Leibniz-Handschriften zur Mathematik LH 35, 4, 15, fol. 1v
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: 0.95.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half.
The machine reads it as
- munifestum est tres numeralores fore
- tria latera homologa alterius trianguur
- similis in integris; et arcam trianguli
- n
- rectanguli in fractis per quadratum
- illis
- communis denominatoris ductam dare
- aream trianguli homologi in intigris
- per prop. 1. Ergo ut ante, si hec
- quae si quadratus esse non potest,
- neque id, quo in quadratum ducto ipsa
- producitur; nempe area triangule
- in fractis, quadratus esse poterit.
- Prop. TII. Si in Triangulo rectangulo
- uit duo latera quaelibet
- habeant communem mensuram, tertium
- habebit eandem communem mensuram.
- Est enim tertium nihil aliud quam latus
- summae vel differentiae qvadratorum
- a duobus reliquis. Jam et hypothesi
- duo ista reliqua latera habent communem
- mensuram, ergo et quadratoum eorum
- habent communem mensuram, nempe qua,
- dratum communis mensurae laterum. Ergo
- quadratorum ab ipsis summam vel differen-
- tiam metitur communis horum quadratirum
- mensura nempe quadratum communis men-
- sume laterum. Quod si ergo hoc quadra
- tum summam vel differentiam illanm
- metitur, etiam latus hujusmeos quadrati
- scilicet communis mensura duorum reliquorum
- laterum) latus summae illius vel differentiae
- metatur, id est
- metietur (latus Trianguli
- tertium) metietur.
- +(u.g. abc,
Cite
Leibniz-Handschriften zur Mathematik LH 35, 4, 15, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068319:0002?run=74