# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068208:0074 # Permalink to this reading: https://leibnizlegible.com/page/00068208:0074?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 6 # Folio 36v, page id 00068208:0074 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 37r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068208&page=74 # Source image: https://digitale-sammlungen.gwlb.de/content/00068208/jpgs/default/00000074.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.92 # 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. parallelorum in mappa aequidistantium in globo, seu quomodo arcus meridiant divi a parallelis dvidendi sint in Maxpa, posito eas equaliter in globo. uem dividendi modum ita inveniemus, sumantur in portiunculae aequatoris indefinite parva nempe A14, 192 243Q, etc. et anq per eds ductis e puncta A. 1. 24. 34. ducantur meridiani oPA, 1P12, 2 PZ, 3P3G; et angulo loxodromiae dato AG dylatur recta Loxodromiam repraesentans LA erg Comparetur haec Mappr plana, cum sphaerica; et discriminis causa puncta in superficie phaerica sint notata literis minusculis; in plana necidianorum, AiH, iH2H, 2HZH aequales in magpa plana repraesentabunt particulas inaequales in superficie sphaeriee scilicet Aab olam mihel, veniamus nunc ad constructionem Mapparum redactarum, quibus sphaerica superficies ifsaeque loxodromiae in plana apte exhibeantur c aquato hombice linea nempe Meridiani, par alleli, et loxodromiae exhibentur per lineas rectas. Et quidem si semel constitutum sit Meridianos in pappa debere repraesentari per lineas rectas parallelas, necesse est Rhombos repre- seatari et parallelos aequatoris etu loxodromias repraesentari rectis, non enim quia semper meridianos ad eosdem angulos secare debent; rectas autem quas– cunque inter se parallelas ad eosdem angulos secare non potest nisi recta sit) AG aequator AH recta meriidianus loxodromiae primus seu in eodem in quo ipsa puncto aequatorem fecans dividatur aequator in portinuculas quotcunque aequales in punctis Q, per quas transeant ineridiani aequalibus intervallis remoti PG., angulo loxodromiae, A _ vel rhombos LAQ ducatur recta, loxodromiam repraesentans, se causque hos meridianosin punctis L. et ex punctis intersectionis per puncta intersectionis ducantur paralleli HL manifestum est divisiones aequatonis, para Meridiani, et Loxodromiae respondentes fore proportionales, quia omnia triangula ALG et fDL similia sunt. verum cum revera in sphaera id non contingat, ideo interpretatione quadam facta, interdum particulae aequales habentur pro inaequalibus majusculis, ut introbique autem particulae Aequatoris intelligantur aequales. At particulae vocant, in quibus Re. e a parallelis devid nam