Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 126v
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: 0.58.
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The machine reads it as
- Hypothesin ferior, relit _ = CD: 88 ad a aX, 4) +U, apt +mn requaenda
- sufficit
- faciamus 3
- quadratis credo non suffecisset. Nam faciendo ax +H =. 9 + IB8= vit
- aaa OD = Zaaatit-l 8 = pt + 18. aatue aa t, etaC = apZr + plq et
- aD = aa t - aa l8, sit ut aute = 10X + na D0D =30 X + 31 a, Et
- 008 = 40 X 1 41 a et t = 60X + 61 a fiet 10 a X + M _ = 60apX + b1 a p
- et 30 ax + 31aaba 160aa aX + 61 a
- 40 plx 41 apl
- qoexa qu ae (X - Maaq adeoque ex priore boap, 4o 10aa = 0
- itemqe nap + 41p -B aa= 0. Et ex aeq. postertore secu secumatiel 60a -40a - 30 pe 0
- ileqe et b1p - 41(- 31p, D0. Ex 3 est 60= 10 aa - 40 pl, : et ex 4 est b nBl, : AP
- Et ex 5 est 602 30p + 4ol, :a et ex 6. est 61 = 31p + 4il, :a. Et aequando vinos valores
- ipsius b0 ejusdem, ex aeqq.7 et confiet 4 10aA 40 qul = 30p + 40 pl, unde 40= 10aa- 30pp: 2pl
- Et similiter ex aegq. 8 et 10 aequando binis valores ipsius 62 fiet 41 = 1aa - 31 pp7: 2pl. idem
- l Pactenns aequavimus quadrato ax +H, nunc ut idem fiat cum ax+ um,
- eodem modo procedendo, et loco egdem modo procedendo locot seu 60X + 6ia, ponemus 8
- seu 80X +8Ia et loco p, ponemus 4, et fiet 4d = 10aa - 3099: 29m, et loco _
- t loco ponemus m
- 41= 1paa - 3199: 29m; uad Et ex eq bims valoribus ipsins 40, per aeg9. I et 13, fiet
- loaagm -30ppgm = 10aa pl = 30g9pl et Ex quo de 30 : 10 = spaa ( pl. qu) p9 (9 - p n)
- et pari jure ex 12 et 14 fiet 31: 11 = aa (pl - 9m): p9(Gl - p m). Ergo 30 : 1d= 31: 11, Com
- pendeo aa(pl - gm): pu (q = pm) r: a = 30: 10 = 31: 1I fiet 30 = 1or: a 31 = 11r: a
- Ergo ex erit 4V = 1a a = 19r94: a, 29m seu 4D: 1V = ua - ur49. a, 29 m
- = (pari jure) 41: 10. Sed ita in numeratore et e in nominatore se mutuo tollent et
- fiit X constans contra intentum
- E - 8
- E EFC
- ∞ d C.
- D Cp+
- 10 = pd b
- nc
- DF + X q E
- en 1I
- p
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- E
- s re
- It
- i et 2. 11
- f 1d
- ncE
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- C 1
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- L C
- 2t 5 a
- 5 +
- e
- + 8 3 e
- +d C C
- ∞ + + es
- to 5 F F +
- 1nl 5
- 1
- il e
- 3: 2 = F 2
- s
- e
- 5 + +C
- tac tC =LtC F
- X ∞
- 5. ID p K
- p .2 7
- e
- nec
- C+
- f. +
- ~ 1 1C E +
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- 1 F D D
- ei per
- 5 5. EC
- e F eri
- it F9
- E. PrC 2
- J. 2
- + ∞.
- 3 11. Cl
- 1∞ ∞ +CC
- fsi1
- + 1I e
- +O Fd + P
- euo 10
- Ce =5
- + 11 d YC
- da= C1
- F E
- c ll 10 X
- O...
- : r0
- 5
- l. 1CC
- 0 f
- a
- 1E. 2X
- = + 1C∞F
- 5 F 5 19 5 F F
- ∞ - 7
- f 8
- decd ∞ ~
- ∞ E+ L IC
- F +C or
- ∞+ X 1-
- 1I E ~ H A
- d
- N con X . E
- 55 L
- ue 10
- F
- id X X =
- e Y 11 F + 5 5
- P= +
- DE Z F 9t
- i F 5 11
- D oZ X X L
- 0 F A 1I
- FEA
- F F 5C
- d 5
- 105
- + 72 +
- AC FC
- n 2 3 =
- 8ue t
- E F FY
- ∞Z 11 + Y d si +
- ∞ 10
- SF =a
- d= = F _=
- + 5
- d 5
- ++
- 5.
- 1 11 +
- e+
- s
- +F
- fx-
- 3+ +
- 2 ∞ te F1
- F +d Z
- 4 +
- 2.
- ec
- F = C. 3.
- ∞ ∞:
- p con
- F 1. X=F
- A. W. l2 3
- ex
- LF
- d d
- t II = =
- eu e
- E s
- + A
- a + E
- 11 SF)
- 2 Se
- et l
- E. 18
- c0. L x
- s
- = + C
- ∞E da
- . +E=
- recle x
- a p
- a Ct F
- L, 1 F F
- ot
- f
- ra
- 1 D
- C
- 1 L1 F
- i 1 fte ∞
- 1a
- tec of 544 F 2
- + II ∞
- e
- = = 32
- e.
- C +
- iea
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 126v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0252?run=74