Chapter I. Introductory. Notes and References.
Chapter II. Differences, Interpolation, and Development. Notes and References.
Chapter III. The Method of Least Squares. Section I. Mean Values of Quantities. II. Determination of Probable Errors. III. Equations of Condition. Notes and References.
Chapter IV. Spherical Coördinates. Section I. General Theory. II. Problems and Applications of the Theory of Spherical Coördinates.
Chapter V. The Measure of Time and Related Problems. Section I. Solar and Sidereal Time. II. The General Measure of Time. III. Problems Involving Time.
Chapter VI. Parallax and Related Subjects. Section I. Figure and Dimensions of the Earth. II. Parallax and Semi-diameter.
Chapter VII. Aberration.
Chapter VIII. Astronomical Refraction. Section I. The Atmosphere as a Refracting Medium. II. Elementary Exposition of Atmospheric Refraction. III. General Investigation of Astronomical Refraction. Notes and References to Refraction.
Chapter IX. Precession and Nutation. Section I. Laws of the Precessional Motion. II. Relative Positions of the Equator and Equinox at Widely Separated Epochs. III. Nutation. Notes and References to Precession and Nutation.
Chapter X. Reduction of Mean Places of the Fixed Stars from one Epoch To Another. Section I. The Proper Motions of the Stars. II. Trigonometric Reduction for Precession. III. Development of the Coördinates in the Powers of the Time. NOTES AND REFERENCES.
Chapter XI. Reduction to Apparent Place. Section I. Reduction to Terms of the First Order. II. Rigorous Reduction for Close Polar Stars. III. Practical Methods of Reduction. IV. Construction of Tables of the Apparent Places of Fundamental Stars. Notes and References.
Chapter XII. Method of Determining the Positions of Stars by Meridian Observations. Section I. Method of Determining Right Ascensions. II. The Determination of Declinations.
Chapter XIII. Methods of Deriving the Positions and Proper Motions of the Stars from Published Results of Observations. Section I. Historical Review. II. Reduction of Catalogue Positions of Stars to a Homogeneous System. III. Methods of Combining Star Catalogues.
Explanation of the Tables of the Appendix.—I. Constants and Formulæ in Frequent Use. II. Tables Relating to Time and Arguments for Star Reductions. III. Centennial Rates of the Precessional Motions. IV. Tables and Formulæ for the Trigonometric Reduction of Mean Places of Stars. V. Reduction of the Struve-Peters Precessions to the Adopted Values. VI. Conversion of Longitude and Latitude into R. A. and Dec. VII. Refractions. VIII. Coefficients of Solar and Lunar Nutation. IX. Three-place Logarithms and Trigonometrical Functions.
Transcriber's Notes
Ditto marks have been replaced by the text they represent.
Some presumed printer's errors have been corrected, including normalizing punctuation. Further corrections are listed below:
| Printed text | Corrected text | Page |
| MITGLIED DER | MITGLIED DER | |
| ASTRONOMISCHE GESELLSCHAFT | ASTRONOMISCHEN GESELLSCHAFT | Title page |
| terrrane | terrane | 108 |
| seem | seems | 247 |