LBr. 56 · Bernoulli, Jac., fol. 19v
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: 0.84.
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. 16r); this page is its left half.
The machine reads it as
- Hinc Regula. Si Frartio differentialis talis sit, vel ad talem reduii possit, ut
- numerator sit rationalis, denominator radix eta differentia quantitatis co
- gnitae et potestatis in determinatae X, cujus index quadruplus sit indicis ejusdem,
- unitate auci in nume ratore, ent ejus integrale portio Curva Algebraica.
- 2.
- 3.
- Vat-x4
- at
- aadx; quia 4 = 0+1, 4 = - 2r, erit r = - 2, d yy + 22 = - a Syy - = XX
- sxt- a4
- adria
- quia adra -dx ubi 2 = - = +1, 4 = 2m, adeoque m = 1,
- Vaax-
- Vaax-X Vaa -XX
- erit yy +22 = 2a Syy -Z2 = 4ax.
- inc derivantur ea, que in Actis habentur de redlisiratione con
- stucetionae Bochronae ope Cemniscatae
- Vl. Constractio Elaslicae, ujus aequatio dus-x
- duia ( aade
- Vat X4
- est portio curvae Lemninate, ut ostensum; videatur num
- Vaaa
- aade+ax integrari possit, hoc modo:
- aadx aa xdeaax dx
- Va+ X+
- aax
- Vat
- (aa - +2, dx, cujus atum resolvitur in partes aa dx - dxus
- aa
- an
- 2xdxq, quarum radices de d odx, e harum integralia Xd
- na
- Vanx
- Viaa-x coordinatae Ellipus, cujus ra axis minor, e major rasi.
- Ergo cum s
- Caadx +xdo Caadx
- vaa Vat xa Vac
- erit applicata Ela
- Eticae aequalis excescui quo portio Elliplicae superat portionem
- Lemniccata
Cite
LBr. 56 · Bernoulli, Jac., fol. 19v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 148). https://leibnizlegible.com/page/DE-611-HS-958800:0038?run=148