Leibniz-Handschriften zur Mathematik LH 35, 1, 13, fol. 20r
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: 0.94.
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The machine reads it as
- Recta idem est quod sectio plani
- utrinque se habens eodem mqdetam
- si ponatur planum soctum
- Corollat. itaque datom secto plano
- segmenta) M, N, sumaturque an
- n rectem transeunte per puncta A,
- sumtoque in segmenta M rectaC
- punet segmentro alterutro M, punctum
- eadem recta duo puncta AetB
- et in segmento M, d purcta
- e punctum C necesse est
- in altero segmento Nt reperiri
- punctum 1 semanturque in eadem
- recta puncta quel unum se plura
- velt es quot labet, A, B, C; et 1n
- alteratio segmento velut M grodiam
- sumatur pudctamE extra
- reperim
- necesse est in altero segmento N
- punctum F eodem modo situm ad puncta
- assumta, A, B, C; ut E. adeoque re ad
- congruentias reducta erit AE~AF, et
- BF et C. E ~ CIF et componendo
- A. BC E ~ A. B. C. F et si recta vocetur Y
- DE
- erit Y. E = P. F, et pro loco Y sumendo
- quotcunque punctum Y. E ~ Y. F et in uni-
- eps
- versum Y. M ~ Y. N. Et Su, V. M existit
- idem est
- lopod N, sic ut sit N. Y ~ M. Y.
- si invertas M et N permutenus.
- Elgora itaque nullum punctum
- extra rectam, est sui ad rectam esitus unicum
- item nullum punctum es extra rectam
- est sui ad duo in recta sumta puncta situs nicum
- et nullum punctum
Cite
Leibniz-Handschriften zur Mathematik LH 35, 1, 13, fol. 20r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067974:0039?run=39