Ps. 2, fol. 134
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.
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The machine reads it as
- E L. YM Y F L B u S
- C A P u F VIII.
- De sEquationibus quatuor dimensionum, venultimo
- termino carentibus.
- Prop. L. Xt - l X3- L MM X ~ X = p+ ∞O.
- DEx transpolitionem est _t =l ∞ 3 ~ BF =MM X X. EIndecon.
- sat, si x CA aequalis ip(I l, etiam X X X quarI
- nm. hoc esto
- x ∞ ; ideoque sit aequalis est ipsi , hoc est, lm ∞pp, eritra-
- dix aequationis proposica aequalis sinsulis terminorum l de
- M : 8
- Si fuerine inaequales, unaquae que radicum aequationis propolitx,
- Tircunam, siretres habuerie, semper erit inter hos terminos; led
- si fuerint aequales, hoc est, Im ∞opP, _ IIm m ∞ p, Substituto
- Ummlocop in aequatione propolita, ea que diris a per X = l, CO.
- gnolcemus in hoc calu non haberi aliam radicem veram prae-
- cer l.
- Prop. 2. X4 lX3 = M WX X X = p+ ∞ O.
- Pereranspositionem est Xt =M M X X ∞ p+ = I x3. EIude CON
- 34
- stat, E1 suerie x ∞ m, etiam V C. aequariips x; ideoque si duo
- termini m de V C. sint aquales, erit radix aequationis aequalis
- Cingulishorum cerminorum; sin vero ina quales fuerint, cricilla
- necellario inter duos. Similiter per transpolitionem est x+-pax
- mmXX =I∞3. CInde discimuS, qudd Six aequalis es ipsi p, Tore
- Mm
- MM
- quoque eam aequalem ipsi: ideoque si cermini p XC =, X quaII
- tur, eric radix aequationis aequalis unicuique illorum; sed (in-
- x quales tuerint, eric illa necellario inter utro(que constituta.
- Prop. 3. X + - lX3 = MM X X X- p+ ∞ O.
- Per transpolitionem eAt N = =L X 3 ∞ m M X X L p+, ideoque
- ajOs
Cite
Ps. 2, fol. 134. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0158?run=74