Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 55

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: 0.93.

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

The machine reads it as

  1. VARTAR: DISPOSTTIONVM LIMIT. LIBEK III.
  2. ad partem anguli acuri BDC, vel intra basim A C, vel extra, vel in
  3. iplum punctum C.
  4. Ouicunque tamen sic calus, in criangulo obculangulo ADB, quadratum
  5. lateris AB excedit quadrata simul AD, D B duplo rectanguli ADF, de
  6. in eriangulo acurangulo BD C. quadrarum lateris BC deticie a quadratis
  7. CD, DB Ciiidem AD, DB, aequalibus) per duplum rectanouli CDF, vel
  8. per idem duplum AD F C quum AD. CD sine aequales) quare duo (i-
  9. imul quadrata AB, BC aqualia TUINE qLaTOT Simu Lquadratis AD, DB,
  10. CD, D B: nimirum duobus A D cum duobus D B. Ouod CFAE _EC.
  11. PR OPOSIT1O VII.
  12. Ocus, ad quem conveniunt quotcunque paria
  13. linearum potentium simul quadrata aequalia, atque
  14. ex terminis ejusdem data recta emissarum, est LOCuS
  15. planus, nempe concauum C irculi peripheria.
  16. Oc neceltario lequitur ex sui converto, ita prOpotito, ac demott
  17. AratO.
  18. Si in Temicirculi ABC diametro AC, inera, vel ex, IIIIPEa SUICKM
  19. duo puncta F, F, 2 cenero D aequaliter verinque distantis, ee ad periphe.
  20. riam AD C, cuius vercex B, ducta sine quorlibet atuI Baria F B,
  21. BF; EC, C7F _C. Dico horum quacrata inter le aequalia esse.
  22. Facile id patet ex praecedenti Lemmate. Nam iunctis radiis DH C
  23. octensum est in triangulis F B F, F. C F C in quibus a puncto D balim
  24. FF bilecance ad eorum verrices B, C, ducae sune linex D B, DC) ue
  25. quadcata simul laterum E B, BF aequalia esse duplo quadrati L.D cum
  26. duplo quadrati D B: cademque rarione duo simul quadrata laterum PC,
  27. CF aquari duplo eiusdem quadrati F. D cum duplo D C, sed duo FD
  28. Cum auobuS DB EQUaNEE duobuS F. D cum duobus D C C quum D B,
  29. DO aequalia) erso e duo EB, B F duobus FC,, CF aequalia sUnE.
  30. Tinc

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 55. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0247?run=74