Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 39r
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: 0.84.
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The machine reads it as
- 26 Xb7. 1678
- screda 1.
- XypX-y
- 13)
- 32y
- Trea Trianguli rectanguli
- in numeris non potest esse
- quadratus.
- x-1. Ergo y= Z pZy. posito 7+y aequ. X
- et positus Xypcy
- Latera Trianguli rectanguli in numeris
- sunt.
- Xyp Xy. Ergu ZY p1 . Z
- 32 2ty, 3+2y
- area ergo est
- 2
- egi X - y. 2XV
- X+ y2
- latera circa rectum
- Hypotenusa
- abc, Imn. abclmn, abcaremd = X V. seu: X, y, X~y, X +y.
- ajo hanc aream non posse aequari numero
- quadrato. Nam dividi potest per X. et
- prot ita residuum per .
- verte
- Nam duo exquatuos ejus factoribus enempe
- de. V. Omnes enus divisorci (nempe sin
- qualuo uadisi X,=LCy) hebent
- esse Congmensurabit
- alsum
- ergo et commensuranles esse debent inter
- e. sit eorum commen maxima communis
- c
- mensura 3. et prox scribamus e
- pro vero 2n
- ex
- fiet area productur
- 4Z, VZ, X.y, Xty (nam in
- caeteris explicare X et y nihil est necesse
- ad nostram demonstrationem) Seu
- productum ex eeXe
- - 2
- t
- s
- Ve
- aequalu quadrato ergo etiam divisendo
- per 52
- quadratum, quotnens, nmpe
- F1X, X-y, X+y, quadrato aequabitur,
- itaque duo factores 4v. debent exx
- Commensurabiles inter se quia radici
- squadrafi. Sed absurdum test eos e
- comnensurabiles esse, quia prodieree
- X, y dibisis per maximam commun
- es
- mensuramt. itaque impossibiles est Hypolss
- la
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 39r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0079?run=74