8460 



Application of Integral Calculus 



8460 



Division of surface of right cone on circular 



base. Lampe, E. Fschr. Mth. (1895) 736. 

 Ellipse, circumference. Brinkley, J. [1802] 



Ir. Ac. T. 9 (1803) 145. 

 , . Bakewell, T. W. Franklin I. J. 29 



(1855) 369-. 

 , , approximate calculation. Schldmilch, 0. 



Giving. 12 (1866) 31-. 

 , , values. Cavallin, C. B. S. (xn) 



Ts. Mth. 1 (1883) 33-. 

 , , expression by series. Hoppe, R. 



Grunert Arch. 3 (1843) 265-. 

 , quadrant. Schl&milch, O. Z. Mth. Ps. 13 



(1868) 530. 

 Elliptic arc. Morin, A. N. A. Mth. 2 (1843) 



493. 



arcs, calculation. Seewald, E. [1877] 

 Wien Ak. Sb. 76 (1878) (Ab. 2) 365-. 



, comparison. Guimardes, R. G. Teix. 



J. Sc. 7 (1886) 111-. 



, property. Buzengeiger, K. H. J. 

 Lindenau Z. 2 (1817) 98-. 



, Schmidt's tables. Verdam, G. J. 

 Amst. I. (1842) 57-. 



functions,- application to problems of mean 

 values. Mukhopadhyay, A. [1888] Beng. 

 As. S. J. 58 (Pt. 2) (1890) 199-, 213-. 



Equal surfaces and lines cut off by common 



radii, systems. Hoppe, R. [1871] Ups. N. 



Acta S. Sc. 8 (1873) No. 4, 18 pp. 

 Extension of Woolley's rule to integration of 



moments, proof. Merrifield, C. W. Nv. 



Archt. T. 8 (1867) 218-. 

 Frustum of pyramid, divided in given ratio. 



Grunert, J. A. Grunert Arch. 36 (1861) 



503-. 



Geodesic circles, Bertrand's theorems, demon- 

 strations. Bonnet, G. O. Par. EC. Pol. J. 



56 (1886) 143-. 

 Hyperbola, arc and asymptote. Roberts, M. 



Ir. Ac. P. 3 (1847) 385. 

 , rectangular, property of arcs. Talbot, 



W. H. F. E. S. P. 3 (1834) 258. 

 Hyperbolic arc, Landen's theorem. Plana, G. 



Palomba Eac. 2 (1846) 233-. 

 , . Griffiths, J. L. Mth. S. P. 11 



(1879-80) 87-. 

 , . Cayley, A. [1881] L. Mth. S. 



P. 13 (1881-82) 47-. 

 , (Cayley). Griffiths, J. [1881] 



L. Mth. S. P. 13 (1881-82) 49-. 



arcs, comparison. Merrifield, C. W. Phil. 

 Trans. (1859) 171-. 



Integration bv approximation. Martini, E. 

 G. Mt. 3 (1865) 91-. 



of dz 2 -t- di/ 2 + dz 2 = ds 2 . Serret, J. A . Liouv. 

 J. Mth. 13 (1848) 353-. 



= . Darboux, G. Liouv. J. Mth. 3 



(1887) 305-. 

 dx' 2 + dy 2 =ds* and analogous equations. 



Darboux, G. Liouv. J. Mth. 18 (1873) 



236-. 

 d 2 = Edu 2 + 2Fdu dv + Gdv*. Legoux , A . 



Toul. Fac. Sc. A. 3 (1889) F, 2 pp. 

 Inverse of ellipse from centre, division of arcs. 



Strebor [Roberts, W.}. N. A. Mth. 11 (1852) 



182-. 



Length of arc and of asymptote, difference. 



Fuss, P. H. St Pet. Ac. Sc. Mm. 9 (1824) 



175-. 

 on sphere and spheroid, difference, 



approximate formula. Bruns, H. As. Nr. 



97 (1880) 73-. 

 Cartesian oval arc, expression by elliptic 



functions. Roberts, S. [1873-75] (xi) L. 



Mth. S. P. 5 (1873-74) 6-; 6 (1874-75) 



200. 

 curve, first determination. Christensen, 



S. A. Ts. Mth. 5 (1887) 121- ; Bb. Mth. 



(1887) 76-. 



elliptic arc, geometrical researches. 

 Camus, G. Yen. I. At. 1 (1883) 997-. 



helix on cone. Dienger, J. Grunert 

 Arch. 16 (1851) 454-. 



line. Goedseels, (le It.) E. Brux. Ac. 



Bll. 16 (1888) 86-, [800]. 

 Lengths of arcs. Ribaucour, A. (xi) Par. 



S. Phlm. Bll. 6 (1869) 12-. 



of curves, geometrical comparison. 

 Mannheim, A. Par. EC. Pol. J. 40 e cah. 

 (1863) 205-. 



Mean radius vector of curve, surface or solid. 



Drobisch, M. W. Leip. B. 10 (1858) 124-. 

 Measurement of arcs of curves, etc. Tarry, G. 



As. Fr. C. E. (1893) (Pt. 2) 217-. 



convex surface of prism or truncated 

 cylinder. Breton [de Champ], P. Liouv. 

 J. Mth. 2 (1837) 133-. 



curved surfaces by ordinates. Merrifield, 



C. W. Nv. Archt. T. 6 (1865) 64-. 



prisms. Dieu, T. N. A. Mth. 16 (1857) 



143-. 



Perimeter of ellipse. Le Francois, (Ing.) . 

 A. Gen. Civ. 1 (1862) 206-. 



. Brocard,H.P.P.B. (xn) Mathesis 



2 (1882) 180-. 



. Mansion, P. (xn) Mathesis 2 (1882) 



211-. 

 . Muir, T. Mess. Mth. 12 (1883) 149-. 



, and approximation of definite in- 

 tegrals. Mansion, P. [1883] (xn) Brux. 

 S. Sc. A. 8 (1884) (Pt. 1) 51-; (Pt. 2) 11-. 



, certain geometric means. Cavallin, 



C. B. S. [1882-83] (xn) Mathesis 3 (1883) 

 56-. 



, limits. Peyronny, A. N. A. Mth. 



3 (1844) 232-. 



, volume, centroid, etc. of certain spaces, 



relations. Dainelli, U. G. Mt. 16 (1878) 



279-. 

 Perimeters of curves derived from conjugate 



hyperbolas, two theorems. Roberts, W. 



Liouv. J. Mth. 13 (1848) 179-. 

 Planimeter, Amsler's, theory. Thire, A. N. 



A. Mth. 5 (1886) 353-. 

 , polar, theory. Grunert, J. A. Arch. Mth. 



Ps. 51 (1870) 385-. 

 Polyhedra of maximum volume for given 



surface. Lindelof, L. L. [1869] St Pet. 



Ac. Sc. Bll. 14 (1870) 257-. 

 Prismatoid, Wittstein's. Bretschneider, C. A. 



Grunert Arch. 36 (1861) 18-. 

 Quadrable cones. Sucksdorff, C. G. [1855] 



Helsingf. Acta 4 (1856) 617-. 



VOL. I. 



625 



RB 



