6820 



Stereometry. Tetrahedra 



6820 



Surface area. Grunert, J, A. Arch. Mth. Ps. Maximum tetrahedron with faces of given area. 



53 (1871) 482-. Painvin, L. N. A. Mth. 1 (1862) 267-, 



Surfaces, fundamental theorem, new proof, 353-, 414-. 



etc. Becker, J.C. Z. Mth. Ps. 19 (1874) 459-. . BorcMrdt, C. W. 



Symmetrical polyhedra. Bravais, A. Liouv. Berl. Ab. (1865) (Nth.) 1-. 



J. Mth. 14 (1849) 137-, 141-. . Le Besgue, V. A. C. 



, division. Miibius, A. F. (vi Adds.) 



Crelle J. 4 (1829) 296-. 

 Symmetry of non-Eulerian polyhedra. Jordan, 



C. Crelle J. 66 (1866) 86-. 



, inverse. Jordan, C. Crelle J. 

 68 (1868) 350-. 



in polyhedra. Cesdro,G. Brux. Mm. Cour. 

 4, 53 (1893-94) No. 4, 34 pp. 



Tetrahedra. 



L., J. (vi Adds.) Gergonne A. Mth. 1 (1810- 



11) 353-. 

 (Joachimsthal.) Liersemann, H. Grunert 



Arch. 32 (1859) 107-. 



Junghan, G. Grunert Arch. 34 (1860) 369-. 

 Torry, A. F. Mess. Mth. 1 (1862) 156-. 

 Cayley, A. Mess. Mth. 3 (1866) 8-. 

 Transon, A. N. A. Mth. 12 (1873) 519-. 

 Pellet, A. E. As. Fr. C. B. (1881) 170-. 

 Thieme, H. Z. Mth. Ps. 27 (1882) 56-. 

 Intrigila, C. Nap. Ed. 22 (1883) 69-. 

 Neuberg, J. Brux. Mm. Cour. 8, 37 (1886) 



No. 1, 72pp. 

 Strnad, A. Casopis 29 (1900) 146- ; Fschr. 



Mth. (1900) 506. 

 Angle, 6th, in terms of other five. Clausen, T. 



Crelle J. 8 (1832) 138-. 

 Application of symmetric functions. Reiss, M. 



Quetelet Cor. Mth. 10 (1838) 229-. 

 Cube in tetrahedron and square in triangle. 



Ferriot, . Gergonne A. Mth. 2 (1811-12) 



180-. 

 Desmic systems of three tetrahedra. Steplianos, 



C. Bll. Sc. Mth. As. 3 (1879) (Pt. 1) 



424-. 



tetrahedra. Caspary,F. Mth. A. 29 (1887) 

 581-. 



, construction of three. Schroeter,' H. 

 Crelle J. Mth. 109 (1892) 341-. 



Dihedral angles. Clausen, T. N. A. Mth. 5 



(1846) 374-. 

 Distance of summits from plane, theorem. 



Faure, H. N. A. Mth. 20 (1861) 222-. 

 Doubly homologous tetrahedra. Gallucci, G. 



[1898] G. Mt. 37 (1899) 1-. 

 Edges, opposite, inclination in terms of edges. 



Ferrers, N. J/. QJ. Mth. 3 (1860) 145-. 

 Equilateral tetrahedra. Hoppe, E. Arch. 



Mth. Ps. 12 (1894) 327-. 

 and orthocentric tetrahedra. Hoppe, R. 



Arch. Mth. Ps. 16 (1898) 257-, 333-. 

 Expression by coordinates of vertices. Baltzer, 



R. Leip. B. 22 (1870) 97-. 

 Geometric principle of resultants, application. 



Chelini, D. Bologna Ac. Sc. Mm. 7 (1867) 



79-. 

 Irregular tetrahedron, problems. Kuijper[s], T. 



Leijd. A. Ac. (1835-36) 32pp. 

 Locus problem. Maur, A. Grunert Arch. 



19 (1852) 121-. 



R. 66 (1868) 248-. 

 . Mertens, F. Crelle J. 



Mth. 83 (1877) 180-. 

 Minimum tetrahedra and sections of trihedra. 



Bermann, . Arch. Mth. Ps. 6 (1888) 76-, 



vn. 



theorem. Steiner, J. N. A. Mth. 12 

 (1853) 47-. 



Mobius's tetrahedra. Neuberg, J. Liege S. 



Sc. Mm. 11 (1885) No. 7, 14pp. 

 Nine point circle, analogues in space of three 



dimensions. Roberts, S. L. Mth. S. P. 19 



(1889) 152- . 

 Orthocentric tetrahedra. Longchamps, G. de. 



Mathesis 10 (1890) 49-, 77-. 

 with rational edges. Hoppe, R. Arch. 



Mth. Ps. 9 (1890) 434-. 

 Pairs of tetrahedra. Muth, P. Z. Mth. Ps. 



37 (1892) 117-. 

 Parallelogram, property, analogues in space. 



Walker, J. J. [1866] Mess. Mth. 4 (1868) 144-. 

 Perpendicular planes bisecting edges, theorem. 



Flemming, C. G. Grunert Arch. 10 (1847) 



326-. 

 Perpendiculars on faces from any point, relation 



between. Gilbert, P. Brux. Ac. Bll. 28 



(1869) 535-. 

 Points. Hermes, O. [1865] Crelle J. 65 (1866) 



293-. 



of symmetry. Hain, E. [1876] Arch. Mth. 

 Ps. 60 (1877) 304-. 



Polar tetrahedra, properties. Poudra, N. G. 



N. A. Mth. 4 (1865) 496-. 

 Positions, special, of two tetrahedra. Schur, F. 



Mth. A. 19 (1882) 429-. 

 Problems. Baltzer, R. Grunert Arch. 16 



(1851) 125-. 

 . Azzarelli, M. Em. N. Line. At. 29 (1876) 



126-. 

 Properties. Lankeren-Matthes, D. ran. Leijd. 



A. Ac. (1835-36) 33 pp. 

 -. Ferrers, N. M. [1861] QJ. Mth. 5 (1862) 



167-. 



. Gellenthin, H. Arch. Mth. Ps. 3 (1886) 52-. 

 , generalisation of certain. Brill, J. Camb. 



Ph. S. P. 9 (1898) 98-. 

 Property. Dostor, G. Arch. Mth. Ps. 56 (1874) 



245-. 

 Pyramid, triangular. Monge, G. Par. EC. 



Pol. Cor. 1 (1804-08) 440- ; 2 (1809-13) 1-, 



263-. 

 , . Hachette, J. N. P. Par. EC. Pol. Cor. 



2 (1809-13) 332-. 



. , . Schulz von Strasznitzki, L. C. 



Baumgartner Z. 2 (1827) 530-. 

 , . Bretschneider, C. A. Grunert Arch. 



1 (1841) 1-. 



, . Clausen, T. As. Nr. 19 (1842) 389-. 

 , . Grunert, J. A. Grunert Arch. 21 



(1853) 352-; 23 (1854) 284-. 

 , , formula. Hoppe, R. Grunert Arch. 



3 (1843) 213-. 



455 



