Hy easyz!
So it was an ASCII spiral. 
Here's a small code that makes a quarter circle.I knopw you wanted a spiral, but a spiral is just a circle whit variable radius.You can change the program to fit your needs.
The idea is that the user gives the radius and then the program makes a quarter of a circle of R points.For example, if R=10, then the program will make a quarter circle of 10 points.
The coordinates are calculated in cartezian
 system, not polar, because polar isn't suited.And the x coordinates are always 1 apart.That means that for R=10, the x coordinates are 0,1,2,3,4,5,6,7,8,9.So they are equally distanced.But the y ones are not of course.Here's the code:
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 | #include <iostream>
#include <cmath>
using namespace std;
int main()
{
  int R=0; // the radius
  int i=0;
  int j=0;
  int yc[100]; // the y coordinates, the x coordinates are i as it increments
  int dy[100]; // the distance between the y coordinates, to know how many endl are between them
  cout<<"Introduce the radius of the spiral"<<endl;
  cin>>R;
  dy[0]=0; // the first difference was 0
  cout<<endl<<"The y coordinates"<<endl; // just to see the values calculated
  for(i=0;i<=R;i++) // calculating y coordinates, as you can see i represents x
  {
    yc[i] = (int) sqrt( R*R - i*i );
    cout<<yc[i]<<",";
  }
  cout<<endl;
  cout<<"The dy coordinates"<<endl; // to see the values calculated
  for(i=0;i<R;i++) // calculating the difference between 2 consecutive y coordinates
  {
    dy[i+1] = yc[i] - yc[i+1];
    cout<<dy[i]<<",";
  }
  cout<<endl;
  for(i=0;i<R;i++) // displaying the quarter circle
  {
    for(j=0;j<=i;j++) // adding the spaces before the *
    {
      cout<<"   "; // there were more spaces added because one doesn't seem enough
    }
    cout<<"*"; // ading the *
    for(j=0;j<=dy[i];j++) // adding the empty lines to create a hight
    {
      cout<<endl;
    }
  }
  return 0;
}
 | 
You probably will need to adjust the number of empty spaces and of new lines(end of lines) you display.
For example if you want 2 more empty spaces just ad 2 to i.Like this:
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 | for(j=0;j<=i + 2;j++) // adding the spaces before the *
{
   cout<<"   "; // there were more spaces added because one doesn't seem enough
}
 | 
The program does have some errors sometimes, maybe those aren't errors but are related to the fact that the screen is limited.For small R it work pretty well.
Anyway, why such a weird program??What do you need for??
Console graphics is very limited.Don't waste your time on it.Instead, use that time to learn a GUI library such WxWidgets, FLTK, gtkmm, even QT.That is if you don't already nkow one and your are doing this program as an experiment.