Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 35v
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: 0.83.
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. 36r); this page is its left half.
The machine reads it as
- x = ath - 2ah ut ante
- si G = 0 et d =0 h fit y = b Z = 1
- si a = 1 A
- se epert a 20
- b =1 fit
- y = b Z=1
- si h = 1 et a = 0 et b = 1 fit y = 0
- =
- si h = _+ et a = 0 et b =0 fit y = 1 et 2=0
- y = 1+ ma+ nb + ph a qubstan son + Caba nadi si h= 0 et a =8 fit l + nb = y sed y - b. Ergo l = 9, H1 n = 1
- Si a = 1 at h = 0 et b = d fil y = ma sed tunc y = b Eup = 0 ergo m =0
- si a = c et h = 0 et b = 1 fit y=1 sed ex formula y = L + er B, + q ergo g= 0
- si a = 1 et h = 1 et b =0 fit g=0 sed exforimnta y = ph + rati ergo p + r = 0 seu r = - p
- si a = 1 et h= 1 et
- 1 fit g = 1 et y = 5+ t = 1 seu 5+ t = 0
- si a = 0 et b = 1 et h = 0 fit y = b = 1 = (exformula) 1+ s
- 5A a =0 et b = 1 et h = 1 fit y = 1 + p + s sed y = 0 ergo p+5 = = 1
- sy 4 = 0 et b = 0 et h = 1 fit y , et exformula y = PR = 14, Ergo 5 = = 2 Ergo t= 2
- ita tandem y = b + h = ah - 2bh +2
- abh
- SebR _. sit Z = l4 na + nh + ph + gab + rah + sbh + + abh
- si b = 1 fit Z=1 Ergo si a = 0 et R - 0 fit 1 = l + nb. Ergo n = 0 et l = 1 si a = 0 et ha
- fit 1 = 1 + p + 5 seu s = - p si a = 1 et h= 0 fit 1 = 1 + m + 9 et g = - m Ma 21 alt - 1
- fit 1= 1 (+ n F p FG2(: m + r -D + t seu t = - r
- seu
- sin b = D, et a = 0 et h = 0 fit Z = 1 = l, quod jam tum constat si b = 0 et h = 0
- et a -1 pt Z = 1 = 1 + m Ergo M = 0. Ergo et g = 0 si b -0 et h = 1 et a = 0 fit
- Z = 0 = 1 + p. Ergo p = = 1 et 5=1 si b =0 et h = 1 et d = 1 fiet tan-
- dem Z =1 = 1 - 1 + Y. Ergo r = 1 et t= - 1. itaque tandem fit gene-
- raliter
- + b
- 7= 1 - h + ah + bh - abh.
- (+ b + a
- itaque tandem
- ubi patet se per Identicitatem rarsus subesse nan
- + 4
- Dh
- F4ak)
- 74bG
- - 44b4
- + 2b
- (42A)
- rat
- 4bh
- + dabh
- + a
- 4h
- rah)
- = 4 + 2b + a - h
- seu 11 b 1a
- h
- sed quia haec inquirendi meds methodus indirectior est, et prolixior, nec nisi
- 4 Z
- in subsidium adhibenda, placet uti directiore tali Nempe quia
- jam habemus columnam primam
- (+ b a
- Nempe cum ab 1)+ b) + a ortit detrahere B
- oportet detrahere h, habenus ex regula subtractionis
- simplicae in columna prima a + h = 2ah, et in co
- lumnam secundum transferre oportet +ah - h,
- addamus ergo prius ati, ad b, fiet +b + ah - 2abh
- in columna 2da, et abh transferetur in tertiam.
- Nunc praeterea ex columna secunta, id est ex brah
- b + ah = 2abh subtrahere oportet h, Ergo per
- regulam subtractionis jam inventam, in ea scribe-
- tur + b + ah - 2abh + h, et 2h (b + ah - 2 ab1)
- ergo columna ida his in unum collectis erit
- b + h = ah = 2bh + 2abh et in columnam
- tertiam transferetur h (b + ah - 2 abh) = h.
- quod cum t iam in ea extantibus nempe
- +1 et abh, dabit columnam tertiam, ceu
- 1- h + ah + bh - abh. Neque enim hac e hic
- regulam additionis oportet applicare, alioqui iretur in columnam quartam
- quod fieri non potest. Et judicio est, hanc collectionem non posse excedere
- unitatem, quemcumque valorem habeant a, b, h.
- C
- pro +1
- rabe
- bitu
- + q, tabe
- Er abhadabe
- hsctalti)) Intah alabi
- 2se rabh- dabe)
- inebhorah. 2ab2)
- itab ex
- qires
- oispua
- ah
- rabh
- tab
- at
- 2abt
- dion
- ea
- gabn
- 2bh
- t2abh
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 35v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0070?run=74