Supporting Evidences To the Exact Value from the Works Of Hippocrates Of Chios, Alfred S. Posamentier And Ingmar Lehmann
Autor: | Jagannadha Reddy |
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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 |
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