Leibniz-Handschriften zur Mathematik LH 35, 3 B 20, fol. 8v
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. 7r); this page is its left half.
The machine reads it as
- primi in secundum dimidiatum
- id est ductu
- quantitatis X ist in a quantitatem
- Xy, fit area. Jam X-y, fit ex his duabe
- quantitatibus X- y et X+y in se invicem
- ductis, et XY fit ex his duabus X. y.
- Ergo area trianguli rectanguli fit ex
- his quatuor quantitatibus in se invicem
- ductis:
- X - y.
- X
- X+
- sed ex his quatuor quantitatibus non potest
- produci quadratus per prop. praeced. Ergo
- nec area trianguli rectanguli in numeris
- potest esse quadratus. Quod
- Scholivn
- operae pretium est adjicere analysin. Ex qu
- Area Trianguli ectanguli in numeris, analytice
- exp. essa est: Xy - XY; aquanda quadinto.
- ponemy loco X, fiet
- m V my aequanda quadrato. Ergo et m-m
- aequanda quadrato. Quod impossibile esse analytico
- as
- huc
- statim primo obtutu patet. Artificium analyseos in
- lo consistit, ut literas plures revocams ad urtum
- atuem revocemus quantum licet ad pauciores. Nam
- re ad unum literatu reducta sempe aut solvere pro
- blema possumus aut ostendere impossibilitatem
- Eodem modo demonstratur M+ + 1 non posse
- aequari quadrato Ergo nec X2 41 Ergo nec X+
- aliaque innumera, uno generaliter summa
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 B 20, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068269:0016?run=74