Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 85ar
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: 0.71.
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The machine reads it as
- venit in mentem ut a quemque quadratis, non obstantibus
- maginariis, ut rru+arrus gri+ 4u aequanda quadrato.
- ut Xrul + V. Aiquanda quadmto faciamus vv L coeo + rm, fiet
- reul + rrmm + 2Yma + v. et faciendo U+mm- 0. fiet
- rH+ V = 2Ym ergo tantum opus est quadrato aequari
- 11
- 2YM + c0co. Quanquam alio difficuitates subdascantur
- rell +4rrys = gry +4.y aequandus quadrato ab lr + 2y + yco fiet
- uul +4rryg-gru +4y = Urr +qy + yycoco + 4lry + 2ly Co + 47Cd
- seu Arry -grus = y coco + 4lry + 2IrW +4 cdy
- sbet sbsc: 0
- X sct dependent a SX yAx pendent a (xX. dy nam d. x y = XX dy + 2Xyax
- ergo
- C
- foca 4 fx sex dy+ ao X dx = Xy
- ergo y su ald reducitur ad
- S
- xra dy
- seu Y g. redicitur seu (Vy
- 0
- qs
- e
- Sdy (xy du + 2(yex de =
- Ergo
- nd
- y y. + a dy + 2es
- X y.
- sie
- V: + a 1. dy =
- y
- + a1
- atque ita irrationalis esta revocata ad illam rationalem
- erg
- Xdx = 1 2
- +1
- sit X = fy. fiet Si vy dy: sy seu =
- LVyet Cseu (syedu = 2 Vye
- e
- sitaes
- YXtaE ax =
- eu dy + SE ex = 1
- scur
- 2 Yxt
- d Xy = X dy +2Xy dx. et dxy = x dy + y dx
- V
- .2
- d=
- X dy: 2 sy + sy dx: 2Ux = ddxy seu 2TXy = - X: y dy +
- 1) dy =
- 42
- Vy: X ax
- sit y = sZ fet. SX: y dy = = YX dZ. ergo X aZ + YZ: x ax = 2X ( Z
Cite
Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 85ar. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0171?run=73