Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 327r
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: 0.82.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 328v); this page is its right half.
The machine reads it as
- Nemoratile est
- V+b, v+C) posse reduci ad rrationalem
- al + mo
- pC): ant p
- aat pco). atis
- et v+C = +aen + CpCo:, an +pcc. sit am + bp = 0 siet m - - bp: a
- si sit etiam al + en = 0 seu l = - cn: a, quibus valoribus l, et m
- taal + amco
- substitutis in Y, fiet: B - e-paen = +bpco, et fiet
- ean + pee
- sic a
- V+b, v+c = V + ab 2
- p
- antpo
- ita duplex irrationalis reducitur ad simplicem, an forte eodem
- Sed quia ex alia
- methodo re oritur spes hoc modo posse reduci quatrip
- modo ut quadruplex ad triplicem?
- ergo eodem modo fvi undo o Vortab, vntac
- posse et onicam
- immandum fiet hoc ipso calculo tantum pro B substitu
- endo PD et pro b et c substituendo ab, ac fiet inquam
- al + mao
- ab - ac S- anpco et quia vB = aa antpco
- tamco seu-aa cn tabpa sed hinc. dv habe in se duplice
- vetab, ertac = an tpco
- an + pco
- ita redimus ad triplices irrationalitates
- an+ pco
- Aliter sit
- rrationlem
- Eltimeo
- antped
- triplices irrationalitates
- pet v+b, v+C, V = ro cbcd p+ epto
- t pro co substituamus coco. seu t quaeratur (de V, vtb, vtc, v
- sed video sic rursis rediri ad
- fiat v- al tam vco,: aan + pcoco, et fiet fiat m- - bp: aet
- aatltuloco
- sal +mcoco,d gaantapcoco
- et l= - en: a, ut auto; fiet que
- cos-p, aan + paro
- b.c
- de R, V +b, v+C, V = an +pcoco
- do V, vib, v+C, V, teulemus sic explicare
- V =
- am co taq eoeo
- aann + 2apCo + ppcoeo
- taabum +rabup co + bpp c0co 7:, aannt zanp + ppeoco
- V + b = au nna ra + a + a Meo + agod
- in priore festmantur duo termini summi, in posteriore duo infi
- compendio na a + B a ∞ t idoe in 20aa + 21 aco 22
- V + C = + aaenn + 2aenpco +C pp cvco)
- fiet produotum 102042 4 10. 21 a) et + 10. 22 cc a d cd + 11. 22 a cd
- + 11. 20 43 c0 4 11. H1 aa cdco + 11. 22 ald
- + 12 20 aacoco F122A a co +12. 22C0
- net mini duo infimi
- sit 2029 10 =0 et 22 -0 et n = 0, et 24 = 0
- ter cnn: aa
- in priore dessimantur termini duo summi, in posteriore,
- = 2a b X p + 2 ac =0 sed hoc non Ecet
- = - bpp: aa m = - 2pbnp. aa
- a + aall + 2al mco + inmavco
- aF d aann+ ranpco +ps cved
- restat am + 2a enp =0 seu
- fiet v+ b = + aa+ 2aa lmeo + a mm eocd,: aann +ranpco + ppcoco
- Ergo faciemus V quadratum seu V=
- +aabun +rabup a b ppcocc
- LH XXXV, XIII 1 337
- v+C = aI + zaalma + a mn coco: aann + 2anpa + pp coc
- Hic pates tollendo in uno summum in altero imum rediri ad triplicen irratioraltalem
- aaennt raenpco + C pp cv eo
- unum ergo Ergo in uno tollamus duo summa, sit
- ps- 1
- amm+ bpp =0 filt, sna (p a tab sa
- n: L-
- porro 2aa l p -b: a) +rabup = 0
- sit 2aalm Lhabup =c. fiet f4a L ib: a ) pF. 1 + fqbn
- fet v = -a1
- seu 2aa p: a) tab f- 1 + 2ab ap = 0
- seu alfs -1 +n Tab. seu l= - n Tab
- l= an tab_: as-1se
- tab
- sa quia
- :a)Tab -1. sed
- tamis natiproco, t ppeocea
- asta ld n, ut Pm ab p. pute o fieoc heremiralta
- 1
- ita cad n ad P
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 327r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0649?run=74