Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 160v
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
- _ by - y T v - CD locus est ad circulum. ponantur B~ yp ~ petque
- sive CBB sue E 1, L, ponendo b pro C H valorer ejus ut et pro1, fiet Y B- c
- +C 1by - 5 17 v - cv + 5 vel SC + by - 5 4 B = C net + v- E
- b 4
- + by - y , v
- po e ponamus ob fetque - db + by - y ) v poratur in lo hanspmont bes YV ecto
- adatit
- ti pogams se celas 411
- ao crecestoque silgor
- +G=vt (5vet +b +Yd
- alcue. 512G vig 2.. A locqu ineociumt esse posse oiam ad Agriur
- V + f Unde patet pro Esignorum Varmnon
- dex (4) by + 3 HsCB unde Xic. rb (+) 9 + by + y Y Ft FBvF (+)XB , 6,
- dee
- Universalius:
- extrahendo radicem, fiet:
- nuel (1 +) b (5 +)y
- +b
- +(+)...
- C.n
- = CF) y
- .
- (+)....
- =...
- 1
- velue +C
- (+) 9 p
- -
- un (4) 1
- F Resecto jam a) B quocunque signo affectum sit, et quocunque etiam signo affectum sit
- (F)...
- quadrato, habebimus: +y
- FY unde patet aliquam ex ambignitatibus nempe
- E 4. (+) evanuisse, salva loci natura et aequationis gradu. potest a ferits. + y Y1.
- EF s= jam addatur utrolique +E, extractaque rdice habetumus c (7 +) v, ab uno latere,
- F et resecta (6 +) E cater et reliquis quadratis v +E +b f Unde rem nanfesum
- FE ∞ est ad simplicissimam expressionem esse reductam, duasque ambiguitates velut imitiles
- Delisas satisque ex illis quae restant judicari posse, quando locus est Hyperbola
- 2 aut El circulus. Nam si (3 +) e +, et 4 1 =, et c pIb, fiet V ( B - Y, et locus
- Sec. sst circulus. si (3 +) e = et c5) bd et + 5 + locus ilidem est circulus fit
- d. d DG enim = v2 1 d g + y
- Nimirum ut locus sit circulus et necesse est esse aequatione
- 3.d. (8 +) v sat) y. (. f.) g 10 comprendam cum hac Ergo (5 f BY Y + 5 + b, vellof) 11 + E+b
- enden hic (1 +) V +Y +C + 6 0
- idcu
- eandem
- junctisque his aequationibus inter se, patet esse + YI (3 F)
- Et ut quia (8 +)9 -E 148, erit (B +3 - + F, + t vel (8 +) +b +c
- fet ergo 4 u fs Unde d ponatur C p + bib 1) d fiet b-
- (8 +) 9 (1 + + c. cgi g - (8 +) + v ) c
- (8 + 19
- et (8 +) g 1 + Eo F) b, hab Et pro (8 ) substiluendo F
- e habebinus: Ergo g FI (8 +) c + b, et (8 +)9 F7 (84)1, (8+) C46
- Ergo fiett (8 F (8 + )y (8 +) - 1
- Vvja
- - b + (2) 4. ( = 3b
- 1+ L + C+812250
- aut 4L + +C71 + l
- et siet (8 +) g (+
- Ergo 8 X + y (81) 4- = 0 vel v +y + q+ 4 =0 Uo ut ipsam (8 4 polus
- eliminemus, ita agendu:
- verte
Cite
Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 160v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0322?run=44