Recent Mathematical Tables

Of the 56 tables in this volume we shall give only brief indications of the titles of the first 52. These are as follows: I—II, Common logarithms of numbers, and of the circular functions; III-V, Natural sines, cosines, tangents, cotangents; VI, Stadia reductions; VII, Elevations above sea level from barometric readings; VIII, Coefficients for temperature corrections, barometric; IX-X, Conversion of meters to feet and feet to meters; XI, Conversion of seconds of latitude and longitude to feet; XII, Tables of S; XIII, Conversion of decimals of a day to hours; XIV, Inclination corrections for 50 meter tape; XV, Curvature and refraction; XVI, Corrections for vertical angles; XVII, Common logarithms of m, spherical excess factor; XVIII, Azimuths of Polaris at elongation, 1940-1950; XIX, Conversion of arc into time, and time into arc; XX, Standard time signals; XXI, Mean astronomic refraction, with corrections; XXII, Parallax and altitude of the sun; XXIII-XXIV, Conversion of mean time to sidereal time, and of sidereal time to mean time; XXV, Arc-sin corrections for inverse position computations; XXVI, Conversion of degrees Centigrade to degrees Fahrenheit, and degrees Fahrenheit to degrees Centigrade; XXVII, Common logarithms of versed sines and external secants; XXVIII, Natural versed sines and external secants; XXIX, Methods of expressing gradients; XXX, Differences in elevations for given horizontal distances and gradients from 0° to 30°; XXXI-XXXII, Differences in elevations, and horizontal distances, for given slope distances and gradients from 0° to 30°; XXXIII, Reduction to the horizontal of distances paced on slopes; XXXIV, Radii and their logarithms; XXXV, Tangent offsets and middle ordinates; XXXVI, Tangents and externals for 1° curves; XXXVII, Corrections for tangents and externals; XXXVIII, Long chords and actual arcs; XXXIX, Corrections for subchord lengths; XL, Circumferences and areas of circles; XLI, Squares, cubes, square roots, cube roots; XLII, Conversion of inches and sixteenths to decimals of a foot; XLIII, Conversions of sixteenths of an inch to decimals of an inch; XLIV, Map scales in English measure and metric units; XLV, Minutes into decimals of a degree; XLVI, Useful constants and formulae; XLVII, The Greek alphabet; XLVIII, Lengths of circular arcs for unit radius; XLIX, Corrections to AY for magnification of scale; L, Reduction of geographic azimuth to grid azimuth; LI, Ageton table for meridian determinations; LH, Common logarithms of circular functions in hundredths of a degree. The next four tables involve mils. Table LIII gives the logarithms, to 5D, of sine, cosine, tangent, cotangent, for every mil of the quadrant. Tables LIV-LV give natural values, to 5D, of these same functions, for the same range. Table LVI is for conversion of degrees to mils, and mils to degrees. The supplement gives one correction in Table II, and 48 in Table LIII. Also two pages to replace two of the four pages of the table of Natural tangents and cotangents in mils. The mils table calculated by Andoyer to which reference has earlier been made (MTA C, p. 39, 84) may be noted once more, Service Geographique de l'Armee. Tables de Logarithmes ä cinq Decimales pour les nombres de 1 ä 12 000, et pour les Lignes Trigonometriques dans le Systime de la Division de la Circonference en 64 000 parties igales (dixiemes du millieme de I'artillerie). Paris, Imprimerie Nationale, 1916; with differences and proportional parts. See also the description (MTA C, p. 40) of punched cards for the six natural trigonometric functions, to 5D, for every tenth of a mil in the quadrant. Also RMT 126. In 1942 A. W. Tucker published a sheet of four-place tables, for each 10 mils, of the six logarithmic and natural trigonometric functions.