LBr. 57, 2 · Bernoulli, Joh., fol. 215v
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: 0.86.
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. 216r); this page is its left half.
The machine reads it as
- constabit (assumtis AL pro +1. et aL pro-1) fo LM, LNY
- fore logarithmos numeroruam tam regativorum MB, N9 der.
- quam affirmativorum AB, NCH. Hoc vero comode ostendi
- potett, si caspiciamus modum aliguem generandi logarita
- micam, es cujus generationis contianatione palebit duplicilas
- sujus curvao super comani osyurloro: Consideremus ia numc finea
- Hyperbolam PEG cum oppo
- sita pgqu super asyuto–
- Lic cethogonalibus RV,
- OX se mutuo secantibus
- in T; ascumta ad arbi
- trum applicata PR pro
- prima elcavariabili, ext
- iagulis reliquis punclit
- S, E, F5, CK. tam supra quam
- cafra aspentolon ox eduitae intelligaa
- tur applicala
- unantum
- L, EG, 59, eg . et
- in illis abstindantur partes SF. Es; propor
- fionales areis hyperbolicis RSZ
- F
- 1
- REGD hoc est ut SFCF
- 1
- sit = area SD, et EHx C = area EP; unde manifectum est curvan
- ex inde generatatu RF te fore cogarithicam, attendamus nunc
- ad exus generationem eumque continuemus quoncque possumns: 1. cla
- man est quo major suaitur Ro taato majorem fore SF, donec tai
- deu S’attingente T, areaque per consequens ayperbolica 7 P evadente
- infiaita, etiam applicata s0 in quam abit SF fiat infiorita,
- adeoque logarithuica osymiotos: sed pergat auac punitum 5 pro
- gredi (quid enim hoc impedit?) atque jam pervenerit in e; vides
- anac aream hyperbolicat ipsi Re competiatem esse partim affin
- Es
- adevis
- FP Fg = (facta TE = Te) EF; et ipsam opplicalata eh = EH
- et similiter ubi puntum mobile progrediendo pervenevit ad; ita
- ut 75= 75, fiet applicata 5f- SF: unde nova logaritharica
- sfr oritur qua cumprion RFH( unam tantum curvam
- conplituit aeupe RF HOhfV, simti dua ayperbola ospositae
- P2G et pusus unam tantum efficiunt curvam rempe PQGOXgqp:
- nam uterqu namut RFK et hfr generantur eadem lege ejusque
- corrtianatione, ita ut quenudmodum simo cretuat opplicata
- EF, EH in infiaitamm 1B, portea eodem pitu abintinita F O iteruam
Cite
LBr. 57, 2 · Bernoulli, Joh., fol. 215v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3653099:0430?run=74