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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 70

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: 0.88.

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

The machine reads it as

  1. C, T.
  2. nc
  3. (b(EI. Lecto
  4. (5) Constr.
  5. (4) 27. Leclo
  6. Uod insressi lumus iter accurum recta proscquemur.
  7. l. Sine rectae A B, VD sibi parallelae; quas secat posirione data
  8. DB; tranleant vero per B linea F B F, FB F ita ad se relatae, ut
  9. ducti quaris P C ad D B parallela, sI pervetuo P F inter P C, P F
  10. eodem ordine desisnaro media Arithmetice, tansat aurem recta BS
  11. Curra F BF. Oporret linex F B F tangentem (ad B) delionare.
  12. Sint Numeri NI, M proporrionalium P F, P P (quales (a) explicu
  13. imus supea) exponentes; tatque H. M:: DS. DI; connectatur.
  14. que TB; haeclincam F B F concinget.
  15. Nam uccunque ducta sit recta P C, dictaslincasfecans, uei cernis:
  16. EAgue FC. EG (b):: H. M :: (C) DS. DT:: (d) L 6. RC;
  17. cum ergo (c) sIERC IF C; eric L C: 2 F C; unde liquer rectam
  18. TB extra curram F B F. roram conlistere.
  19. IL. Reliquis perstancibus iildem, CiE jam P F inteF PC, PF media pro-
  20. portionalis Ceometrice (eodem ordine media nempe, quo tuit prius
  21. Arithinerice) eadem B I curram F B F continget.
  22. Ftenim e mediis Arichmerice Geometrice que proportionalibus hoc.
  23. ce modo constructa linex sele muruo (a) contineunc ad B, ergo cum
  24. recta B T rangat unam, haec alteram quoque continget.
  25. Exemplum. Sit P Finter PC, PP clexmediisterria; erit er-
  26. 80M = 7; _N = 3; adeogne DS. DT: : 3. 7.
  27. TII. Manente porro quoad cxrera proxime praecedence hypotheli
  28. sumproque quoris in curra L. BF puncto F; etiam ad hoc punctum
  29. tangens recta limili pacto desienatur.
  30. Nempe per F ducatur recta PC ad iplam DB parallela, lecans
  31. curram L. X E. in E, TM P. X tanSAE curram F B F in E; Rratque N.
  32. M: 3
  33. F1 94.
  34. (a) 22. Tecto
  35. (4) 3. Lect. 7.
  36. useo
  37. 1∞. 95.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0294?run=74