7 TABLE 38. 



MOMENTS OF INERTIA, RADII OF GYRATION, AND WEIGHTS. 



In each case the axis is supposed to traverse the centre of gravity of the body. The axis is 

 />ne of symmetry. The mass of a unit of volume is w. 



(Taken from Rankine.) 



For further mathematical data see Smithsonian Mathematical Tables, Becker and Van Orstrand 

 (Hyperbolic, Circular and Exponential Functions); Functionentafeln, Jahnke und Emde (xlgx, 

 Roots of Transcendental Equations, a -j- bi and re 1 **, Exponentials, Hyperbolic Functions, 



/x f*oo t*~x 



du, I - du, I du, Fresnel Integral, Gamma Function, Gauss Integral 



J X J Oo 



-^= I f-x^dx, Pearson Function e-^v I si 



, Elliptic Integrals and Functions, Spherical 



and Cylindrical Functions, etc.). For further references see under Tables, Mathematical, in the 

 nth ed. Encyclopaedia Britannica. See also Carr's Synopsis of Pure Mathematics and Mellor's 

 Higher Mathematics for Students of Chemistry and Physics. 



SMITHSONIAN TABLES- 



