Supporting Evidences To the Exact  Value from the Works Of Hippocrates Of Chios, Alfred S. Posamentier And Ingmar Lehmann

Autor: Jagannadha Reddy
Rok vydání: 2014
Předmět:
Zdroj: IOSR Journal of Mathematics. 10:09-12
ISSN: 2278-5728
2319-765X
DOI: 10.9790/5728-10220912
Popis: Till very recently we believed 3.1415926… was the final value of .And no body thought exact  value would be seen in future. One drawback with 3.1415926…is, that it is not derived from any line-segment of the circle. In fact, 3.1415926… is derived from the line-segment of the inscribed/ circumscribed polygon in and about circle, respectively. Surprisingly, when any line-segment of the circle is involved two things happened: they are 1. Exact  value is derived and 2 that exact value differs from 3.1415926… from its 3 rd decimal onwards, being 3.1464466… Two geometrical constructions of Hippocrates of Chios, Greece (450 B.C.) and Prof. Alfred S. Posamentier of New York, USA, and Prof. Ingmar Lehmann of Berlin, Germany, are the supporting evidences of the new  value. They are detailed below.
Databáze: OpenAIRE