Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 95v
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: 0.70.
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The machine reads it as
- Liberiores erimus hoc modo: X = 1O + 1D,: 8. erta dx = = _+ 18: 10= 10: 185.
- dx n- Loxredabit YD8 - 91 (D: 8) + 10Y - D B: 8
- 2(5 - Q10: 1 7 + 91 (. D 9 13. 1 9. tE
- Y8: 1D - VD: 1E, st
- ita nunquam excedimusbi
- miplum
- sit ego K: a = (OF (D 3:) 8. fiet XX + ab, XX rac = 8 + 210D + Ab , 8 + 20DrcL, :
- c
- F
- et X + aCKX + aabC; a a+ 0 +6∞D 400F
- ab)
- aequ.
- qu (a9 +f107
- aa8)
- Tab G VoD tbiB + bc48
- X
- l
- et
- aaepe+
- otine ut comparentur pumum irrationalia coincidentientur, fiet
- E8
- = (8+C)C4 a (O+ D), : _b) quo valore substi tatio in
- equatione rationalia identificante, habemus ad huc tres literas O, D,
- subi c ad se habetemr et ita quantum apparet camplm ampliorem praestandi quaesitum
- 2
- Et ix icado et per 100410D+ videbimus an ope le et talli possint 60+ 3D, et OD
- ila restabit solum. C +.. D +.. =0 seu vale quaesitum fritasse nec est apus ipso 11
- ut ergotollamus CO + DD, et C habelimus aa cB +b aa OD + bC 4Y + etc = 4 ad + Ov + OD , etceru 1
- (+41B abre (Or) b) )
- aa qu (er1) + ZMl , 4 jusb NBrb
- ex + Baa (br Deustre
- Etese
- aaq te
- etfer odan o a(t) 1oobe a. H et 600. 0u aa t 200 a (bre) 12 1onolc - e) H
- aaqu bi) asbe queaque t)q)
- + abi Cs(o OrL 1O~)
- od
- ( 00. 00a ,00 aa
- B
- ergo fiet (00, 00 aa) 1 00. alb. c) 10 + 10 1obc (00. D0aa) et fiet 10 =- 00 a (b+9)ibc
- et fiet se
- d
- aa C3 sint 1t V uqu (btC) 26) g FasorC ((C31 1) 8 + 16a qu (B11) - 24070d.
- fiet denique fiit abtra (OrD) + bes _ by2DC,
- - bc 5+
- unde sin Q + h (C+ D) _
- C
- 1f
- =a (b+C)
- 99
- 4f
- Laa)
- et radie deb et ex seu Z+ h (9+D) = . Y (Chh - 4 l9) qu (915) - 49m OD)
- C
- + H
- fiet schtr Alg = d om om quod sub vinculo ridicali est, potest
- is
- esse m 9 an qu (O+D) = 4n OD, ita enim fit O - D, Van Ent ego
- agm (= aan) Lahh- 4 lg et explicando aqu-aagu (bu c)- 4bc A
- et ahh = 16a4 qu (b+C), 4, (+ e H 4a + f jage
- a l= 4 a3 - at, f et 9 = aqu (H) ; e
- et 4alq = 4a qu (b1C) - 16abc ff = a Y u(b+C) + 4 af bc : 454
- nost
- Aqustrc be
- et fiet aagusbec - a. H bc 1st raa - a qu (bre) qu (2aa = ) i an vi va )
- AaA
- na gu (O+) +2aaBD +bC Q8 + a (b+C, C1D) 8, 4f = a 4 8 ( (C)
- fiet 88 + 8a (b +C, O+ D) Y + (16d - aaas) qu (3 + L A (H- 2a a) DX
- O
- = - gats..
- +4C
- taa
- 2a (ea. ) (b+ cser D) + YAaa qu(an ff, boc, 3) - (aaqus btc) - +C)a
- aaqu (btC) - afbc
- ua
- ubi quod sub vinculo radicali invenitur, compendio sic enuntiabimus: Y(al = ma) u (O.D): = mI OY)
- seu b
- aa qub+c)- 4fbc
- positis = aaqu (b+C) - abets, et al = gaa qu Cna -H, bnc, D n = 2ita (Bda 2H) p= HX
- vel abetesse A Daa b debet esse mp = aaq et al-mn = aq seu Aal am t mo seu
- in 16a4 qu (3aa -ff b+ C) - B Laasna-) (aa qu lb 19)- ib. H) 4 sis ( aq Ibe
- sa Sbi) e ga (aa qu bre - 4+ beff) -. Z 4 ff (B araa) (a ( mibre) qu H)
- unde fiet vel aa qu (b+C)- 4bCf = 0 vel - 8a = 4 f 8aaH. seu 2y5~ na H()
- vel sif = a f = a(b+C): 2bC, sed uta destorveretur QZ, sed hoc videtur non licere,
- fiat f5- 2aa +0 evanescet OD, evanescet etiam. _ simplex, et siet
- 18
- =
- 2
- 34 qu (6+D)
- 6. (8pabe a abb raabe
- o
- (Or
- ancc
- abata
- Aberaa= aaqu (b+ C) (bc- qu 3bb- CR
- si b et C sunt rinsem figutres est possibilis, sia minus veritur ad inapitaras, sod tunc faciemn
- B et D ettam imuninalias
- fsl) +2a5116)
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 95v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0190?run=74