6820 Mensuration 



Pyramid, truncated. Dietzel, F. Grunert 



Arch. 13 (1849) 447-. 

 , , n sides, volume = h(B + b+ \/Bb). 



Flesch, J. Grunert Arch. 3 (1842) 444-. 

 , volume, theorem by Pappus extended to. 



Paraira, M. C. N. Arch. Wisk. 9 (*1882) 



96-. 

 , , . Boguslavskij, A. I, 



Mosc. S. Sc. Bll. 73 (No. 1) (1891) 27-; 



Fschr. Mth. (1891) 614. 

 Simpson's rule. Lodge, A. Mth. Gz. No. 6 



(1895) 58-. 



rules, and Woolley's rule, value in ship- 

 building calculations. Pur kiss, H. J. [1865] 

 QJ. Mth. 7 (1866) 235-. 



Solids with two parallel faces, theorems. 



Steiner, J. Crelle J. 23 (1842) 275-. 

 , volume, in terms of transverse sections. 



Knibbs, G. H. N. S. W. B. S. J. 34 (1900) 



36-. 

 Sphere. Wittstein, T. Grunert Arch. 39 (1862) 



. 'Saltel, L. [1880] Bordeaux S. Sc. Mm. 



4 (1882) 375-. 

 . Postnikov, M. V. Kazan S. Nt. (Ps.-Mth.) 



P. 5 (1887) 124-. 

 , portion bounded by planes not passing 



through centre, volume and area. Somov, 



I. I. (xn) Eec. Mth. (Moscou) 3 (1868 



(Pt. 1) 79-. 

 , portions. Woodhouse, R. Phil. Trans. 



(1801) 153-. 



and portions of sphere, volume and area. 

 Gergonne, J. D. Gergonne A. Mth. 13 

 (1822-23) 343-. 



Spherical segment. Bary, . Gergonne A. 

 Mth. 21 (1830-31) 326-. 



. Guimaraes, R. Lisb. J. Sc. Mth. 5 

 (1898) 172- ; Fschr. Mth. (1898) 444. 



between two arbitrary planes, volume and 

 area. Czuber, E. Crelle J. Mth. 105 (1889) 

 180. 



Tetrahedra. Gergonne, J. D. Gergonne A. 



Mth. 19 (1828-29) 151-. 

 . Lhuilier, S. Bb. Un. 45 (1830) 208-. 

 . Hunyady, E. von. Z. Mth. Ps. 11 (1866) 



163-. 



. Dostor, G. N. A. Mth. 6 (1867) 410-. 

 . Gunther,S. Arch. Mth. Ps. 56 (1874) 17-. 

 . Faure, H. N. A. Mth. 20 (1881) 338-. 

 , class. Hill, M. J. M. [1895] L. Mth. S. 



P. 27 (1896) 39-. 

 , polar reciprocal, volumes, relation. Luch- 



terhandt, A. R. Grunert Arch. 10 (1847) 



198-. 

 , relation between volume, area of faces and 



area of projection on a plane, theorem by 



Eoberts, generalisation. Lebesgue, V. A. 



N. A. Mth. 20 (1861) 63-. 

 , volumes, from equations of bounding 



elements. Studnitka, F. Prag Sb. (1872) 



(pt. 2) 45-. 

 , and normal, relation. Sylvester, J. J. 



N. A. Mth. 13 (1854) 203-. 

 , product of 16 algebraic values of 



surface. Sylvester, J. J. Camb. and Dubl. 



Mth. J. 8 (1853) 171-. 



Stereometry 6820 



Tetrahedra, volumes, theorem. Grunert, J. A. 



Arch. Mth. Ps. 45 (1866) 66-. 

 . , , Staudt's. Gentil, . N. A Mth 



19 (1860) 218-. 

 , , and theorem by Steiner. Virieu, J. de. 



N. A. Mth. 5 (1866) 316-. 

 , , . Sartiaux, A. N. A. Mth 



5 (1866) 317-. 



i triangles, areas, in terms of sides, 



Joachimsthal's formulae. Droz, A. N. A 



Mth. 20 (1881) 411-. 

 > i , , theorems. Gretschel, H. 



Arch. Mth. Ps. 45 (1866) 194-. 

 Tetrahedron, etc., theorems. Staudt, G. K. 



C. von. Crelle J. 57 (1860) 88-. 

 Theorems, elementary. Koppe, C. N. A. Mth. 



6 (1847) 480-. 



, , proof. Hessel, J. F. C. Grunert Arch. 



7 (1846) 284-. 



Tortoise, approximate valuation of volume and 



surface. Maurel, , & Rey-Pailhade, . 



Toul. S. H. Nt. Bll. 33 (1900) 79-, 88. 

 Transformation, fundamental, in stereometry. 



Bordoni, A. (vi Adds.) Opusc. Mt. Fis. 1 



(1832) 14-. 

 Trapezoidal volumes. Giard, A. N. A. Mth. 



6 (1867) 408-. 

 Varignon's theorem, extension to volumes of 



three cones. Hocevar, F. Wien Az. 17 



(1880) 196-. 



Minimum distance problem. Talbot, W. H. F. 



Gergonne A. Mth. 13 (1822) 329-. 

 Obelisks, formation, etc. Grunert, J. A. 



Grunert Arch. 9 (1847) 87-. 

 , , (Grunert). Brix, A. F. W. Grunert 



Arch. 11 (1848) 339-. 

 , Koppe's. Bretschneider, C. A. Grunert 



Arch. 36 (1861) 18-. 

 , and prismatoid. Schlomilch, 0. Z. Mth. 



Ps. 13 (1868) 160-. 

 , reality, problem. Schellen, . Grunert 



Arch. 11 (1848) 341-. 

 , , . Matzka, W. Grunert Arch. 11 



(1848) 377-. 

 Perpendicular to given plane through two given 



straight lines. Grunert, J. A. Grunert 



Arch. 37 (1861) 445-. 

 Planes, seven, problem. Poudra, . N. A. 



Mth. 15 (1856) 161- . 



Point from which 3 other given points sub- 

 tend given angles, determination. Bessel, 



F. W. Zach M. Cor. 27 (1813) 222-; As. 

 Nr. 3 (1825) 193-, 221-. 



, 2 straight lines and plane, problem. 



Flauti, V. Nap. At. Ac. 3 (1832) 35-. 

 Points in space, regular assemblages, properties. 



Bravais, A. C. E. 28 (1848) 601- ; Par. S. 



Phlm. PV. (1848) 69-; Par. EC. Pol. J. 



33" cah. (1850) 1-. 

 Polar trihedral angles and polar triangles. 



Harst, A. D. van der. N. Arch. Wisk. 17 



(1890) 188- ; Fschr. Mth. (1890) 600. 

 Polygons, skew and plane. Sturm, J. C. F. 



Gergonne A. Mth. 15 (1824-25) 309-. 

 , plane and spherical, theorems. Bernardi, 



G. G. Mt. 29 (1891) 63-, 173-, 378. 



451 



FF2 



