Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 30r
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: 0.74.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 29v); this page is its right half.
The machine reads it as
- Nunc ergo ad aequationem nostram primariam redeamus, ibique ualores repertos
- ipsorum 40, 60, et m substituamus, reperiemus autem omnia posse dividi per am
- Et sit ex ea 30. 30 avv
- O= 3030 av0 + 2. 30ap L Z - 2. 20. 56n aY - 2. 56 f ) t. aZ
- et fint Z = 30. 30VV - 2. 30.56nV + 55. 56CC, :, 2. 30b0. - 2. 560 (n +b)
- Et 30 = sC = 2r, firt ∞
- A+ Er 4
- = vV = 2nV rcC
- -bv + DCn + b)
- ipsias Z, fiet
- 2gu(rt ) B
- sb o a alui + (n +b) CC
- ubi ulique evarescit Y, et faciendo p +b = p. et n. b-9 pV + 2 b n) V
- utmunte sic lompendio b + n + b sit pet nab situq. En firt D
- lh.
- st
- ut m = n +C et n = YCbbAce)
- _, ibum D =-
- +2r
- 2 E fit v DxbuY L 2YbpB
- jam C = m D - ab, : m = mB - cc, : D
- vv -
- = Apr VV EBAB p
- rvo I CC
- A 2tbD + 2rbp
- = bb v + 2bbq v
- +
- 2bp N. ton +2ce
- = bbcc
- an C
- 2bp
- quo = 2qu + pcc
- sid redeamus ad aequationem mDD - bbD - mm D + mec = 0 vel ob mm En
- mvb = 2m V + cem
- + 2m bP
- sint, AD = 2nD + cc =
- qpqu + 2 pcc v
- .
- tbn
- a(pju =qp cCv pp C
- +2n 2p9V. - 2n pcC VV
- tant -qurqpp .. +2n 2pKC
- =2ncc_ on LEnCC
- = 2n 2bp 3
- ob
- + ce VD = 2CC4
- av
- pa ccip.
- ACCH
- e
- Ex v sis abb abb t Abn + sum Hoba CG + qon Alt C abidC tud- qtn Lbb c
- Ex v sit 2nb (bB-Bbin =) C) c) + 2nb A cc= 0 suvedit
- Bg esse nn - bb = ce, unde lotis termitus divi di potest per ac
- Ex V diviso per p, fit nn Z_nbb + 8 anf _nb - 4cC = 0 succedit
- et D fore constantem; idque praevideri poterat ex natura aequationis
- nt -cc . debet ex identica depue hendi inventis valoribus ipsorum Teretur t 2
- n v, ut nonaetit Conorutamus, novandum est q+ p es = 2n
- tecai
- Fqu
- + mvo - 2mpV + mpcc Am on = Emp V + mpcc
- + sem
- aee.
- tepe.
- 2nqv
- ten
- mun
- 2
- +56. 5baCC
- D2brwV 2r(t) V
- (2tb) rWG= 2 (ntb) u V + (n +b) reC
- Arv- 2ArnV + arcc
- 82rbV t2urb (ntb)
- +pcc
- topec
- bo - 24 Esp
- 3 = Z: 2
- tit mhrt - bb, D
- = in E- Cc
- nt-bl in GbEH t. Z
- in hk bbHE- inti - nCc
- 42 =
- -2nt
- Encepcc
- F2nEopipq. 2n
- + qccbp
- = CC24
- -45
- Hoc
- aequatio
- debet esse
- identica
- per V, abcunque. sscondant si sint vjusdem gradus
- Sed video dandem totum ioc nape
- rao uatet
- redigi
- et quidem
- deber debere et ipsius e binos hos valores seddi posse identicos it est si sut op
- et et habere eundem denominatorem et numerptorem, vel saltem divisionibus. t dibersi
- taeu maniteste petent in nostra aeg. N, quae cum sit identica, debet etiam in frrma fractionis ilpalica ostendi posse
- per constantes, si sint ntrobique ejusdem gradus; v per formam rariantem
- at ide
- inqrdec pie
- ilt od dls
- Htine _ cum sint
- imus et nus ternim
- iet cem + embp. :M = Bcc: q seu ccD + 2bpq = piC. quia pu = Ct
- ejulda grodus dividatur aumeratur verter per m, et simiter per.
- ailet rem contingere et
- e
- s ttrae
- b. sed hi duo denominatores sper constantes
- ix itatu abre qurote utu sestaorm
- identicae, nam aequatio
- Nempen
- asiore
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 30r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0059?run=74