Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 174v
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: 0.78.
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The machine reads it as
- sit eL O ingrat d = InZ + ag = pu t ati
- sit E 4 +d 5E +d sit 42=
- O= saztas D2 Caztag G= Saztan
- OD= ataaque +a YZ2+ s + 59 0D = a YEZ+ F1Z+ sh
- aX = imOD + n OQ + pDG tagZ tar de
- an s. an fh
- ramr trur +rapr
- a’en aten aep
- aem. acn.. atcp..
- aequ apg.
- 2aegr.
- acq.
- ZOn. H o st e attH OD+ asiosQ ta st Q ras 2Z + a5
- ratd
- sd
- ras 2atd raud
- Haec yparanda, idemque ad huc simel
- empe bis novse
- Habemus 15 aequationes et arbinaria,
- at
- a P dk
- atY
- at er
- ab
- + as sg
- at
- ad au q
- 2ade
- teb 829
- 042 + sn + 9B
- ax =arop Z (0D mp2OQ +mn Z rnphOS mptamnf 9Q tamZZ + anf Z +and s_
- Ag. nq. rap9.
- tbc
- at
- e
- aetfh
- a gh
- at
- a valore ipsius X habobium 5, a duabus ruditibus 10, et a valoribus 0, D, e adhuc 3. summa 18
- Aliter sit ax = mOD + nOQ + pD E t et ax+ ab aequ. quadruto atlae 110 + uD+31G
- et ax +BC vg. qto ab 410 + 51D +61Q denique ait ae aeqgto ab y10 +81D+918. Ductis jam
- aleibus hou tium fis tubus 10 + 218+31G, 410+ 51D+61Q, nO+81D+918 in se invicem, efficiendum erite ut
- destruatur CDE fittantem 11. 51. 91 F 11. 61. 81 + 2. 41. 91 + 21. 67. 71 + 31. 41. 81 + 31.51. 1 = 0
- Habemus aequationes comparatitias ter 5 seu 15, cui addabur destructitia ipsius CDe sunt in universum
- aequationes 16. arbitrariae autem sunt m, n, p, gr. 11, 21, 31; 41, 81, 61; 71, 81, 91; f, 9, h adeoque in summa 17
- itaque non despero rem posse effici hac via, que videtur simplicissima et praecedente nihilo vadetur inferior
- superest ad huc arbitraria ex ipsa explicatione ipsius X. illud dubiu si 11. 21 = 41. s1 1. 31 = 41. 61 21. 31 = 51. b
- an 11 = 41 et ia et 21 - 51, et 31 = 51 ? quod matum foret 11 = 41. 51 : 21 = 41. 61 : 31. fit 51 31 = 21. 6).
- ergos 21 = A31. 51: 61 = 51. 61: 31 et fiet 312 = 61 et pari jure 212 = 51 et H = q, hinc
- foct faceo possumus Saextab = W FL O + 21D +312. saextae = 1O =D +3Q et Saxta = 11Ot2. 31G
- faciendo scil. 11 = 41 = 71 et 21 = 51 = + 81 et 31 = +61 = - 91 seu si = 2i 81 = A s2F 61 = +Y 3s 9- a
- en
- quaevis radix cuiquis val radicis valur habet unam negativam tres affirmativas Caeterum, ut
- aqe sit = 15 + 21 + 3 = 41 + Si +61_ = 7,2 + g1 + 9i succedit ex jam inventis sua sponte. postremo fit
- ar+ ab ar tab = 1BF 11f +219 +3h, sed hic demum prodis absurditas, nam peret art ab= artaec =aerrae
- Face videumus an res melius, si faci pro _X+C
- tq V C W + D. pet IY KX et X+d adhibeamus ex + C et KXt
- Fortasse licebit viteamus eriam an pro XX tab et XX + ab, se prodedere licelt ambo aquando quad vatis
- ut far cianuu
- X = _m 9 + nD + PQ ir ita exx +ab aequemus Bto ab g∞ + r9+5 et KXX + ab aequamus Hto a tO + vD WC
- ar + exX= EmnoD tmpOQp D tmmaz temmas
- de pe
- a epp a
- C =1a iaqu rars Ha q az ae pas
- qeyagr = ema g= emniar =emp: 2 5 fu Sn = Yp. et fit rosn: p
- ruisus r = enp. a5 fietque epp = a 55. seu 6 = pp se. a
- Sed video rem non procedere ob absurdituim ultimo leumrno
- sit ax tab seu ameD rand apd aq
- aqu. Dto at 1Btu BNI seu 211. E1 2 113 221. 31 + 1aZ 10
- Sit si at
- aex+ aC = yto ab 4 0 + 51 D +6,9.
- ats +a d = quo ab nO +BD+ 91 8
- en 21 = 91. 51 eH. 31 = 416) C.V. 31 = 41. 61 fit
- tiet ae a4 = C. 1 a S = erY a61 = e31
- aCx =
- aCx =
- Sit a v = ut dx
- d
- mendo
- sig
- av
- pro min, p, 1 fia
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 174v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0348?run=74