6810 



Appendix 



6840 



erroneous value. Leva, L. Bb. It. 2 (1816) 



247-. 

 quadrature of circular areas. Reggto t Z. Ven. 



I. At. 7 (1880-81) 1097-. 



Ratio of Diameter to Circumference. 



Vidal, S. E. [1888] I. Egypt. Bll. 9 (1889) 



135-. 

 Extensidn of value of IT. Rutherford, W. B. 



S. P. 6 (1853) 274-. 



Rectification, ^ series for. Valat, . Bor- 

 deaux Act. Ac. Sc. 26 (1864) 276-. 



Discontinuities, on removing certain (Eulf). 



Drasch, H. Mh. Mth. Ps. 4 (1893) 376-. 

 Figures variable with a certain affinity. Neu- 



berg, J. Liege S. Sc. Mm. 16 (1890) No. 5, 



12 pp. 



Polygon*. 



Convex polygon, angles, theorem. Certo, . 



Palermo Cir. Mt. Ed. 4 (1890) 285-. 

 Isoperimetric polygons, number of sides 



doubling continually. Rouche, E. N. A. 



Mth. 1 (1882) 325-. 



Regular polygons. 



areas. Ghibaldan, I. Bucarest Ac. Eom. A. 

 17 (1894-95) (Pt. Admin.) 630-. 



Quadrilaterals. 



Complete quadrilateral. Schlomilch, 0. X. 



Z. Mth. Ps. 23 (1878) 191-. 

 Property. Brune, . Crelle J. 22 (1841) 379. 

 Square, maximum, in triangle. Brune, . 



Crelle J. 15 (1836) 365-. 

 Squares, 3, in arithmetical progression. Gui- 



bert, A. N. A. Mth. 1 (1862) 213-. 



Triangles. 



Bisection by line through any point. Lindman, 

 C. F. Arch. Mth. Ps. 51 (1870) 247-. 



Bisectors of angles, distances between feet. 

 Dostor, G. Arch. Mth. Ps. 64 (1879) 426-. 



Circles of the Triangle. 



Circum-circle of triangle formed by three 



diagonals of complete quadrilateral. Mobius, 



A. F. Leip. B. (1854) 87-. 

 In- and circum -circles, centres, relations of 



equilibrium. Noggerath, E. J. Arch. Mth. 



Ps. 43 (1865) 89-. 

 , collection of proofs of formula 



r'+r" + r'"-r=4tf. Baker, M. Des Moines 



Anal. 5 (1878) 82-. 



Nine-point or Feuerbach Circle. 



and circles touching sides, points of contact. 

 Gerono, G. C. N. A. Mth. 4 (1865) 220-. 



theorems. Fiedler, W. Schlomilch Z. 8 



(1863) 390-. 

 Circum-triangles, equilateral, of given triangle. 



Fasbender, . Crelle J. 30 (1846) 230-. 

 Property. Lehmus,. Crelle J. 50 (1855) 266-. 

 Sides, raised to given powers, problem. Poudra, 



. N. A. Mth. 15 (1856) 217-. 



Polygons, spherical, transformation, and 

 Lexell's theorem. Steiner, J. N. A. Mth. 

 4 (1845) 587-. 



SPHEEES. 



Division of sphere in given ratio. Padula, F. 



Nap. Ed. 1 (1852) 45-. 

 Property of having least surface for given 



volume, demonstration. Schirarz, H. A. 



Gott. Nr. (1884) 1-. 

 Systems of spheres connected with tetrahedron. 



Third, J. A. Edinb. Mth. S. P. 17 (1899) 



108-. 



6830 



Busse, F. G. row. Gilbert A. 19 (1805) 336-. 

 Inaccessible points, new method of surveying. 



Trouche, . A. Cond. Pon. Chauss. 38 



(1894) 243-. 



SPHEEICAL TEIGONOMETEY. 



Formula' of Spherical Trigonometry. 

 Hoza, F. Casopis 11 (*1882) 212- ; Fschr. 

 Mth. (*1882) 473. 



Legendre's theorem, analogue, geodesic appli- 

 cations. Grunert, J. A. Grunert Arch. 

 25 (1855) 197-. 



Surveying. Koller, M. W. Brunn Vh. 3 (1864) 



(Ab.) 46-. 

 Topographic instrument (automatic). Gillet, 



C. A. Cond. Pon. Chauss. 28 (1884) (Pt. 1) 



137-. 

 b- cos 2 j8 + e 2 sin 2 3 = 1 always entails b = e = 1 . 



Molhceide, C. Gilbert A. 25 (1807) 212-. 



6840 



(See also 7240.) 

 Anharmonic or Cross-Ratio. 

 Theorems. Spottiswoode, W. Camb. and 

 Dubl. Mth J. 8 (1853) 103-. 



Axonometry. 

 Cylinder orthogonal to certain surfaces. Piron- 



dini, G. G. Teix. J. Sc. 13 (1897) 77-. 

 Eotation hyperboloids, penetration by parallel 



axes. Fiedler, W. Acta Mth. 5 (1884) 



331-. 



PEESPECTIVE. 



Gruber, T. Bohm. Gs. Ab. 1 (1804) 111 pp. 

 Calculus analogous to barycentric, plane and 



straight line as elements. Lippich, F. 



Steierm. Mt. 2 (Hejt 2) (1870) 215-. 



664 



