TABLES 



XXXlll 



TABLE XIV 



MENSURATION 

 CIRCULAR MEASURE 



Circumference of circle = diameter x 3.1416. 



Diameter of circle = circumference x 0.3183. 



Side of square of same periphery as circle = diameter x 0.7854. 



Diameter of circle of same periphery as square = side x 1.2732. 



Side of inscribed square = diameter of circle x 0.7071. 



Length of arc = number of degrees x diameter x 0.008727. 



Circumference of circle whose diameter is 1 = ir. 



or very nearly = 



NUMBER 

 TT = 3.14159265 

 VTT = 1.772454. 

 7T 2 = 9.869604 



i = 0.318310. 



-i = 0.101321. 



-4= = 0.564190 



r = radius 

 c = chord 

 v = versine 

 o = ordinate 





, or very nearly = 



4 8 T 



COMMON LOGARITHM 

 0.4971499 

 0.24857494 

 0.99429995 



9.50285013 - 10 

 9.00570025 - 10 

 9.75142506-10 



1 radian = angle subtended by circular arc equal in length to the radius of the 

 circle ; TT radians = 180 degrees ; 



(-1 QA\ O 

 1 = 57.29577951. 

 */ 

 Segment of circle = area of sector less triangle ; also for flat segments very 



nearly = 



).388v 2 + - 

 4 



Side of square of same area as circle = diameter x 0.8862 ; also = circumference 

 x 0.2821. 



Diameter of circle of same area as square = side x 1.1284. 



Area of parabola = base x height. 



Area of ellipse = long diameter x short diameter x 0.7854. 



Area of regular polygon = sum of sides x half perpendicular distance from center 

 to sides. 



