Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 202v

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: 0.81.

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

The same scan as fol. 201r (00068196:0397), where its text is given.

The machine reads it as

  1. flia Methodus tollendi incegnita literam quae duabus aequationibus gunetur hac esse potest Esto aequalio 1 10 L IX + MXX =0 et 20 + 21X + 22XX + 23X3 = 0
  2. aportet ut hae duoe aegrationes habeant vul unam, vel duas radices communes. quod si duus communes habent, habent et unam communem. Habat prior aequatio radioes bimet
  3. sei et radices Fg secunta andices flia, crgo si illa multipiretmrper (m, horper 9, fiet utrebique fum. Assumaur ergo pr. 9, 40 +4 X; et pro lm, 30)1X + G2XX, et suotibit
  4. Hocge + 2r 30 X + tu 30 XX 10, 30 t + 1l. 3
  5. fiet EE = 20 3 = 7 31.
  6. ~ 20.40 + 2,. 40X + 22. 40XX + 23.40X
  7. + 10. 32 +11. 32 +12. 32X
  8. +20. 41 +21. 41 +20. 41 +23. 41X
  9. 1 +1X + 2 X∞ +BXLAE te 1 X: 4 1C=E N 2 + 123 Xe +1 C.4 X 2 + etc = 0
  10. 20+ 21X + 22 XX + 23X3 f. 244 etc + 2f. X + 25 - 1 25:1 + 2f.2 4S: + 2f. - 3 XS. 3 + 2f - 4 X55 4 + ete = 0
  11. ultiplicetur.., 30+3IX+grXX + 33 X +gax t ete H. 3 G~L Xs a + 35- F AS: 2 +. 3. fu3 F. 35 - 4 X F: 4 + 3F-5 YS -5 + et = 0
  12. pucamst per .. 4ot a(xt arx X + 43 + 3qX terc + 4 -1 XC. +q C. 2 XC. +4 C. 3 x 3+ eaa xC- + + 4 6 - 5 X C. + etc = 8
  13. i
  14. A ab cde annopus
  15. productum prius, et productum poperius eosdem habebunt terminos, B. coincidentientur inter se
  16. st
  17. mnopuse tectum
  18. rectum bcd
  19. abedemnoxus abcde mnopu
  20. arbitimiae 4 + 5=, 9 aequationes 10
  21. cuonen solum invendentur novem
  22. abbitrariae, sed et tandem prodibu
  23. solae restibunt, 10, 16, eti; 20, 2 etE
  24. aequatio. in qua suolacis arbitrariis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 202v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0400?run=74