Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 26r
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: 0.77.
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The machine reads it as
- O = a + b Ik +
- l + nTh
- (9)C
- Hoc nihul quic a , et b+ in conjungoposunt
- t
- s
- aa +bbh + I + mmsi + 2aC + 2bmto e sit 2
- 2abF 2lm F2a M = 2bl th.
- sit a et fiet = Vaa +HI + 2al + bb + mm + 2b h
- Ex per aeq. 3 per 5, 6,2, 8 fit
- 10. 20 XX + 10. 21 X + 11. 218
- Hic egregiam quod h non ingre-
- ditur in aequabem destructitiam 3.
- 30.40
- 10.40
- 20. 30
- Ex 4 elegamus
- 90. 20
- 1. 20
- 11.30
- 3041
- 31. 40
- 10.41
- 11.40
- 20. 31
- 21. 30
- 1
- 31. 4)
- 11. 41
- 21.31
- 16A eY 30= - 10
- (31) F 31.140 (10. 21)
- seu 11+ 31, 20+40 =0
- seu
- 10 20Y 50,40 F10. 40.
- (57
- 2abF ulni fam Z ebl =0
- sit a=, DX + 1
- 13
- l= 30X+31
- (11)
- 10.20+1040 -0 1 et 11. 21 + 11. 41 = 0
- 30.40+20. 30
- 10(3 - 30. 40+ 20.30
- Ex, 1D 20+40
- 31. 41 21. 31
- e
- (4)
- b cene
- M24e + 9
- dte 2150
- 10- = 30, vel 20=-40
- 5 21. q1 +21. 31 fit 11 = 5 - 31 vel 21 = -4)
- Ex Ita 21441
- 18
- et ex 16 eligamus 41= - 21
- 1.7 =10. 2D (4 10.25, +20. 31
- aLia + H1. 40
- a = 10X + 11 b = 20X +21
- 19)
- 20)
- et ex aequ. C12 fiet
- =0 seu 11. 20 + 11.40 31.20+31.40. ergo
- 2
- 3+ = - 11 vel 2 40 = -20 eligamus 41= D -20 fiet ergo
- l= = 10X +. 31
- 24)
- m . - 20X - 21
- et fiet deniqs
- (. = +1 evanescente tam indeterminata, quam irtationali unde coleigo
- q hoc non procedere.
- Ergo retentis aeqqu. 1, 2, 3, fudutemus ae94. , 82 sia ac sit et Mltemus aliquid circa aeqq. 37,
- si
- 21
- am am + IB + ab + lm =0 sit ut ergo redeat ag. d. oportet facere n = b et B = m
- +(67
- en be ex aeg. 5,67 g fier 4 = 10X+ 11, b2
- 0
- m
- al Zb3CX + 31
- 40x+41
- 11
- 20X+21
- na
- et fiet = 10 X + I1. 20X + 21 + 307+ 31a 40X + 4Y + _. 10X + 1I 40X + 41 + _ 30X + 31. 20X+21
- uae aeq. di explicatim posita coincidit cum ag.
- ex quibus eligamus 40 = -20 et HI et 31 = -11
- et prodibunt aegg. 10. H213, 19 15, 16.
- quibus valoribus substitutisu
- (20)
- aequi 12. fiet +10. 21 4 10.41 4 30. 41 -20. 11 0 fit 10. 21+10. 4+ 1+ 30. 21 +30,41 =0 seu 10+30, 2141 =0
- (19)
- sed arc rursus, tramlibetus eligama res non procedit, nam vel a+l vel b+m siet =0
- (F11. 20) ( 11. 29) (4 11. 40)
- itaque faciamus a = 10x+H b
- F21. 30
- et m= 40X + 4 (Xt . qpeu a = C
- Et ex aeq. 3fiet 3q sit a-
- 13
- e
- 30s
- el a
- b-h
- b= - m-
- a
- 17
- +
- 200
- 20X +21, 30X+31
- l= Q m= Z fit ab - fA1 Ini B ax sx
- et fit sile ca - 10 b = hot c- 30d D m - 40)
- 100
- e
- 300
- 400
- qu
- 95
- 100,206 4 (1 m v 1. 100. 308
- o= ab Lam + 1b+ Im. Ergo a + l, b+m 20. Nihil hinc ergo
- a + b sehc 4 stB + sef O = a + bAm + c IIn + fAnn OO = aa + bbim +Gung Fmn
- f- ab n - ac: bm = -bcl: a a
- aa celu aa = bb tmtrgo h. na
- na fit cen- bbm b- MnC ex A. nf
- CF ib = - a. n Cf.C = = a:M
- gen
- ocabe
- 20. 300
- an +2ab sim + 2aCNin + 2aF omn
- Lo
- 13od 289
- 2CFn.. 2bM..
- = 6
- u
- fib. ∞ ta. bs:C ~an bas a
- abdl.
- 0
- bc: f = a. l fit ff = aq: mn BcC = aa ln: bh = aa ilm.
- sed ita bittm b-a. stm Etgo bdm =a, et idem et catlis quod jantile.
- 100214 10 A1 L
- 1. 2 11. 40 = 0
- 10. = 20.31
Cite
Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 26r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0051?run=73