Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 20r
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: 0.85.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 19v); this page is its right half.
The machine reads it as
- Hinc patit talia omnia seduli ad quadratunam Hyper
- bilae et logarithinos, si absolute haberi nequeant nam
- dx
- ese logarithums ipsius bc Xfb, et sicotrte
- X+b
- Cdx
- et similiter
- est lugarithmus ipsius. X+c.
- xtc
- pergamus jam ad PX dx
- Ccompendii causa
- , quae fam utemurque
- Apotius quam articuli 1., X+b, X+C, X1d
- methodo articuli 4 (proque hac summa scribemus (X x ponendo
- be x1b, xtC cum ergoS
- = m
- X +
- V xta
- reducatur ad (Odx
- et ad
- rie dx reduci ad
- S Xtb, XtC, Xtd
- Xtb, XtC, Xtd
- jam est reducta Per artic. 10. prd ad. (ax
- Ergo
- Xdx
- reduximus ad ax
- X+b, XAC, X+d
- 12) Sed cum pari jure possit
- ad
- dx
- X +
- O ex et similibus per artic. 3. hinc fiet
- e-1
- una cum d
- patet
- Oax
- ax
- et ad -
- xtC
- Xtb
- xib, XtC, Xtd
- edx
- e
- dx
- x1b, XtC, Xtd
- SXib, XtC
- et ad
- et ad (dx
- X+b, XtC, X +d
- quae
- sax
- XtC
- , et
- xtb
- sax
- XtC
- reduci ads
- et (ax vel aliter combinando
- habebitur ipsiue
- xtd C
- hinc duos valores aequando inter se
- (Xdo
- Oxib, XICXId
- aequando inter se ad secundum modum articuliusro habebitur
- Cax
- Cdx
- per
- Xtb
- dx, ex
- X+d
- fdx.
- X+C
- 13 et quidem ita ut b c, d observent legem justitiae inter se.
- X+b, XtC, Xtd
- valar ipsius
- 13) Hinc tandem et (X dx
- reducta erit (per artic. I1 junct
- X+b, X+C, X+d
- artic. 12 ad imitationem articuli 10). ad
- (ax Cdx (dx
- Xtb 1 C X+d
- 14) Unde tandem methodus habetur quamcunque formulem
- hujusmodi, cujus numerator est potentia ipsius X, sed nominator est
- productus ex simplicibus, ut X+b, XtC, X+d etc. In se invicem ductis
- posse haberi saltem per Quad raturam Hyperborae seu Logarithmt
- habem
- et adedque
- Vix med elle ex
- ax
- seu
- re. dx
- X+b, XtC, Xtd etC
- ete adeque ad quadratur
- adeoque posse haberi saltem per quadraturam Hyperbolae seu Loga
- ib,xtC Xtd
- reduci ad
- rithnos. e nam (ax est ua iperis it sen grohmu e
- pax est logar. etC et ita porro
- Logarithmus ipsius Xb Xtb et
- aauentur inter sesut jam dicstur eo
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 20r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0039?run=73