TABLE OF CONTENTS* 



PREFACE Page (iii) 



GENERAL SUMMARY OF PROGRESS xix 



A. MATHEMATICS AND ASTRONOMY (xix) 1 



(a.) MATHEMATICS AND THEORETICAL MECHANICS. 



The Early Use of the Decimal Point, 1 ; Tables of Elliptic Integrals, 1 ; 

 the Reduction of Elliptic Integrals, 2 ; New Formula for Determining the 

 Altitude from Barometric Observations, 2 ; the Trisection of an Angle, 2 ; 

 Properties of Prime Numbers, 4; Applications of Peaucellier Cells, 4; 

 Hamilton's Equation of Motion, 4 ; on the Solution of Numerical Equa- 

 tions, 6 ; Divisibility by Seven, 31 ; the Computation of the Areas of Ir- 

 regular Figures, 33 ; Properties of the Tetrgedron, 35. 

 (b.) ASTRONOMY. 



Interstellar Space : The Density of the Luminiferous Ether, 6. Stars : 

 A Fine Double Star, 6 ; Herschel's Catalogue of Double Stars, 7 ; Orbit of 

 a Double Star, 8 ; the Orbit of the Double Star " Mu Bootis," 8 ; Spectra 

 of the Faint Stars, 9 ; on the Scintillation of the Stars, 9 ; Photographs of 

 Stellar Spectra, 11; Orbit of the Double Star 42, Comas Berenices, 36; 

 Method of Constructing Charts of Stars, 37 ; on the Rectilinear Relative 

 Motion of the Components of the Star 61 Cygni, 38 ; the Triple Star Zeta 

 Cancri, 38 ; on the Observation of Variable Stars, 59. The Solar System : 

 On the Chemistry of the Solar System, 40. The Sun : Agreement of 

 Secchi's Views with Professor Langley's, 11; White Lines in the Solar 

 Spectrum, 11 ; the Structure of Solar Spots, 10 ; Zbllner's Theory of the 

 Solar Spots, 12 ; Ancient Observations of Solar Spots, 12 ; the Solar At- 

 mosphere, 13; the Dimensions of the Sun, 13; on Solar Radiation, 14; 

 Studies on Solar Radiation, 15 ; Solar Radiation in Egypt, 42 ; Measuring 

 the Chemical Action of Sunlight, 16 ; the Temperature of the Sun, 16, 17, 

 18 ; Variability of Solar Temperatures, 17 ; a Famous Solar Eclipse, 40 ; 

 Studies upon the Diameter of the Sun, 41; Thermographs of the Isothermal 

 Lines of the Solar Disk, 42. The Planets: In general: A New Method 



* In the arrangement of articles in the body of the Record, it was found impracti- 

 cable to place them in proper systematic sequence, especially as many belonged as 

 much to one division as to another, sometimes even to three or four equally. The 

 present systematic Table is intended to remedy the difficulty, by bringing together in 

 proper order all the titles of articles, and, by a system of cross references and dupli- 

 cations, to point out all matter relating to any one subject, whatever be its situation 

 in the volume. The references in Roman letters preceding the page references of 

 the headings relate to the pages of the fhtrodnctory " Summary." 



