Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 8r
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: 0.88.
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The machine reads it as
- Lex Homogeneorum in Carculo
- efit ilti Analysi infiniti
- sit ordinaria quantitas V, repraesentans (si
- placet) rectam, quanquam sub ea etiam
- tempus aut velocitatem aut quidvis aliud
- ascendendo
- intelligere liceat. Habemus dinde infini
- tam, infinities infinitam infinities infini–
- teries infinitam et ita porro. Rursus
- ab ordinaria descendendo habemus infinitesim
- infinitesimae infinitesimam infinitesimae ab
- infinitesima infinetisam et ita porro.
- dddx) dox ( ax ) X) saSXS
- 2
- X
- X
- ut in vulgari Lege Homogeneorum
- X
- _ IX) X
- X3 X
- Expenentes qradus tam in valgari quam iu Transcen.
- dem ne nomogene
- =21 e
- rum ptum
- seu
- 3
- X IX IX IX) X 1X
- Arithmes
- Ut vero expolientes graduum sunt progressionio qc
- metricae in vulgari lege, ita et in nostra nova Transcendet
- Nam X dox et dx sunt p homogenea; quia
- d Xdx = X ddx + dx. ergo cum ipsius X exponens
- sit unitas si ipsius ax exponens sit e, utique patet
- et ipsius dex sit f, siet C+1 = 2C
- 6
- fieri
- eodemue modo Ex ddax et ddx sunt homogenea, adeoque
- expositarum Affectionum exponentes sunt progressionis
- Aritumeticae. Porro quemadmodum differentia.
- progrossimus
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068104:0015?run=73