6820 



Stereometry. Regular Polyhedra 



6820 



Pyramids, sum of solid angles. Leuenstern, 

 J. R. von. [1849] Haidinger Ab. 3 (1850) 

 (Ab. 2) 87-. 



, theorem. Catalan, E. C. N. A. Mth. 6 

 (1847) 353-. 



Regular Polyhedra. 



Legendre, A.M., & Mains, . Par. S. Phlm. 



Bll. 2 (1811) 325-. 

 Lhuilier, S. Gergonne A. Mth. 3 (1812-13) 



233-. 

 Gamier, J. G. Quetelet Cor. Mth. 1 (1825) 



39-, 64-. 



Gilbert, D. Ph. Mg. 3 (1828) 161-. 

 Fischer, . Grunert Arch. 11 (1848) 159-. 

 Bertrand, J. C. E. 46 (1858) 79-. 

 Steichen, . Brux. Mm. Cour. 8, 9 (1859) 



32pp. 



Bjorling, E. G. Ts. Mt. Fys. 3 (1870) 145-. 

 Cayley, A. QJ. Mth. 15 (1878) 127-. 

 Azzarelli, M. Bm. N. Line. Mm. 4 (1888) 123-. 

 Steggall, . Edinb. Mth. S. P. 7 (1889) 66. 

 Fiedler, W. Ziir. Vjschr. 35 (1890) 343-. 

 Angles between faces, and volumes. Verdam, 



G. J. Groningen A. Ac. (1822-23) 79 pp. 

 Conjugate polyhedra. Dostor, G. [1877] 



Arch. Mth. Ps. 62 (1878) 285-. 

 Construction on one face. Krinicyn, P. K. 



Kazan S. Ps.-Mth. Bll. 1 (1891) (Prot.) 68. 



of the 5 regular solids. Sohncke, L. A. 

 Arch. Mth. Ps. 47 (1867) 39-. 



Convex polyhedra, new properties. Dostor, G. 



Arch. Mth. Ps. 59 (1876) 50-. 

 Group theory. Schoute, P. H. N. Arch. 



Wisk. 20 (1893) 100-. 

 In- and circum-spheres, radii. Sommer, B. 



Grunert Arch. 32 (1859) 289-. 

 Maxima. Babinet, J. C. B. 61 (1865) 827-, 



973. 

 Mensuration. Zbikovskij, A. K. Kazan S. 



Nt. (Ps.-Mth.) P. 4 (1886) 80-. 

 Properties. Cauchy,A.L. C. E. 26 (1848) 517-. 



analogous to Stewart's of regular polygons. 

 Jeffery, H. M. [1882] E. S. P. 34 (1883) 105-. 



Property. Todhunter, I. Mess. Mth. 3 (1866) 



142-. 

 Eegular polyhedra obtained by folding paper. 



Wiener, . Z. Nw. 61 (1888) 631-. 

 Eelations between angles. Drach, S. M. Mess. 



Mth. 3 (1874) 6. 

 Space configurations, derivable. Fries, J. de. 



Wien Ak. Sb. 100 (1891) (Ab. la) 822-. 

 Sphere, property of, and regular polyhedra. 



Lhuilier, S. Bb. Un. 36 (1827) 260-. 

 Ten polyhedra, table of principal elements. 



Barbier, E. C. E. 101 (1885) 562-. 

 Theorems. Mollame, V. G. Mt. 9 (1871) 64-. 

 . Akerlund,J. R. N. Ts. Mth. 9 (A) (1898) 1-. 

 6-hedra, cube, division into 4 equal parts. 



Willich, C. M. C. E. 56 (1863) 100-. 

 , , partitions, etc. Willich, C. M. Ph. 



Mg. 33 (1867) 27-. 

 , Eonayne's cubes (one passing through the 



other). Hennessy, H. B. A. Ep. (1894) 



8-hedra, Levy's theorem. Davies, T. S. Tilloch 

 Ph. Mg. 67 (1826) 52-. 



9-hedra, 9-acral, enumeration and construction. 



Kirkman, T. P. Lpool. Lt. Ph. S. P. 32 



(1878) 177-. 

 12-hedra, description. Barbier, E. C. E. 95 



(1882) 560-. 

 , janal. Kirkman, T. P. Lpool. Lt. Ph. S. 



P. 29 (1875) 251-. 

 14-hedra, janal, 14-acral. Kirkman, T. P. 



Lpool. Lt. Ph. S. P. 30 (1876) 271-. 

 20-hedra, convex, sixteen nets of planes of. 



He'nard, E. C. E. 101 (1885) 232-. 

 , , . Barbier, E. C. E. 



101 (1885) 304-, 540. 



and star 12-hedra, construction and represen- 

 tation. Schonemann, P. [1872] Z. Mth. 

 Ps. 18 (1873) 387-. 



12-hedra. Wicke, C. Grunert Arch. 25 



(1855) 131-. 

 , relations in projections. Schubert, J. 



Z. Mth. Ps. 19 (1874) 460-. 

 , theorems. Akerlund, J. R. N. Ts. 



Mth. 8 (A) (1897) 17-. 



Eegular and semi-regular polyhedra. Babinet, 



J. C. E. 26 (1848) 530-. 

 Eepresentation. Kirkman, T. P. [1855] 



Phil. Trans. (1856) 413-. 



and enumeration. Kirkman, T. P. [1853] 

 Manch. Ph. S. Mm. 12 (1855) 47-. 



Ehomboidal bodies, especially rhomboidal tri- 



acontahedra. Rothe, H. A. Kastner Arch. 



Ntl. 4 (1825) 129-, 257-. 



Self -con jugate polygons and polyhedra. John- 

 son, A. R. QJ. Mth. 22 (1887) 158-. 

 Semi-regular polyhedra of Archimedes. Valat, 



. Bordeaux Mm. S. Sc. 5 (1867) 319-. 

 , etc., series complementary to. 



Valat, . Bordeaux Act. Ac. Sc. 28 (1866) 



385-. 

 , convex. Terrier, L. [1875] Neuch. S. 



Sc. Bll. 10 (1876) 201-. 

 , resume of theory. Catalan, E. C. As. 



Fr. C. E. 1 (1872) 147-. 

 , some. Hayicard, R. B. [1897] Mth. 



Gz. 1 (1900) 73-. 

 with 6 squares and 8 triangles as faces or 



12 pentagons and 20 triangles. Wezel, L. 



Louvain A. Ac. 6 (1826) 60 pp. 

 Seven-point polyhedron, theorem. Anon. 



(vi 310) Crelle J. 3 (1828) 199-. 

 Similitude of solid figures. Dcllac, H. Mars. 



Fac. Sc. A. 9 (1899) Fasc. 1, 108pp. 

 Star polygons and polyhedra. Poinsot, L. 



N. A. Mth. 8 (1849) 68-, 132-. 

 (Poinsot). Dienger, J. Grunert 



Arch. 13 (1849) 434-. 



polyhedra. Cauchy, A. L. N. A. Mth. 8 

 (1849) 304-. 



(Poinsot). Cayley, A. Ph. Mg. 17 (1859) 



123-, 209-. 



. Valat, . As. Fr. C. E. 1 (1872) 155. 



, regular. Wiener, C. Z. Mth. Ps. 12 



(1867) 174-. 



, , general properties. Dostor, G. 

 Liouv. J. Mth. 5 (1879) 209-. 



, , three spheres of. Dostor, G. [1877] 



Arch. Mth. Ps. 62 (1878) 78-. 



454 



