PCCireineadem Plasaim qud elcnere in dirersa) Ducta recta Cti exit perpe- dicularis desIdersEa. HI. Si in dirercplga concurtus tane, unica diraricario- neconltructio ablolritur. Constructio alia. Si cata sic recta AB, ec darum pun etum C. V. 8. Luprarcetam AB; tumanturin recta AB puncta D. E, ad libicum. dein incerralioDC, centroD intra iplaire AB, ducacur arcus FC; itcnr; incerrallo FC, centroF in- Fra iplam AB delcribatur arcuS FTBarCum FOSccanS inK, Du eta recta C. R Sccer rectam AB in L, eritgi C L perpedicularis desiderata. H. Commodus exie hic modus, si puncta B e C. sinc in extremoplano. 8. Superdatam interminatam rectam AB, ex dato in capincto Cperpendicularem excitare. Cenero C, interrallo ad libitum deleribatur periphierias secaris daram AB in punetisD ScF. Deinde ceneris D, F, in- cerrallo ad libicum, concurrane aequiradix peripheriae in F. ducta recta FC, erit perpendicutaris desideraca. Aliter. Posiro cruremobilicircini in C, ponatur alte. lextra datam rum crus ad libitum in cenero D, ita tamen, ue peripheria delcripea lecer datam AB in duobus punctis C. _EF. DuCaeuF E.D delcriptam peripheriam ecans in P. ducta recta C F, crit. perpendicularis deliderata. COrOII. Norma itaque examen hinc manifestum est; nimirum ( constructo anculo re ctomormaminterioribus, cum exterioribus late- ribus coneruat: vel si costraeto semicireulo apice normae vel exteriore ovelinteriore occupante punctum aliquodperipheria. latera sive crura orma apiei respendentia pertermines dimetritranseant. dd