Heya, most questions im ok with, but i think the spanish is a bit for a barrier to me for this one
Could anyone give me a transation? that would be awesome
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Spanish maths translation! (español) watch
- Thread Starter
- 27-01-2015 17:59
- 28-01-2015 15:10
3.18 – In , we consider a straight line , a half-plane whose boundary is the line , and a shape contained in the half-plane . The shape of revolution of around consists of the shape obtained by performing on all rotations of an arbitrary angle around the same axis .
Considering the axis as line of revolution, show that:
(a) the shape of revolution of a line parallel to is a cylinder.
(b) the shape of revolution of a line secant to is a cone.
(c) the shape of revolution of the half-parabola which cuts the axis perpendicularly at its vertex is a paraboloid.
(d) the shape of revolution of the half-ellipse which touches perpendicularly is an ellipsoid.
(e) the shape of revolution of the half-branch of the hyperbola which touches perpendicularly is one leaf of an elliptic hyperboloid (of two leaves).
(f) the shape of revolution of a branch of the hyperbola with axis perpendicular to is an hyperboloid of one leaf.