FREE BOOKS

Author's List




PREV.   NEXT  
|<   345   346   347   348   349   350   351   352   353   354   355   356   357   358   359   360   361   362   363   364   365   366   367   368   >>  
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
PREV.   NEXT  
|<   345   346   347   348   349   350   351   352   353   354   355   356   357   358   359   360   361   362   363   364   365   366   367   368   >>  



Top keywords:

dodecahedron

 
professor
 
solids
 

philology

 
twelve
 
ordinary
 

geometrical

 

Erlangen

 

Berlin

 

dodecahedra


regular

 

important

 
portico
 

Doderlein

 
temple
 

theology

 

stellated

 
crystal
 

POLYHEDRON

 

dodeka


education

 

preliminary

 

receiving

 

Ludwig

 

Schulpforta

 
Heidelberg
 

Munich

 

Pforta

 
studied
 

Windsheim


varied

 

learning

 

celebrated

 

geometry

 
Johann
 

Christoph

 

enclosed

 

eloquence

 

preacher

 
movement

devoted
 
strict
 

transition

 

guiding

 

influence

 

exerted

 

orthodoxy

 

attention

 
academy
 

appointment