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A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.
How propaganda undermines democracy and why we need to pay attention Our democracy today is fraught with political campaigns, lobbyists, liberal media, and Fox News commentators, all using language to influence the way we think and reason about public issues. Even so, many of us believe that propaganda and manipulation aren't problems for us—not in the way they were for the totalitarian societies of the mid-twentieth century. In How Propaganda Works, Jason Stanley demonstrates that more attention needs to be paid. He examines how propaganda operates subtly, how it undermines democracy—particularly the ideals of democratic deliberation and equality—and how it has damaged democracies of ...
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