[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [48]v
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: 0.86.
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The machine reads it as
- sif + d - b
- ducenda in +f -
- -cd.
- +df - bf
- Ponatur d aequ:
- generaliter
- jolesse F aequ. + bc.
- Demonstratio:
- e + X. posito b aequ. X. et e existente
- excessu ipsius d supra X seu supra b. ergo d - b idem erit
- quod _, vel idem quod + C + X - b, (vel idem quod e.) Ergo
- d - b in f-c idem erit quod g e in f c. seu idem
- erit quod Cf = ec. rursus d b in f- C idem erit quod
- t e + X b in 4 f -E Ergumenis
- ef eC aqu. +df - cd - b
- seu ef ec idem erit quo
- e + X b
- C
- C
- Jam
- e + X - b in f - C, ideni erit quod in f- c.
- in f -c est ef - ce. et X - b in f - C. sPosito scil. hic X aequ. b)
- Se
- b aequ. fX = cX - b f + bc per prOp. 1.
- Ergo colligendo e+ X - b in f -C. Aeud seu d - b in f- c erit.
- est
- C
- f - Ce, + fX - C X - bf + bc: At supra d - b in f - c
- erat aequ. d f = cd = bf
- aequando fiet: ef ce
- XO
- Ergo hos duos valores
- aequ df c0
- + SX C)+bC
- fiet.
- equando fic et tollendo utrobiqus = bf.
- e
- ef- ce + fx - CX + bc aequ. df - cd. O
- est autem ef + fx aequ. df. et - ce - CX aoqu- cd. quia daequ. etx
- i
- Ergo in aequatione priori
- tollantur
- Ergo ef- ce + fX - CX aequ. df - cd.
- ef - ce + f X - CX + bc aequ. df - cd. O. Subla
- utrinque aequalibes restabit O aequ. + bc.
- Quod erat demonstrandum.
- propositio 22.
Cite
[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [48]v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00066634:0096?run=39