### Multiplication and division of complex numbers in trigonometric form

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We then invented a new number indicated by the letter i with the property that i 2 = -1. This number does not fit on the Euclidean line where the real numbers have accommodated leaving no room for any other numbers. Mathematicians satisfied the desire to geometrically represent the multiples of i by choosing a Euclidean plane, with a straight line to represent the reals and the perpendicular line that goes through zero to represent the pure imaginary.
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