238 INDEX. Cambridge University Press, 56, 193. Canon Pellianus, Degen, 142. Casey, John, 31. Catalogue of the Astronomische Gesellschaft, T. H. Saffo

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1 INDEX. Académie des Sciences, 193. Adams, John Couch, 142 ; Memorial of, 215. Airy, George Biddle, 142. Algebra, Fine's Number System of, G. Eneström, 26. Algebraic Curves, Topology of, L. S. Hulburt, 197. Equation, Kronecker and his Arithmetical Theory of the, H. B. Fine, 173. Amendment Solution to Constitution, of Quartic Equations, 142, 193. M. Merriman, 202. American Association for the Advancement of Science, Washington Meeting, 30. Institute of Electrical Engineers, Transactions, 142. Journal of Mathematics, 55, 56, 142, 194. Analytical Geometry, A French, C. H. Chapman, 92. Annual Meeting of the German Mathematicians, A. Ziwet, 96. Meeting of the Society, 124. Association for the Improvement of Geometrical Teaching, 169. for the Improvement of the Teaching of Mathematics and the Natural Sciences, 31. Astronomische Gesellschaft, Catalogue of the, T. H. Safford, 33. Astronomy, Greene's Spherical and Practical, J. K. Rees, 140. Authors of articles in the Bulletin : BÔcher, 225. Hulburt, 197. Brown, 206. Jacoby, 27, 28, 44, 139. Cajori, 184. Johnson, 1, 129. Chapman, 92, 150. Macfarlane, 189. Cole, 105. McClintock, 85. Davies, 75. Merriman, 39, 202. Davis, 16. Newcomb, 120. Duhem, 157. Bees, 140. Eneström, 26. Safford, 33» Fields, 48. Scott, 217. Fine, 173. Stabler, 123. Fiske, 12, 61. Wright, 46. Haskell, 223. Ziwet, 6, 42, 96, 145. Hathaway, 66. Ball, R. S., 170. Bertrand's Calcul des Probabilités, E, W. Davis, 16. Bibliography, 57, 82, 103, 127, 143, 171, 195, 216, 233. Bibliotheca Mathematica, 26. Bôcher (M.): Collineation as a Mode of Motion, 225, 231. Boyd (J. H.): An Expression for the Total Surface of an Ellipsoid in Terms of 6- and p- Functions, Including an Application to the Prolate Spheroid, 231. Briot and Bouquet: Leçons de Géométrie Analytique, 92. Brown (E. W. ) : Poincaré's Mécanique Céleste, 206. Cajori (F.): Multiplication of Series, 184. Calcul des Probabilités, E. W. Davis, 16.

2 238 INDEX. Cambridge University Press, 56, 193. Canon Pellianus, Degen, 142. Casey, John, 31. Catalogue of the Astronomische Gesellschaft, T. H. Safford, 33. Cayley (A.): On Lists of Covariants, 142. Chapman (C. H.): A French Analytical Geometry, 92 ; Weierstrass and Dedekind on General Complex Numbers, 150. Clarendon Press, 56. Clark University, 102, 194. Cole (F. N.): Klein's Modular Functions, 105. Collineation as a Mode of Motion, M. Bôcher, 225. Columbia College, 80. Complex Numbers, "Weierstrass and Dedekind on General, C. H. Chapman, 150. Constitution, Amendment to, 142, 193. Covariants, Lists of, E. McClintock, 85, 142. Craig (T.) : Treatise on Linear Differential Equations, 48. Davies (J. E.): Preston's Theory of Light, 75. Davis (E. W.): Bertrand's Calcul des Probabilités, 16. Dedekind and Weierstrass on General Complex Numbers, C. H. Chapman, 150. Degen's Canon Pellianus, 142. Deutsche Mathematiker-Vereinigung, 96, 232. Differential Calculus,- by J. Edwards, C. A. Scott, 217. Equations, Craig's Linear, J. C. Fields, 48. Equations, Picard's "Demonstration of the General Theorem upon the Existence of Integrals of Ordinary, T. S. Fiske, 12. Doubly Infinite Products, T. S. Fiske, 61. Duhem (P.), Emile Mathieu, his Life and Works, 157. Early History of the Potential, A. S. Hathaway, 66 ; Notes on, 126. Edward's Differential Calculus, C. A. Scott, 217. Eight-figure Logarithm Tables, H. Jacoby, 139. Election of New Members of the Society, 54, 78, 124, 125, 142, 169, 193, 215, 231. Eneström (G.) : Fine's Number System of Algebra, 26. Engler (E. A.): Geometrical Construction for Finding Foci of Sections of a Cone of Revolution, 169. Errata, 236. Evans, Asher Benton, 56. Exact Analysis as the Basis of Language, A. Macfarlane, 189. Fargis (E. A.) and Hagen (J. G.): The Photochronograph, H. Jacoby, 44. Ferrel, William, 55. Fields (J. C): Craig's Linear Differential Equations, 48; Transformation of a System of Independent Variables, 142. Final Formulas for the Algebraic Solution of Quartic Equations, M. Merriman, 202. Fine (H. B.) : Kronecker and his Arithmetical Theory of the Algebraic Equation, 173; Number System of Algebra, G. Eneström, 26. Fiske (T. S.): On the Doubly Infinite Products, 61; Picard's Demonstration of the General Theorem upon the Existence of Integrals of Ordinary Differential Equations, 12. Fricke (R.): Felix Klein, Vorlesungen über die Theorie der Elliptischen Modulfunctionen, 105. Frobenius, Professor, 215. Geometry, Oxford Examinations in, 169. German Mathematicians, Annual Meeting of, A. Ziwet, 96. Schools, Teaching of Elementary Geometry in, A. Ziwet, 6. Gesellschaft Deutscher Naturforscher und Aerzte, 64th Meeting, 79, 96.

