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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 85r

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: 0.77.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 86v); this page is its right half.

The machine reads it as

  1. 0 haerou
  2. utcunque offoctat
  3. qtosti duci. noc
  4. quosnomeus quibusda alyo hancn
  5. Curvaru Thooromata invonisso quorue Duum
  6. ad Curva aliqui quadranda sit Z abj
  7. toro alsussae nor maeitor insistons, uli etorae do.f. d
  8. sou creponontes dignitat quibus assn ; , et n’Enducos digu
  9. C + fZ1
  10. dut
  11. Q n
  12. S
  13. f2
  14. ubi ducits in sd tota subsoquents, et A, B, CD vc donotant loros soroi proximd autocedons, n. A-
  15. Uorus erumque 3 B lery Saund, 1 X et sic domo oyps. Jlaec sorids ubi _= Aracho d, _ nigs nogalioqs. qti
  16. unals infinit: ubi voro r intogor d affirmatious qtmnatus ad tot locos H, quot unctaros 250d o F, et sic
  17. exhibot Geomotruu quadralura Curvae.
  18. nc.
  19. Qeadrandi Curras hanc soud expla 4 suljungit (quae brovitati gratia pretor melto) nitoron duos od casus
  20. f + CZ) et hoc casuf scribondq 3 soro X Sooromalo pro e. ot o f y - n pron, O + 4 X pro 8. Et
  21. si soucos: noubre easu abrum pils et Pructa radit, concludit Curra d ary nre quae posit on quadrari
  22. danc rogula et aumadvortit dibo m aequationb fuictis ardus oiy gometuu quadratira ad muttont curvary
  23. quarque ordmati applicatae constant ex potostatibus, Eadiibus. V quibus libot dignitatibs binoarii cuju cunque. Et qdo spusmod
  24. Curva d poto Goomolraed quadrari, ad manu alia shooromata pro comparoot op cy conerit oc 5. e abi
  25. Bann omaleenna quabus poto comparari: ad qd sufficor ds Roc ypsys ja doscryple shoordme di dobito quinnetz:
  26. annis alquot post serypla hanc ouistola olaposis, D2 Pavio Grosorius tunc Mathosoos Profosdor Edmburgonsis,
  27. nanc Colloga mous dignisonus invonit palia Mothodus (uti audio) sonem opdo grid et Raced norotonma, quanm
  28. tons complontoubus involnta, damque D Archibatdus Bitcarnu, diobus bribus ercclor V quatuor autoqu nontoncana didorant
  29. in luc Doudit. Nam D Johanas Chacg. qui in Acadomra Cautatrig onsi cum 3 nonotone quorsalus suorat et sduo
  30. o ibi rEdorat postulabat a nortono jede E prstolam ut is oxomplat sordi suae ad ipsus tunc Edri commoranto
  31. nivrot, ut 7 Gregorrana conforri posset
  32. Htans soro D pontons: Mooroma primys vocat: Duit 50 pro Caris quarus Ordmatie Srmoniis
  33. onbeantz et pro aeio quibusda rogueas aliquas guunasto. Jamque in ad mo datis aug27, et Sopt 17. 1692
  34. otdri
  35. scubit progrosdionos de hory Thooromaly in infructy pergonles, quae ton ora in sujusmodi Thooromalis gratioribus com
  36. pohondi post.
  37. Si Curvae absusa sit Z et poro toris sup sorioi a + 6Zn +
  38. +d7 3n + d hujuszur e+ f 2n
  39. 9721 + R23n + Dc roe pro dors quolibot scubantz et R rospoctiro; n. 2 pro primis et pro socundis:
  40. sit (a ordmati appereata 2 = 1 2 R = 1 e ponat = r, Y + 2 = 5, 5 +2 = E F + = Y VC: dit ava Currae
  41. ZX in na + Ab sf At a + tc =1fB t91 7 en d 7f. C = EgB- vRA Lon + v
  42. r+1XC
  43. r+ 2XC
  44. Ubi A, B,. C, e donstant coosficrenles datas lorory soiisz signis suis, nopA prmie lori, coessient B
  45. secundi coossinontom B-sf BC sit donncops.
  46. Y F 1 HC
  47. Dua mothodo in hupmodi sonos imedit minumt dexacat, dando on clouo quibusda coeavit quae rocto ordmd
  48. confitiunt hanc soltiam. Pata aequalione fluontes quoteunque quantitatos mroevonte fluarones invonr: et vud
  49. rorsa. Por fluoures quantitares intolligit Indotoratas 1.0: quae in gondrao Currary p motys Coato sopoluo augonls
  50. diminanat3, et p darus flusecono illiyit cocorctato moromenti docromonti Nam quavit fluontos quantitatos et eans
  51. fenocrones ex ima bronto quopolu diffintos rudeantz, (solent nova diffieitus quspi) eaunds on nonono iico sarilioro
  52. dvasura poutat qui sit nolio momontorys aut ply minimary r difforentiars insuie parvarz; pproptoroa q siqua
  53. de quantitabys gonoruo je moly cotinuy magis naatis d, et facilius qupi3, et Schomata i hac mothodo socont ’inspliioe
  54. qi a phy. Atton d negergit Thoorca taerus phy, A ea e, utilzs quoties iosa Nopus broois roddit. et magas porspreuy;
  55. ad Eimandas seroronus s portiores condnito abstisum Carvae altamoo alquram quantitatem seroentgaum toimutor
  56. p -
  57. d
  58. X
  59. c+fZ
  60. Huc 0+
  61. S=
  62. EZ
  63. r2
  64. 5-
  65. ou
  66. r= 2
  67. 5- 2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 85r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0169?run=73