C-EQUALS-C-EQUALS-PI-WITH-REMAINDER-RECURSION-FRACTIONS-BY-JUSTIN-COSLOR.TXT

TUESDAY, SEPTEMBER TWENTY-EIGHTH TWO-THOUSAND-AND-TWENTY-ONE 9/28/2021

IN THE WHOLE OBJECT NATURAL NUMBER PROGRESSION CIRCUMFERENCE:DIAMETER = PI

= A SPHERE OF THREE WHOLE DIAMETER UNITS ALONG A LINE 
PLUS AN EXTERNAL SMALLER AND SMALLER RECURSIVE REMAINDER SUM OF THREE FRACTIONS
REPRESENTING SPHERE CAPS THAT ARE ADDED TOGETHER.

= A VOLUME OF 3 WHOLE DIAMETER UNITS ALONG A C EQUALS C LINE PLUS SPHERE CAP VOLUMES AS

+ 1/X^1 OF A DIAMETER UNIT THROUGH THE CENTER OF THE OF AN ADDITIONAL TOTAL SPHERE CAP

+ 4/X^2 OF A TOTAL SPHERE CIRCLE CIRCUMFERENCE OF THE TOTAL SPHERE CAP VOLUME

+ 1/X^3 OF THE TOTAL SPHERE CAP VOLUME

+ RECURSIVE REMAINDER FRACTIONS OF THESE THREE ADDITIONAL UNIT OBJECTS ADDED TO THE TOTAL SPHERE VOLUME

= A TOTAL SPHERE VOLUME WHOSE CIRCUMFERENCE IS DIAMETER + DIAMETER + DIAMETER + RECURSIVELY SMALLER AND SMALLER THREE UNIT FRACTIONS OF THE TOTAL SPHERE AS REPRESENTED BY SMALLER AND SMALLER SPHERE CAP VOLUMES AS C-3D