29- CENTER OF POHOATA-DAO-MOSES CIRCLES

 CENTER OF 1st POHOATA-DAO-MOSES CIRCLE

Barycentrics   f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a²(b² - c²)[3^1/2(a⁸ - 3a⁶b² - 3a⁶c² + 3a⁴b⁴ + 3a⁴c⁴ - a⁴b²c² - a²b⁶ - a²c⁶ + 2b⁴c⁴) + 2S(a⁶ - 2b⁶ - 2c⁶ - 4a⁴b² - 4a⁴c² + 5a²b⁴ + 5a²c⁴ - 3a²b²c² + 2b⁴c² + 2b²c⁴)]

A construction of the 1st Pohoata-Dao-Moses circle is given at X(399), in connection with the work of Cosmin Pohoata on the Parry reflection point. The circle passes through the points X(13), X(16), X(110), X(399), X(1338), X(2381), X(5610), X(5611), X(5612), X(5613), and the 2nd Pohoata-Dao-Moses circle pass through X(14), X(15), X(110), X(399), X(1337), X(2380), X(5614), X(5615), X(5616), X(5617).     (Dao Thanh Oai and Peter Moses, Nov., 2013)

X(5607) lies on this line: {526, 5608}

CENTER OF 2nd POHOATA-DAO-MOSES CIRCLE

Barycentrics   f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a²(b² - c²)[3^1/2(a⁸ - 3a⁶b² - 3a⁶c² + 3a⁴b⁴ + 3a⁴c⁴ - a⁴b²c² - a²b⁶ - a²c⁶ + 2b⁴c⁴) - 2S(a⁶ - 2b⁶ - 2c⁶ - 4a⁴b² - 4a⁴c² + 5a²b⁴ + 5a²c⁴ - 3a²b²c² + 2b⁴c² + 2b²c⁴)]

A construction of the 2nd Pohoata-Dao-Moses circle is given at X(399), in connection with the work of Cosmin Pohoata on the Parry reflection point. The circle passes through the points X(13), X(16), X(110), X(399), X(1338), X(2381), X(5610), X(5611), X(5612), X(5613), and the 2nd Pohoata-Dao-Moses circle pass through X(14), X(15), X(110), X(399), X(1337), X(2380), X(5614), X(5615), X(5616), X(5617).     (Dao Thanh Oai and Peter Moses, Nov., 2013)

X(5608) lies on this line: {526, 5607}