94 NUMBERS AND MEASURES. 



(117) SQUARES OF RADII OF GYIIATION K.~ 



Rod perpendicular axis through end a-/B 



Rod perpendicular axis through middle ... a 1 /!^ 



Circular wire about a diameter d'/'2 



Circular wire JL axis through centre a 2 



Triangular plate about side c (a sin ABC)~IQ 



Triangular plate j_ axis through c (3- + 3&- -c' J )/12 



Triangular plate _L axis through centre of 



gravity ( 2 + &- + c 2 )/36 



Rectangular plate about median parallel 



to 6 2 /12 



Rectangular plate J_ axis through angle... ( 2 4-6' 2 )/3 



Rectangular plate J_ axis through c of G... (ft 2 +"6 2 )/12 



Circular plate about a diameter "/4 



Circular plate about a tangent 5-/4 



Circular plate _L axis through centre a 2 /2 



Elliptic plate about b axis a~/l 



Annulus about a diameter ( 2 + 5' 2 /4 



Annulus jL axis through centre (ft--f& 2 /2 



Cube about an edge '2a' 2 /3 



Cube about a diagonal a'/Q 



Cylinder about the central axis (a} b*/'2 



Cylinder _L axis at end ft 2 /3 + & 2 /4 



Cylindei* JL axis through middle a' 2 /12 + b /4 



Right cone about axis (a) 8^/10 



Right cone J_ axis through vertex 3(4~ + 6")/20 



Sphere about a diameter 2ft"/ 5 



Spheroid about b axis 2ft V 5 



Ellipsoid about c axis (ft 2 + & : )/5 



Thin spherical shell about diameter 2ft'-/3 



Spherical shell about diameter 2(a 5 - 6 v )/5(ft 3 - i> : ') 



