guerre_.
DODECAHEDRON (Gr. [Greek: dodeka], twelve, and [Greek: hedra], a face or
base), in geometry, a solid enclosed by twelve plane faces. The
"ordinary dodecahedron" is one of the Platonic solids (see POLYHEDRON).
The Greeks discovered that if a line be divided in extreme and mean
proportion, then the whole line and the greater segment are the lengths
of the edge of a cube and dodecahedron inscriptible in the same sphere.
The "small stellated dodecahedron," the "great dodecahedron" and the
"great stellated dodecahedron" are Kepler-Poinsot solids; and the
"truncated" and "snub dodecahedra" are Archimedean solids (see
POLYHEDRON). In crystallography, the regular or ordinary dodecahedron is
an impossible form since the faces cut the axes in irrational ratios;
the "pentagonal dodecahedron" of crystallographers has irregular
pentagons for faces, while the geometrical solid, on the other hand, has
regular ones. The "rhombic dodecahedron," one of the geometrical
semiregular solids, is an important crystal form. Many other dodecahedra
exist as crystal forms, for which see CRYSTALLOGRAPHY.
DODECASTYLE (Gr. [Greek: dodeka], twelve, and [Greek: stylos], column),
the architectural term given to a temple where the portico has twelve
columns in front, as in the portico added to the temple of Demeter at
Eleusis, designed by Philo, the architect of the arsenal at the
Peiraeus.
DODERLEIN, JOHANN CHRISTOPH WILHELM LUDWIG (1791-1863), German
philologist, was born at Jena on the 19th of December 1791. His father,
Johann Christoph Doderlein, professor of theology at Jena, was
celebrated for his varied learning, for his eloquence as a preacher, and
for the important influence he exerted in guiding the transition
movement from strict orthodoxy to a freer theology. Ludwig Doderlein,
after receiving his preliminary education at Windsheim and Schulpforta
(Pforta), studied at Munich, Heidelberg, Erlangen and Berlin. He devoted
his chief attention to philology under the instruction of such men as F.
Thiersch, G. F. Creuzer, J. H. Voss, F. A. Wolf, August Bockh and P. K.
Buttmann. In 1815, soon after completing his studies at Berlin, he
accepted the appointment of ordinary professor of philology in the
academy of Bern. In 1819 he was transferred to Erlangen, where he became
second professor of philology in the university and rector of the
gymnasium. In 1827 he became first professor of philology and rhetoric
and director
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