Leibniz-Handschriften zur Mathematik LH 35, 3 B 20, fol. 7v
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: 0.83.
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. 8r); this page is its left half.
The machine reads it as
- 20D. II
- ecelavum factum extribus numeris
- unitate differentibus non potest ess
- quadratus,
- Nam isti tres numeri sae exprimi possunt.
- M= 1. M.
- M+ 1.
- jam
- factum ex his est MZ m. quod non potest
- esse quadratus. per prop. 1.
- Prop. III. factum ex quatuor numeris
- quorum tres sint progressionis arithmeticae
- quartus sit rumddifferentia progres
- sionis non potest esse quadratus.
- ii sint quatuor numeri
- V X- y. X+ y
- ex quibus tres posteriores sunt progressionis Ari
- thmeticae, primus vero est differentia
- pujus progressionis ajo factum ex ipsis
- quatuorn se invicem ductis non posse esse
- quadeatum.
- Hoc ita probo. Ostendemque
- in se itvice puductos non posse producere
- l
- e
- prop. 2. hos tres non posse quadratum:
- X - 1.
- 2.
- 4
- Ergo nec si productum si ductus factus ex
- nam differunt dunitate.
- his tribus ducatur in facta quartum 2 seu
- unitatem quia multiplicare per unitatem
- nil mutat. Ergo factus ex his quatuor
- e
- 3-
- X
- + non
- non potet esse quadratus.
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 B 20, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068269:0014?run=74