I* 



Table 39 



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 

 one of symmetry. The mass of a unit of volume is w. 



(Taken from Ranking.) 



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

 Orstrand (Hyperbolic, Circular and Exponential Functions) ; Smithsonian Mathematical 

 Formulae and Tables of Elliptic Functions, Adams and Hippisley ; Functionentafeln, 

 Jahnke und Emde (xtgx, x _1 tgx, Roots of Transcendental Equations, a + bi and re* 1 ', 

 Exponentials, Hyperbolic Functions, 



/ sin * du, / cos " du, I — du, P>esnel Integral, Gamma Function, Gauss Integral 

 J x U J °o " 



■4= I e-x^dx, Pearson Function e-\*v I sin'- £*xdx, Elliptic Integrals and Functions, Spherical 



V V o Jo 



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- 



