Descartes parabola and the traditional parabola. A reconstruction of a historical method with the help of the "mathematica" program

Descartes parabola and the traditional parabola. A reconstruction of a historical method with the help of the "mathematica" program

Vigneswaran Theivendram

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-3-6391-4653-0
Объём: 96 страниц
Масса: 166 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

This study concentrates on Descartes geometry, especially for the Descartes parabola and traditional parabola. Who is Descartes? Rene Descartes (1596-1650) was a 17th century French philosopher, mathematician and a man of science whose work, La geometrie, includes his application of algebra to geometry from which we now have Cartesian geometry. First, this study concentrates on the Descartes’ studies of Pappus’ problem. Also I explicitly explain how Descartes’ found the traditional parabola and Descartes’ parabola, and how he used the four five lines Pappus’ problems. Also this study concentrates on the Descartes’ ‘’construction’’ (that means geometrical solution) of equations by using Descartes’ parabola and the traditional parabola. I clearly explain Descartes’ construction of third and fourth degree equations by circle and traditional parabola, and the construction for fifth and sixth degree equations by using circle and Descartes’ parabola. Finally, I also explain the construction of higher degree equations. Furthermore I give three numerical examples by solving them with the mathematica program, which was designed by Stephen wolfram.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

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