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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 201r

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 is also registered as fol. 202v; its text is given once, here.

The machine reads it as

  1. Alia Methodus tollendi inegnit literam quae duabus aequationibus gnuetur har esse potest Estu aequalio 18 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. Zorgo + 21 30 X + 1 30 XeX 10. 302 , 19 5 + ll. 3
  5. fiet EE = 20 3 = 7 31.
  6. ~ 20.40 + 2,. 40X + 22. 40XX + 23.40X
  7. + 10. 32 +11. 31 +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 poserius 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. 201r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0397?run=74