Leibniz-Handschriften zur Mathematik LH 35, 3 A 5, fol. 6v
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.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 1r); this page is its left half.
The machine reads it as
- + bb + 2bc
- Lad
- +bb = 2b22-
- aa
- b2 Dbbcc = 40bcC)
- 2bbd
- +- 2ccda
- b+c+d b0 bb + obc nB bx
- quadratica
- bc +36
- +cc
- b+ c
- b-c
- hc =cC
- bb + bc
- bb H - cc
- +bb = 2bc
- +cC
- b +c -d
- +63CbbC 2bc0
- Ebec
- =le
- b7 - 200cc = 8bcde
- fiet:
- bd + 2b44
- b7+bC - 2Du. 2b cedd
- 186 cde 8bidef.
- +4b+ = +9b ccdd +24bbcddee
- b+ 6b
- tbcdo
- =babbuddet
- b + c + d + C
- 6E = b ed 16bbcade
- icerummultiplicetur per
- b - bbc + 2bcd2
- b = 2bbec + 8bcde
- 163 = bbc + 2bcd
- (etiam possunt locli multiplicando
- per 60. bc.. sed et productum rurjus multiplicando,
- ita assingetur ad sextum gradum. quod forte utile ad
- oscendas progassiones
- C 14 (+36) (+, 48)
- C40) proba
- si sit b+c+d +et f. Attollendo modo dicto prodibit: bd - 4 lcc +6B C E 4b2 cedd - 40bbccdd ee = 128 bbccddet
- qua formula multiplicata per
- rursus sublata erit irrationalitas. Atque ita pergi potest in infinitum.
- b. bb b+c. bb cc H b+ c+d. 9 - 4bc
- bC
- hc
- luc
- (+ 2bC)
- 6+cd
- + b =c+ d
- +bd + cd - dd
- -cb _cc + cd
- H - 2bbec
- b+c - d - p
- bacad, bisca dsi (3) boc = dd p. bbAcc D- dd =+ 2be bbrcc.dd - 2bc
- +lbd ad d3 A (xdd
- =bbc AC Dedd d
- - b3 + bcc + bdd 2 bed
- (2)bFC = (Are sib + 2bc - 2de. Scribatur
- 1e)
- b0 b aequ bb.
- B (1 bbacc -dd = 4bbce
- fet bacid bac.d, bb + cc - dd - 2be 1 +b = 2bbcC
- b +C + d
- =b3 + bbc - 2 bcd
- 5
- b+c+dte multipl per ab +e+d per
- +c
- -dd
- +c4 - 2b6dd
- b + C+d b+c- d b - c +d b- c - d, +o4- 2ccdd
- le a () cud p +b - 2Cd bacc - dd + 2cd
- to
- S
- A - 2AABB
- + b + c+ d2
- b +d
- + b - c- d3
- -b - c + d1 - bb + lisc. a
- + b +c- d.
- BA = 2AACC. aequ (4) bcC-dd- er + 166 416c)2
- C4 = 2ABCC
- 2(2) 6c. dd ee
- seu A-gAAVE BAAddee + 8bbcc ddee
- est autem A aequ bb + c- dd- pe
- b+c 0 b -c aequ. H. cc.
- b+c+dC b -cad 7bb - 2cd
- Scribatu (C. ergo fiet; () tbbucc - dd = 4ccdd
- b+cd re b+c- d -e aqu + bb + 2bC = 2de. scribatur ( () bb tec - dd ex - abbcc - 40de P +B,
- egemim
- b+ c+ d + e +f 6 b+ c - d - e - f equ
- b osuu non
- b + bb P - 2cd - 21- 2de 7
- oriuntur
- 42bc- 2de-2dp 2ef: sed ta rusus quinque partes
- Methodus autem commoda haec est: b+cbac, = C bb - cc. sit jam b caequ d+e et loco bb cc habebimus
- bb - dd = ex = 2de. quae ducendo in bb - dd - ee + 2de habebiinus. b7 - 2bb dd. sit misus eaequf +9. et erit
- ee aeqo H+gg +. 2fg et C aeque f+ 4591ff99
- cui
- +4ff 2f9
- r e
- da 2bb ee
- 20d ee
- et fiet b+ - 2bbdd = 4bb 59 seu fict bt. 2bbddum alil f
- = 4bbff = 4dd
- 26699 + 4f f
- Atque hac ratione pergi onstanter potest in infinitur, ut enim 200g
- 2dd55
- +49g f9
- hac explicatione ipsius esola restat irrationalis fg. ita ea tollitur subsequenti multiplicatione.
- 16ff99
- eademque muthodus mutatis mutandis etiam locum habebit in cubilis aliisque radicibus, muta fuss
- tamen mulandis superunt enim incognilae plures
- b + c per bb + cc bC dat b3+ C3 pontu c argo dy e. fier: + b2+ d +C +. 3de d+e
- N.irationa
- 104c- d
- 0+c+ d
- B Add
- 1b.
- abect
- cb = bd
- lid
- b8 - 4b cc +6bc + rbEcdd- 40 bbccdd ee.
- i l - bb + (2) c+d
- + b, 1c087
- +bb - )2)cad
- c
- 18A a
- mullipliper b2. iblod +alit. f9
- scs
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 5, fol. 6v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068218:0012?run=74