sume più l'ufficio di scenografia ma è connesso con le forme cosi strettamente da annullarsi come valore individuo. Le tele di S. Luigi dei Francesi, di S. Maria del Popolo, e quella raffigurante la Mo
\[\begin{align*}\begin{array}{l}\displaystyle \frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{v}) = 0,\\\displaystyle \frac{\partial \mathbf{v}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{v}) - \nabla p = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{p}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{v} + \mathbf{p} \mathbf{I}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{M}) = \mathbf{d},\\\displaystyle \frac{\partial \mathbf{N}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{N}) = \mathbf{e},\\\displaystyle \frac{\partial \mathbf{O}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{O}) = \mathbf{f},\\\displaystyle \frac{\partial \mathbf{P}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{P}) = \mathbf{g},\\\displaystyle \frac{\partial \mathbf{Q}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Q}) = \mathbf{h},\\\displaystyle \frac{\partial \mathbf{R}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{R}) = \mathbf{i},\\\displaystyle \frac{\partial \mathbf{S}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{S}) = \mathbf{j},\\\displaystyle \frac{\partial \mathbf{T}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{T}) = \mathbf{k},\\\displaystyle \frac{\partial \mathbf{U}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{U}) = \mathbf{l},\\\displaystyle \frac{\partial \mathbf{V}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{V}) = \mathbf{m},\\\displaystyle \frac{\partial \mathbf{W}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{W}) = \mathbf{n},\\\displaystyle \frac{\partial \mathbf{X}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{X}) = \mathbf{o},\\\displaystyle \frac{\partial \mathbf{Y}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Y}) = \mathbf{p},\\\displaystyle \frac{\partial \mathbf{Z}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{Z}) = \mathbf{q},\\\displaystyle \frac{\partial \mathbf{A}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{A}) = \mathbf{r},\\\displaystyle \frac{\partial \mathbf{B}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{B}) = \mathbf{s},\\\displaystyle \frac{\partial \mathbf{C}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{C}) = \mathbf{t},\\\displaystyle \frac{\partial \mathbf{D}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{D}) = \mathbf{u},\\\displaystyle \frac{\partial \mathbf{E}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{E}) = \mathbf{v},\\\displaystyle \frac{\partial \mathbf{F}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{F}) = \mathbf{w},\\\displaystyle \frac{\partial \mathbf{G}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{G}) = \mathbf{x},\\\displaystyle \frac{\partial \mathbf{H}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{H}) = \mathbf{y},\\\displaystyle \frac{\partial \mathbf{I}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{I}) = \mathbf{z},\\\displaystyle \frac{\partial \mathbf{J}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{J}) = \mathbf{a},\\\displaystyle \frac{\partial \mathbf{K}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{K}) = \mathbf{b},\\\displaystyle \frac{\partial \mathbf{L}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \otimes \mathbf{L}) = \mathbf{c},\\\displaystyle \frac{\partial \mathbf{M}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \
m. ivi il 30 sett. 1612. Suo bisavolo fu Ambrogio B., scultore milanese che prese dimora ad Urbino sotto Federico di Montefeltro. Indirizzato al disegno dal padre, si mise con Giambattista Franco, pittore veneziano chiamato dal duca Guidobaldo ad affrescare la volta del coro del vescovato, il quale volle che il B. si desse intensamente allo studio dell'antico. Poi si trasferì a Pesaro, presso il pittore e architetto Bartolomeo Genga. A vent'anni, incitato dall'esempio del suo grande contrarreo Raffaello, andò a Roma, dove si ebbe le lodi di Giovanni da Udine e di Michelangelo. Tornò poi ad Urbino e vi rimase alcuni anni; nel qual tempo, essendo giunto colà un pittore con alcuni pezzi di cartone e teste a pastello del Correggio, egli fu tutto preso da quella maniera che tanto corrispondeva alla sua inclinazione. Tornato a Roma nel 1560, lavorò qui alle sue opere più note, cominciando dalle decorazioni nella Casina di Pio IV nei giardini vaticani.
Il B. dipinse quasi sempre soggetti sacri: in Roma, l'Ultima cena in S. Maria sopra Minerva, la Presentazione di Maria e la Visitazione alla Chiesa Nuova, l'Annunciazione (già a Loreto), il Riposo in Egitto (già a Perugia), la B. Michelina (già a Pesaro) nella pinacoteca Vaticana; a Perugia la Deposizione dalla Croce nel duomo; a Firenze, la Madonna del popolo nella galleria degli Uffizi, dove è pure l'Autoritratto e il Ritratto di Francesco Maria II della Rovere; a Milano, il martirio di S. Vitale a Bern (già a Ravenna), ad Urbino, L'ultima cena e il S. Sebastiano nel duomo. Tra le poche opere profane è da ricordare, oltre la serie di ritratti, l'Enca che fugge da Troia della galleria Borghese, dipinto per Rodolfo II e replicato per il card. della Rovere.
Per lo Schmarsow il B. è il fondatore del barocco,
Barocci, Federico - La Circoncisione - Parigi, museo del Louvre.
e, meglio definito, pittore essenzialmente correggesco, che, come il Correggio, del barocco anticipò vari aspetti e movenze caratteristiche. Dal Correggio derivò anche, portandolo sino alla sdolcinatezza, l'amore per la grazia e la delicatezza delle forme. Fu amantissimo e osservantissimo del vero, onde il gran numero dei suoi disegni. Per le figure si serviva di modelli plastici in cera, sui quali studiava il panneggio. Curò assai l'accordo dei colori, si da chiamare musica la pittura. Spesso per sfumare, invece del pennello, adoperava il pollice, e alterava le tinte con cinabri e azzurri nei cartoni, giungendo a sfumature eccessive.
L'arte del B. influenzò il Rubens, il Van Dyck e il Murillo.
Bunel: G. P. Bellori, Le vite ecc. Roma 1672, pp. 169-166; R. Soprintendenza alle Gallerie e Musei della Toscana, Mostra dei cartoni e disegni di F. B. (Catalogo, con note alla Vita del Bellori), Bergamo 1913; C. Ricci, s. V. ENOCH. Ital., VI, pp. 216-18 (con la bibl. prec.); G. Granau, Documenti artistici urbani, Firenze s. d. (v. indice); H. R. Weihrauch, Einige unbekannte italienische Handzeichnungen in der Graphischen Sammlung zu München, in Münchner Jahrbuch der bildenden Kunst, 12 (1937-38, 11); A. Petrucci, I fondi persi del B., in Prima, 4 (1943, VII), pp. 135-36; W. R. Valentiner, Two Child Portraits by F. B., in Bulletin of the Detroit Institutes of Art, 24 (1944-45, 11).