TO SUM & TO MULTIPLY

To sum & to multiply image To sum & to multiply draw
   
  Information

The surface associated with the operation of the sum of numbers z= x+y is the plane determined by the points (0,0,0), (1,0,1) and (0,1,1). The surface associated with the operation resulting from numbers z=x·y is the hyperbolic paraboloid.

Question

What is the geometric meaning of
x·y=y·x?

Answer  Solution

Hyperbolic paraboloids

Index

Catenoid & catenary


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