lines, cannot allow that the _spirit_ of his compositions is governed by
the exact and rigid formula; of the philosopher to any greater extent
or in any other manner than as the numbers of the poet are ruled by the
grammar of his language. These formulae may be applied as a curious test
to ascertain what strange sympathies there may be between such lines and
the vast organic harmonies of Nature and the Universe; but they do not
enter into the soul of their creation any more than the limitations of
counterpoint and rhythm laid their incubus on the lyre of Apollo. The
porches where Callicrates, Hermogenes, and Callimachus walked were
guarded by no such Cerberus as the disciples of Plato encountered at the
entrance of the groves of the Academy,--

"[Greek: Oudeis ageometraetos eisito],"

"Let no one ignorant of Geometry enter here";

but the divine Aphrodite welcomed all mankind to the tender teachings of
the Wild Acanthus, the Honeysuckle, and the Sea-Shell, and all the deep
utterances of boundless Beauty.

Truly, it is sad and dispiriting to the artist to find that all modern
aesthetical writings limit and straiten the free walks of highest
Art with strict laws deduced from rigid science, with mathematical
proportions and the formal restrictions of fixed lines and curves,
nicely adapted from the frigidities of Euclid. The line A B must equal
the line C D; somewhere in space must be found the centre or the focus
of every curve; and every angle must subtend a certain arc, to be easily
found on reference to the tables of the text-books. "The melancholy
days have come" for Art, when the meditative student finds his early
footsteps loud among these dry, withered, and sapless leaves, instead of