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Leibniz-Handschriften zur Mathematik LH 35, 15, 6, fol. 36v

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

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.

The machine reads it as

  1. parallelorum in mappa aequidistantium in globo, seu quomodo arcus
  2. meridiant divi a parallelis dvidendi sint in Maxpa, posito eas equaliter
  3. in globo. uem dividendi modum ita inveniemus, sumantur
  4. in portiunculae aequatoris indefinite parva nempe
  5. A14, 192 243Q, etc. et anq per eds ductis
  6. e puncta A. 1. 24. 34. ducantur meridiani
  7. oPA, 1P12, 2 PZ, 3P3G; et angulo loxodromiae dato
  8. AG dylatur recta Loxodromiam repraesentans LA
  9. erg Comparetur haec Mappr plana, cum
  10. sphaerica; et discriminis causa puncta in superficie
  11. phaerica sint notata literis minusculis; in plana
  12. necidianorum, AiH, iH2H, 2HZH aequales in magpa plana
  13. repraesentabunt particulas inaequales in superficie sphaeriee scilicet
  14. Aab olam mihel,
  15. veniamus nunc ad constructionem Mapparum redactarum, quibus
  16. sphaerica superficies ifsaeque loxodromiae in plana apte exhibeantur
  17. c
  18. aquato
  19. hombice linea nempe Meridiani, par alleli, et loxodromiae exhibentur
  20. per lineas rectas. Et quidem si semel constitutum sit Meridianos in pappa
  21. debere repraesentari per lineas rectas parallelas, necesse est Rhombos repre-
  22. seatari et parallelos aequatoris etu loxodromias repraesentari rectis, non enim
  23. quia semper meridianos ad eosdem angulos secare debent; rectas autem quas–
  24. cunque inter se parallelas ad eosdem angulos secare non potest nisi recta
  25. sit) AG aequator AH recta meriidianus loxodromiae primus seu in eodem in
  26. quo ipsa puncto aequatorem fecans dividatur aequator in portinuculas quotcunque
  27. aequales in punctis Q, per quas transeant ineridiani aequalibus intervallis remoti
  28. PG., angulo loxodromiae, A _ vel rhombos LAQ ducatur recta, loxodromiam
  29. repraesentans, se causque hos meridianosin punctis L. et ex
  30. punctis intersectionis per puncta intersectionis ducantur paralleli HL manifestum
  31. est divisiones aequatonis, para Meridiani, et Loxodromiae respondentes
  32. fore proportionales, quia omnia triangula ALG et fDL similia sunt.
  33. verum cum revera in sphaera id non contingat, ideo interpretatione
  34. quadam facta, interdum particulae aequales habentur pro inaequalibus
  35. majusculis, ut introbique autem particulae Aequatoris
  36. intelligantur aequales. At particulae
  37. vocant, in quibus Re.
  38. e
  39. a parallelis devid
  40. nam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 6, fol. 36v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068208:0074?run=74