Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 3v
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: 0.96.
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. 4r); this page is its left half.
The machine reads it as
- Scholium. Cnepiriantur figurae duae,
- ubi in priore progressus fit per lineam
- pertam f, et huic in directum adje-
- tam vertam a; regiessus autem (per
- punita designatus) ab extremo adjerta
- a, in eadem certa totali f+ a fit
- per pertam b; ita inorerta f+a re-
- manet e, adeoque est f+ a - b = + e.
- da posteriore progreesus fit ut ante,
- sed regressus in eadem ft a per ipam
- tertam d majorem quam ft a, et ex
- cedentem quantitate g. Unde talis
- progressus eet falsus sive putatitius,
- et qui sic progredi se putat, revera re-
- greesus eet quantitate seu mole g. Ef est fta - d = -9
- dtaque signum + desionat progreesum,
- Et quod
- signum - regrecsum, u inlineis, idem
- in aliis augmentis et derementis
- intelligi potest, velut in accepto et
- expenso.
- (25) Defin. Si sit a + b = f et sint ipso-
- rum a, b, fi quantitates pos itiva,
- dicetur f. Totum et a, b, dicen-
- tur parter. Odem que est, si sint
- plura, ut a + b+ c = f. Requiritur
- ivitur, ut quantitates sibi addi,
- adimive possint, simulque ut sint po-
- sitivae.
- (26) Defin. Minus eet, quad aequale est
- parti alterius nempe majoris verb. gr.
- sit f- a + b et g = a dicetur f
- majur, et g mrinus, et scribetur
- r g et gr f.
- Setolium. Caterum cautio in definitione
- totius et partis expressa, adeoque
- etiam
Cite
Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 3v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068010:0006?run=73