Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 243r
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: 0.82.
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The machine reads it as
- Jam quia Y = ax. hnic auferatur addatur
- p latus curvae parabolice ad Contirasm
- relatie axemrelatae
- 2Z = X. seu 2y = X. Ergo differentiae Applicataram hicinci
- a
- sunt Triangulo Homogenea. Eaum quadratum
- a - 1. fiet V4Y + a latus ejusdem curvae
- a
- a ad basn relatae
- ponatur ea differentia esse: E= W erii ejus
- a
- addatur a, fiet, s2ga-G Ercae ergo vsus spicatam circuli. Confrmad
- paulo aute demonstrator a
- a
- fet jan
- Contra Y +3Y+
- a
- 2
- Ergo.
- parabolic
- parabilicae,
- addatur
- s
- a
- eli.
- ya
- a
- vide pau. .
- monis.
- Ia forte ago Curva Parab,
- aequalter divisa per per
- a basi secta videtur, circulo
- ab axe secta Hyperbolae
- sgntomos. Quod foret
- maximi momenti est enor
- vax sax paxta- tax.
- =y. Ergo. y= ae+a+gX-
- a
- a
- ax + a + aX - 2Va X + aX
- Ergo 2aX + a - 7 =, a X + aX
- ambobus quadratis.
- ~ a
- ak a 17+ a 27 et
- N
- C
- a a
- tax +tax. Ergo
- V
- et
- a
- -a723 +3 = 4a X +4aX
- a
- a
- Et rejectis nimis parvis, fit: e
- ul
- 1X + X = 0. enZ L
- a
- a
- eu 4y = X. seu 4y = aX.
- In y = ax. Unde sequitur diffe
- a
- parexa
- rentras applicataram hyperbolae ad axem
- esse ipsismet dindiatis homogeneas quae
- est intmorabilis proprietas ad Tangentesa
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 243r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0487?run=74