# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0371 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0371?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 186r, page id 00068201:0371 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 185v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=371 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000371.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 119 lines, status machine # Lines: 119 recognised, mean confidence 0.83 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. senionullans 10. 23 (0. 10. 13. 13. 20. 20. 22. 29 ( bi5. 10. 10. 13. 13, 20. 21 21. 29 f 10. 10. 13. 13.21. 21. 21. 2) si esset 10X +paX + NaaX + 13a 2X + a =0, et 20X +ZIAX + 2ax +2a=0 firtet cila formulet formulae aequationis movissimae. 147. 207 nem literae cuusque exdatis aquationibus servent, leger homogeneorum inter se, 1 W 23. 203 10.13 20. 23 12. 11 2820 10. I1. 12. 20. 237 14. 1. 12 23. 80 sed formanem formalem Nempe quot modis fantum non virtualem ex primae aeqolituis in membro verd quovis est laxhomogenectum ultaque servatur temioquinars tribus repetitis vel diversis tre ternio haberi potest dextrarum summa fuciens 3 quop feciunt 11. 11. IC 18. 19. 13, et 10 10.111420. 21. 23 10. 13. 13 11. H1. 13 II 12. 1 ni inelo atur que respondent etesnio baliens et B1 10. 10. 2l. 23 10. I1. 11 14.14. 12. 22.20 14. 13.13 1. _423 103. A. 12. B3 10. 14. 20. 22. 23 1d. A.3 faciens pnar 10.10.11. 22. 233 1414. 13, 21. 203 Ry. 21. 2 .1322. 2 ternio senans _ 1 20. 23 10. I1. 15 grsort suvor max et exhis patet quomodo forma forpalae delineari Omi dissimulatis lteris aequalioni datae primpis derenus so assubtas posterioris, quia et sunt artitaria sed nonc torci non possent terini intermedii quia tres literae 20, 21, 22, levera ad duas redin– cerntur ergo pro 23, ponatur 23-y. et 20 habeatur pro constante a, et fiet =0. ubi ut scinmus un demonstrari ex formula +2823 20.4 11. H. 12. B3 2 20 11 20.253 20. 2122 2. y + 1010 2 28.2 20. 21 (0= 21. 22 28. H. 22 possit succedere sublationem terminorum mediorum videndum an semper quales istae a quae ordine pta tractabiles ut assurgunt, sint s ultima non ascendat altra gradum summae ex ipsis videatur aequatio sequens 28. 21 20.21 20. 21. 22 20. y tiones + 20. 23 + 30: + 20.812) +23. G + 20. 21 d2o.2 si sit 10X + n1aX + 12a = 0, et 20X +21 a =0. firl 10. 4H. 2b Vn- 11. 2. 20 ri-0 fu sen fut si sit +10. 21 - 11. 20. 21 2. 20 Si sit 10X LIaX + 1a Xx 9a =0 et 20X + 21aX + 22a = 0 fiet 0= 10: 122 = etc quae aequatio per expunctionem et adinationem ita stabit 10,28 26. 22 13. 28 12. 22.20 bis n. . 2 e 2. -10.11.212 +ter 10.134. 2022 410. I2. 7. 22 -10. 13. 21 3.A W B. A. d. 20 = 1. 12 21. 20 22 19.11. 2I. 2C quae aquatis per ex punctionem et expi ordinationem ita stabis: 10..2V ex abis 10 R 12. 15. 20 _. 22. 1V. 1. B 2del u. 2B. D Herio. B 12 2 110M, 212F.1B13. 213 18. 1. 232 abs 13. 1B. WV. 22. X. 20-13. 119028 i (1B. 1. 13. 13. 20. 20241217B. 1. 13. 13. 20. 20. 2. 22 ]7 10. 12. 13.19 2a20.W. 2 - 10. 11. 137 B, 282. 1. 2) Sed haec aeq. quentum judicare possum debet esse deprimibilis, quond litiras seu divisibilis pes tormu- lum quam ingrediatur 10, 13, et 2I, nulla verd aliarum, quia praevidemue in aequatione no- vissima sublata X ex 1q9. 1 et 2. non debere, 10, 14,13 A3, pr singula ascendere ultra gradum val atae demm aset n sap areu ep teigria parlopr a sodtuat secundun, necsea l.28.1