Leonhard Euler · 1744 · Internet Archive

Methodus inveniendi lineas curvas

Transcription

110 DE METHODO MAX. ET MIN. $d. Z'' dx = nv.dx.L'''dx([L'][p'] - \frac{[q]d[L'] + 2[L']d[q]}{dx} + [N'] - \frac{d[P']}{dx} + \frac{dd[Q']}{dx^2})$ $d. Z''' dx = nv.dx L''''dx([L'']dx([n''] - \frac{d[p']}{dx} + \frac{dd[q]}{dx^2}) + [L'][p'] - \frac{[q]d[L] + 2[L]d[q]}{dx} + [N] - \frac{d[P]}{dx} + \frac{dd[Q]}{dx^2})$ $d.Z''''dx = nv.dx.L'''''dx((([L''']dx+[L'']dx)([n''] - \frac{d[p']}{dx} + \frac{dd[q]}{dx^2}) + [L'][p'] - \frac{[q]d[L'] + 2[L']d[q]}{dx} + [N'] - \frac{d[P']}{dx} + \frac{dd[Q']}{dx^2}))$ $d.Z'''''dx = nv.dx.L''''''dx((([L'''']dx+[L''']dx+[L' [TRUNCATED]

confidence 0.31 3 expressions source scan at the Internet Archive

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