2: The Complex Plane
To study geometry using Klein's Erlangen Program, we need to define a space and a group of transformations of the space. Our space will be the complex plane.
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- 2.3: Division and Angle Measure
- The division of the complex number z by w ≠ 0, denoted z/w, is the complex number u that satisfies the equation z = w ⋅ u. In practice, division of complex numbers is not a guessing game, but can be done by multiplying the top and bottom of the quotient by the conjugate of the bottom expression.