3 INDEX. 239 Gilman (F.): Application of Least Squares to the Development of Functions, 125. Grand Prix des Sciences Mathématiques, 194. Greene (D.) : Introduction to Spherical and Practical Astronomy, 140. Hagen (J. G.) and Fargis (G. A.): The Photochronograph, H. Jacoby, 44. Hagen (J. G.): Synopsis der Höheren Mathematik, 31. Hall (T. P.): Cubic Projection and Rotation of a Tessaract, 193. Harvard University, 232. Haskell (M. W.): Note on Resultants, 223. Hathaway (A. S.): Early History of the Potential, 66; Notes on, 126. Hensel, Kurt, 215. Hubert (D.) : Algebraic Curves, 197. Hulburt (L. S.): Topology of Algebraic Curves, 197. Infinite Products, on the Doubly, T. S. Fiske, 61. Inhalt und Methode des Planimetrischen Unterrichts, H. Schotten, 6. Inland Press, 56, 169. Italian Mathematical Journal, A New, A. Ziwet, 42. Jacoby (H.) : Determination of Azimuth by Elongations of Polaris, 55; Eight-figure Logarithm Tables, 139; South American Longitudes, by J. A. Norris and Chas. Laird, 28; The Photochronograph, by J. G. Hagen, S. J. and E. A. Fargis, 44; West African Longitudes, by D. Gill, 27. Johnson (W. W.): Peters' Formula for Probable Error, 231; Octonary Numeration, 1 ; The Mechanical Axioms or Laws of Motion, 129. Johns Hopkins University, 81, 194. Klein's Modular Functions, F. N. Cole, 105. Kowalevski, Sophie, 31. Kronecker, Leopold, 142 ; His Arithmetical Theory of the Algebraic Equation, H. B. Fine, 173. Language, on Exact Analysis as the Basis of, A. Macfarlane, 189. Laverty (W. H.): The Laws of Motion, An Elementary Treatise on Dynamics, A. Ziwet, 145. Laws of Motion, An Elementary Treatise on Dynamics, by W. H. Laverty, A. Ziwet, 145. Leach, Shewell and Sanborn, 126. Least Squares, a Problem in, M. Merriman, 39. Light, Preston's Theory of, J. E. Davies, 75. Lists of Covariants, E. McClintock, 85, 142. Logarithm Tables, Eight-figure, H, Jacoby, 139. London Mathematical Society, Honorary Members, 215. Longitudes, South American, by J. A. Norris and Ch. Laird, H. Jacoby, 28. West African, by D. Gill, H. Jacoby, 27. Lucas, Edouard, 81. Macfarlane (A.) : Fundamental Formulas of Analysis Generalized for Sjpace, 215 ; On Exact Analysis as the Basis of Language, 189. Macmillan and Company, 143, 193. Marie, Maximilian, 31. Martin (A.) : Errors in Degen's Canon Pellianus, 142 *, On Powers of Numbers whose Sum is the Same Power of Some Number, 55. Mathematical Problems, E. L. Stabler, 123. Society of the University of Michigan, 80. Mathieu, Emile, His Life and Works, P. Duhem, 157. Matzka, Wilhelm, 31. McClintock (E.) : On the Computation of Covariants by Transvection, 125 ; On Lists of Covariants, 85 ; Note, 142. Mécanique Céleste, H. Poincaré, E. W. Brown, 206. Mechanical Axioms or Laws of Motion, W. W. Johnson, 129.

