Эллипсоид. Неравносторонний эллипсоид

Эллипсоид - одна из геометрических фигур, в которой поверхность напоминает сферу, в которой сечение похоже на эллипс.

Формула для обычного эллипсоида в 3-х мерной системе:

где a, b, c - радиусы по осям x, y, z соответственно..

Объем обычного эллипсоида можно посчитать по данной формуле:

А вот площадь поверхности не равностороннего эллипсоида сложно представить с помощью простых функций. Математик из Дании, Кнуд Томсен, предложил следующий вариант вычисления:

где p=1.6075




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Эллипсоид
 Объем:
 Площадь поверхности ( приблизительно):