1.1 MATHEMATICAL TABLES

by George F. Baumeister

REFERENCES FOR MATHEMATICAL TABLES: Dwight, Mathematical Tables of Elementary and Some Higher Mathematical Functions, McGraw-Hill. Dwight, Tables of Integrals and Other Mathematical Data, Macmillan. Jahnke and Emde, Tables of Functions, B.G. Teubner, Leipzig, or Dover. Pierce-Foster, A Short Table of Integrals, Ginn. Mathematical Tables from Handbook of Chemistry and Physics, Chemical Rubber Co. Handbook of Mathematical Functions, NBS.

Given: h = height; c = chord. To find the diameter of the circle, the length of arc, or the area of the segment, form the ratio h/c, and find from the table the value of (diam/ c), (arc/ c); then, by a simple multiplication,

diam = c (diam/ c)
arc = c (arc/ c)
area = h c (area/ h c)

Given: h = height; D = diameter of circle. To find the chord, the length of arc, or the area of the segment, form the ratio h/D, and find from the table the value of (chord/ D), (arc/ D), or (area/ D ²); then by a simple multiplication,

diam = D