# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/73061350X:0043 # Permalink to this reading: https://leibnizlegible.com/page/73061350X:0043?run=74 # Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a) # Folio 35, page id 73061350X:0043 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=43 # Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000043.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 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. eta t HIoca. I. Securius rectilineum describitur, (i a perimetro, vel ab angulis sibi proximis remoriores diagoniidentur. 2. Si plures diagonii dacae tuerine, quam in problemace dererminatu et; problema quidem datiserir luperituum, verum rectilineum eo lecurius, et certius describerur. 8. Scopuspracipuus hujus, ec lequentis problemaris elt, urtieurae jam praexictenci, alia vel consrua, vel secundum mensuram diminuram similis describatur. Ouod si non Orcexiltat hgura, restrictionibus indiser problema, v. 8. da- si quadransulilarus maximune excedacreliqua tria limut sumpra: neclarera contermina mujora sinrdiagonio. IE. Omnibus rectilinci polygoni lateribus, magni cudinc e ordine datis, ansulisc praeterea omnibus. minustribus icidem magnitudine ex ordine datis; po. lrgonum iplum delcribers. Si dari angulisitem que non daris continu â lcrie leinricem lequantur, construetio cuiris ex probl. 3. lect. I. vel cixqui- Dollencemechanemaceobris est. Lacera enim anpulos da- eos comprchendentia prius delinceneur: dein ligura peri- pheriaru concurlu claudatur, carendo, ne procaris angulis conrexi, aur conera substicuantur. Duod si datorum angu- lorum Peries bis, aur Expius incerrupra Fuerie, portiones qua dam Ccortm delineandae, acgi ita diaxoniis necellariis invencis, deinderursus conjunsendae lune uc inproxime praecedentiproblemae. NOca. I. Siplures anculi, quam determinatum est, dentur; super- Auit quide datis erit problemas verum delineatio e osecuriores cerrior 2. Inpraxitutius est observare hic quoque ansulos diagoniis es la- teribus, quam meris lateribus contentos. 12. Dato circulo, cuins centrum A, heptagonum mechaniceinscribe soniordinati hepe Incerrallo radiiri Contra: Dato laterchepta imiplum Construere. tur experipheria bini ejus lex aances BC, CiC, dc ducatur larus rrixoni ordinari BD, idqu ducto