Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 389r
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: 0.73.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 390v); this page is its right half.
The machine reads it as
- quformulam quadrato aequandam indefinitam
- unius litere semper salva indeterminatione simplici augmento vel diminu-
- tione raticis eo possumus redigere ut careat termino ultimo
- sit ergo XX + bx aequanda quadrato, X yy xtb =
- x = gytrpGEPB X+b = (99, + 29y +99 = (2) (2p tpp +b (y9+ 2py +
- hoc non procedit, nam fieiet. q- p. unde foret b = 0 quod absurdum
- An sic = X = gyt ipy+pp, :, ytq X+b = yyt Ery+I, :, y+9, et fiei
- b sed ita recidimus in eandem etfret ny + 2ty +AP ∞ yy tEryerr, adeoque
- +by +bg
- 2Y = 2p + b et q- rr + seu r= p + b ergo q= (p)+t bP + L bb ( pP): b = pF L b
- et sint X = yy +EpyEPP, :, y+ p+ + b
- x+ b = yy + 2pus +pp + by +bp t = bb
- su X +b = gy + 2py + pP3: y+ p b quod succedit
- 9 + bp
- +4bb
- XFbXXFEx sit x - yy + ipy App, 35yYq radices X 4 Y x et X+ m, xrn
- X sit X = yy + 2py + pp B ipsius XX + bX + ce radices sunto X+ m, et X + N
- 3F Gy+ 299199
- sit X+m = gytarytrr et XAn = gy + 25y+rr. sed
- biscluendo
- sed ita subistituem
- 7+9
- G +2prry+r , ayyt 49y1
- Xt m = yy + 259+55, y+ t, : 49 +
- fit y +2py + errgy +
- eP yy R prry + p
- amyus +zamgy tamqque
- D.
- _t n = 7y + 2VG + WW, yrt, : 19 a1
- yt + 25 y3 +55 yy +55ty + 53tq 8B
- +a est.
- 559
- 4 ;, 259.. 25tg..
- ubi extunt 114 et tg
- idem pro in Eadem identificatio repetenda est pro m et 5, ponendo n et
- l+q= 2p- 25 19 Tr npptat
- tg = 2rr+pp + am 35_-45p + 455
- 255PC 153) + arus (+ 25pp) + 2sam. ( p + B 2 - 2 pertrama
- p = 5 + L + + esinejari B.
- 1tZ9
- stam5 t +Sq- am = l LF + L9 = Wt +WV9 - an
- squtus
- sed video tres pro id mali video quod sit sunt s aequationes _, et arbitrariaae
- sunt tantum sex. imd tit sul quod absund
- An sic x - yyairya pe, ytt, yt 4
- 4+5, ytW, 9r9
- Xtm = syt 2ByteB, yet xn- ytasvidR yt 4
- 3t5, 9+3 ytg2
- y1W. g
- ita prodeunt etiam B ubitrarie 98
- licebit habere plures, si pro osricumus y+ t, ytq scribamus Byt B dyat, aa ytq
- imo licebit adhuc ubique dividere ner + A,ag Et fient 9 mibitrariae
- An sic e vel sic ut ubi idem arbitrariarum rumerus
- nyne ytet
- 3td
- P7py+N
- byys tstg +sst
- 1 + 259y455y
- y 42y 43gy + s1ty
- Cy 2stgy
- 9y +29599 45sgy +sst0
- xinea
- Equu +utus)
- Ly9t43
- 1s. L yy p+
- (1y +5, ustlu, 3d
- xde-
- et
- X+m =
- 9+B2, yt h
- yt g pyrt.
- rin
- uaajytn
- 9rg A.yAt
- X+m.
- to
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 389r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0773?run=74