did the system include complex numbers?
Yes. Every complex number can be represented as a point in the complex plane, and can therefore be expressed by specifying the point's polar coordinates
Polar coordinate system
Every complex number can be represented as a point in the complex plane, and can therefore be expressed by specifying either the point's Cartesian coordinates (called rectangular or Cartesian form) or the point's polar coordinates (called polar form)
when are polar coordinates used in real life They are used often in navigation as the destination or direction of travel can be given as an angle and distance from the object being considered what is this system about? A two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction who was the first to come up with this system? Grégoire de Saint-Vincent and Bonaventura Cavalieri independently introduced the concepts in the mid-seventeenth century, though the actual term "polar coordinates" has been attributed to Gregorio Fontana who was the first person? A Flemish Jesuit and mathematician best remembered for his work on quadrature of the hyperbola and who was the second? An Italian mathematician and a Jesuate has he also worked in astronomy? Yes. Towards the end of his life, Cavalieri published two books on astronomy did the system also have conic sections? UNANSWERABLE
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Polar coordinate system [SEP] Complex numbers
Every complex number can be represented as a point in the complex plane, and can therefore be expressed by specifying either the point's Cartesian coordinates (called rectangular or Cartesian form) or the point's polar coordinates (called polar form). The complex number "z" can be represented in rectangular form as where "i" is the imaginary unit, or can alternatively be written in polar form (via the conversion formulae given above) as and from there as where "e" is Euler's number, which are equivalent as shown by Euler's formula. (Note that this formula, like all those involving exponentials of angles, assumes that the angle "φ" is expressed in radians.) To convert between the rectangular and polar forms of a complex number, the conversion formulae given above can be used.