4 240 IHDEX. Mechanics, Nomenclature of, T. W. Wright, 46. Some Recent Elementary Works, A. Ziwet, 145. Meeting, American Association for the Advancement of Science, 30. Deutsche Mathematiker-Vereinigung, 96, 232. German Association for the Improvement of the Teaching of Mathematics and the Natural Sciences, 31. Gesellschaft Deutscher Naturforscher und Aerzte, 79, 96, 232. Mathematical Society of the University of Michigan, , National 215, 231. Academy of Sciences, 80. Merriman New (M.) York : A Mathematical Problem in Least Society, Squares, 54, 78, 39, 101, 55 ; 124, Final 125, Formulas 142, 169, for the Algebraic Solution of Quartic Equations, 193, 202. Modular Functions, Klein's, F. N. Cole, 105. Motion, Collineation as a Mode of, M. Bôcher, 225. Mechanical Axioms or Laws of, W. W. Johnson, 129. Multiplication of Series, F. Cajori, 184. Murray (D. A.), appointed Librarian of the Society, 215. National Academy of Sciences, New York Meeting, 80. Newcomb (S.): Perturbations of the Four Inner Planets, 120. New Members of the Society elected, 54, 78, 124, 125, 142, 169, 193, 215, 231. Publications, 57, 82, 103, 127, 143, 171, 195, 216, 233. Nicholson (J. W.) : Simple and Direct Method of Separating the Roots of Ordinary Equations, 215. Nomenclature of Mechanics, T. W. Wright, 46. Note on Resultants, M. W. Haskell, 223. Notes, 30, 54, 78, 101, 124, 142, 169, 193, 215, 231. Numeration, Octonary, W. W. Johnson, 1. Octonary Numeration, W. W. Johnson, 1. Officers of the Society Elected, 124, Oxford Examinations in Geometry, 169. Papers presented to the Society. Authors : Bôcher, 231. Macfarlane, 169, 215. Bovd, 231. Martin, 55. Engler, 169. McClintock, 125. Fields, 142. Merriman, 193. Gilman, 125. Nicholson, 215. Hall, 193. Pupin, 101. Jacoby, 55. Steinmetz, 78. Johnson, 231. Stringham, 55. Peano (G.): Rivista di Matematica, 42, 282. Perturbations of the Four Inner Planets, S. Newcomb, 120. Photochronograph, by J. G. Hagen, S. J. and G. A. Fargis, H. Jacoby, 44. Picard's Demonstration of the General Theorem upon the Existence of Integrals of Ordinary Differential Equations, T. S. Fiske, 12. Planets, Perturbations of the Four Inner, S. Newcomb, 120. Poincaré's Mécanique Céleste, E. W. Brown, 206. Potential, Early History of the, A. S. Hathaway, 66. Preston's Theory of Light, J. E. Davies, 75. ' Prix Bordin, 194. Prize of the Prince Jablonowski Society, 215. Prizes of the French Academy, 193. Probability, Questions in the Theory of, G. B. M. Zerr, 123. Bertrand's Treatise on, E. W*. Davis, 16. Problem in Least Squares, M. Merriman, 39. Problems, Mathematical, G. B. M. Zerr, E. L. Stabler, 123. Proceedings of the Society, 54, 78, 101, 124, 125, 142, 169, 193, 215, 231,

5 INDEX. 241 Publications, New, 57, 82, 103, 127, 143, 171, 195, 216, 233. Pupin (M. I.): On a Peculiar Family of Complex Harmonics, 101, 142. Quartic Equations, Final Formulas for Solution of, M. Merriman, 202, Recent Elementary Works on Mechanics, A. Ziwet, 145. Rees (J. K.): Greene's Spherical and Practical Astronomy, 140. Register Publishing Company, 56, 169. Resultants, Note on, M. W. Haskell, 223. Rivista di Matematica, 42, 232. Royal Astronomical Society of London, 55. Safford (T. H.): Catalogue of the Astronomische Gesellschaft, 33. Schönflies, Arthur, 232. Schotten (H.) : Inhalt und Methode des Planimetrischen Unterrichts, 6. Scbroeter, H. E., 169. Schwarz, H. A., 194. Scott (C. A.): Edward's Differential Calculus, 217. Series, Multiplication of, F. Cajori, 184. South American Longitudes, by J. A. Norris and Ch. Laird, H. Jacoby, 28. Spherical and Practical Astronomy, Greene's Introduction to, J. K. Rees, 140. Stabler (E. L.): Mathematical Problems, 123. Steinmetz (C. P.): On the Curves which are Self-Reciprocal in a Linear Nul-System, and Their Configuration in Space, 78. Stringham (I.) : Classification of Logarithmic Systems, 55. Sturm, Rudolph, 194. Synopsis der Höheren Mathematik, J. G. Hagen, 31. Tait (P. G.): Note on Early History of the Potential, 126. Taylor (A. B.): Octonary Numeration, 2. Teaching, Association for the Improvement of Geometrical, 169. Of Elementary Geometry in German Schools, A. Ziwet, 6. Of Mathematics and the Natural Sciences, Association for Improving the, 31. Topology of Algebraic Curves, L. S. Hulburt, 197. Treasurer's Report, New York Mathematical Society, 125. University of Michigan Mathematical Society, 80. Weber, Wilhelm Eduard, 31, 232. Weber, H., 215. Weierstrass and Dedekind on General Complex Numbers, C. H. Chapman, 150. West African Longitudes, by D. Gill, H. Jacoby, 27. Wiley (John) and Sons, 56, 81, 126. Wright (T. W.) : Nomenclature of Mechanics, 46. Zeitschrift fur den Math, und Naturwiss. Unterricht, 31. Zerr (G. B. 16 M.): Solutions of Questions in the Theory of Probability and Averages, 123. Ziwet (A.): A new Italian Mathematical Journal, 42', Some Recent Elementary Works on Mechanics, 145; The Annual Meeting of the German Mathematicians, 96 ; The Teaching of Elementary Geometry in German Schools, 6,

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