The real nondegenerate quadrics (1), (3), (4), (7), and (8) are shown in Figures 1--3. The surfaces with equations (1) --(6) are central quadrics; in the form given, the center is at the origin. The quantities a, b, c are the semiaxes. The volume of the ellipsoid with semiaxes a, b, c is . When two of the semiaxes are the same, we can also write the area of the ellipsoid in closed form...
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When two of the semiaxes are the same, we can also write the area of the ellipsoid in closed form. Suppose b=c, so the ellipsoid x /a +(y +z )/b =1 is the surface of revolution obtained by rotating the ellipse x /a +y /b =1 around the x-axis. Its area is The two quantities are equal, but only one avoids complex numbers, depending on whether a>b or ab, we have a prolate spheroid, that is, an ellipse rotated around its major axis; when a0 opposite hyperboloid of one sheet 3 4
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Persuasive Speeches Persuasive speeches are also my favorite because I am pretty good at getting people to believe and understand what I have to say.	2 / 338
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