6820 



Stereometry. Polyhedra 



6820 



General laws. Gergonne, J. D. Gergonne A. 



Mth. 15 (1824-25) 157-. 

 Harmonic polygons and polyhedra. Tarry, G., 



& Neuberg, J. As. Fr. C. E. (1886) (Pt. 2) 



12-. 

 Hexahedron inscribed in sphere. Merrifield, 



C. W. Ph. Mg. 22 (1861) 382-. 

 In- and circum-scribed polyhedra. Forsyth, 



A. E. [1882] L. Mth. S. P. 14 (1883) 35-. 

 Inscriptible polygons and polyhedra, properties. 



Brassinne, E. Toul. Mm. Ac. 3 (1847) 



209-. 

 Isosceles polyhedra. Badoureau, A. C. E. 87 



(1878) 823- ; Par. EC. Pol. J. call. 49 (1881) 



47-. 

 Maxima, theorem. Berner, T. [1865] Z. Mth. 



Ps. 11 (1866) 81-. 

 Maximum and minimum, cubes and regular 



tetrahedra as. Sturm, E. Crelle J. Mth. 



97 (1884) 1-. 



polyhedra. Lindelof, L. Helsingf. Acta 24 

 (1899) No. 8, 47 pp. ' 



Mensuration. Collalto, A. Padova Mm. Ac. 



(1809) 247-. 

 . Franc s ais, J. F. Gergonne A. Mth. 3 



(1812-13) 189-. 



. Lhuilier, S. Bb. Un. 37 (1828) 249-. 

 . Koppe, C. [1837] Crelle J. 18 (1838) 



275-. 

 . Becker, J. K. Grunert Arch. 38 (1862) 



345-; 40 (1863) 12-. 

 , theorem, elementary proof. Martini, M. 



Palomba Eac. 1 (1845) 84-. 

 , theorems. Lhuilier, S. [1799] Par. Mm. 



Sav. Etr. 1 (1806) 264-. 

 Mobius's theory. Eeinhardt, C. Leip. Mth. 



Ps. B. 37 (1885) 106-. 



Parallelepipedal system, conditions of perpen- 

 dicularity. Smith, H. J. S. [1876] L. Mth. 



S. P. 8 (1876-77) 83-. 

 Parallelepipeds, diagonals. Smith, Arch. 



Camb. Mth. J. 1 (1839) 94-. 

 , equality, demonstration. Matzka, W. 



Grunert Arch. 4 (1844) 363-. 



and parallelograms. Gergonne, J. D. 

 Gergonne A. Mth. 9 (1818-19) 51-. 



, partition into tetrahedra. Brown, C. 



Edinb. E, S. T. 37 (1895) 711-. 

 , rectangular, theorem. Mann, F. Grunert 



Arch. 34 (1860) 116-. 

 , skew. Littrow, J. J. von. Lindenau Z. 



3 (1817) 42-. 

 Pentahedron. Le Paige, C. Brux. Ac. Bll. 



13 (1887) 488-. 



of given volume and minimum surface. 

 Sucksdor/, C. G. Liouv. J. Mth. 2 (1857) 

 91-. 



Polar properties. Olivier, T. Quetelet Cor. 



Mth. 3 (1827) 187-. 

 Polyacrons, A-faced. Cayley, A. Manch. S. 



Mm. 1 (1862) 248-. 

 Polygons and polyhedra. Poinsot, L. [1809] 



Par. Mm. Sav. Etr. 2 (1811) 552-. 

 . Timmermans, J. A. Gergonne A. 



Mth. 18 (1827-28) 217-. 

 . Cauehy, A. L. C. E. 26 (1848) 



Polygons and polyhedra. Mainardi, G. Em. 



At. N. Line. 26 (1873) 80-. 

 , polyhedra and polygrams. Hertzer, (Dr) . 



Z. Mth. Ps. 11 (1866) 244-. 



and polyhedra, theorems. Bellavitis, G. 

 A. Sc. Lomb. Yen. 2 (1832) 186-, 241-. 



, . Sylvester, J. J. Ph. Mg. 4 



(1852) 335-. 

 Polyhedra with both angles and faces equal. 



Hess, E. Marb. Schr. 11 (AT). 1) (1876) 



95pp. 



congruent with their reflexions, but not 

 symmetrical. Juel, C. N. Ts. Mth. 6 (B) 

 (1895) 12-. 



with minimum surface for given volume. 

 Kotter, E. Crelle J. Mth. 110 (1892) 198-. 



superposable on their images. Cesdro, G. 

 [1896-97] Brux. Ac. Mm. 53 (1895-98) (No. B) 

 40pp., (No. 5) 15pp. 



, tetrahedron, and circum-sphere. Brassinne, 

 E. Toul. Mm. Ac. 3 (1847) 209-. 



with trihedral summits and having neither 

 triangle nor quadrilateral. Kirkman, T. P. 

 [1882] Lpool. Lt. Ph. S. P. 37 (1883) 



, n sides and (n-l)-gonal base. 



Kirkman, T. P. [1855] Phil. Trans. (1856) 

 399-. 



Prismoids and trapezoids. August, E. F. 



Crelle J. 60 (1862) 377-. 

 Prisms, cones, and rhombs, acrometric relations. 



Eiedl von Leuenstern, J. [1850] Haidinger 



Ab. 4 (1851) (Ab. 2) 49-. 

 Problem, general solution. Kirkman, T. P. 



[1858] Manch. Ph. S. Mm. 15 (1860) 92-. 

 Properties. Gough, J. Nicholson J. 25 (1810) 



321-. 

 Property. Minich, S. B. A. Sc. Lomb. Yen. 



2^(1832) 15-. 

 , general, demonstration. Andreev, K. A. 



(xn) Eec. Mth. (Moscou) 6 (1872-73) (Pt. 1) 



457-. 

 Pyramid of Cheops and geometrical structures. 



Zhbikovskil, A. K. [1882] (xn) Kazan S. 



Nt. (Ps.-Mth.) P. 1 (1883) [No. 5] 15-. 

 , Great. Piani, D. Bologna Mm. Ac. Sc. 



10 (1859) 391-. 

 , , angle of. Willich, C. M. Les Mondes 



10 (1866) 479. 

 , pentahedral, on trapezium as base. Ter- 



quem, 0. N. A. Mth. 1 (1842) 396-. 

 Pyramids, analysis. Svanberg, A. F. Stockh. 



Ak. Hndl. (1829) 55-. 

 , centroid, and other theorems. Ferroni, P. 



[1812] Mod. S. It. Mm. 16 (1813) 347-. 



or cones, solid angle at vertex. Kramp, C. 

 Gergonne A. Mth. 4 (1813-14) 187-. 



, corners, theorem. Miiller, J. H. F. 

 Grunert Arch. 2 (1842) 113-. 



with equal bases and heights. Hessel, J. F. C. 

 Arch. Mth. Ps. 47 (1867) 433-. 



and frustum. Tortolini, B. (vm) A. Mt. 

 4 (1861) 175. 



polygons, analysis. Svanberg, A. F. 

 Quetelet Cor. Mth. 9 (1837) 72-. 



, problem : to find 3 equal pyramids together 

 equal to portion of earth. Moolenaar, A. 

 Leijd. A. Ac. (1817-18) 9 pp. 



453 



