TWENTY-SIXTH ANNUAL MEETING. 



81 



three times the diameter. The series in figure 62 is adapted to making the 

 circumference equal three times the diameter. 



'^i^- 70. 



In figure 71, which is a further modification of the same circle, the circum- 

 ference bears relation to the diameter as 3.1416 to 1. Each of the quarters 

 add 1 equally with the diameter. The sum of the inner circle (.8584) is equal 



'-:LS- 7/. 



to the difference between 3.1416 and 4. This series is only one of many 

 thousands that may be made to produce this result; and is presented because 

 it happened to be the first one tried, and to show that series may be arranged 

 in any form to produce any reasonable desired result. The series can just 

 as well be extended to produce tt (Pi) to any number of decimal places without 

 the least variation. 



In figure 72 the trigonal series is used instead of an arithmetical series; 

 yet the relations of diameters to each other are not changed. Diameters alike 

 equal 380. 



—6 



