Schnittpunkte

This cache lets you explore one of the loveliest spots in Aachen. It is guiding you on several stages through two parks worth seeing.

Parking is possible at the start coordinates along the road. You can also take bus line 2 until stop Schillerstraße or line 53 until bus stop Habsburgerallee. You start at the given coordinates. From here, you can see two stone columns, which mark the entrance to the first "green oasis". Memorise the coordinates of the columns.
Enter the park and head in westward direction. You will come to a road which has a strip of green in its middle. On this green, a small house can be seen. Memorise the coordinates of the house.
Now look for three "red-brown missionaries". Once you have arrived there, go a little bit further and then go in westward direction towards a small circular shaped "hill" with white border. Find the intersection point of all diameters and memorise its coordinates.
From this point, you may see two other stone columns which mark the entrance to an "imperial garden". Stroll though the park on the straight way until you reach some waters. Walk around it clockwise until you cross an arch. To your left, you will find a pavilion. Memorise its coordinates.

Now you have gathered four coordinates and you are able to calculate three additional coordinates. Therefor, construct a straight line using two of the four coordinates and construct a second line using the remaining two coordinates. The intersection point of the two lines is one of the three additional coordinates you have to calculate. Repeat the procedure twice, but each time choose different coordinates for the two lines.

After this, you have calculated three additional coordinates. At two of these coordinates, you will find hints useful for opening the cache; at the third coordinate, you will find the cache itself. Which coordinate is which, you have to determine by yourselves. Go to one of the intersection points. Now, there are three cases:

1. You are standing on a broad road. 10 metres to the west, you can spot a hill. On top of this hill, you see several arches. A = number of arches.
2. You are standing on a small road. If you follow the road 40 metres to the east, you will reach a junction. On your left hand side, an approximately 140cm long single upright metallic object is hidden in the bushes. At the support foot 50 cm above ground, there is a two digit number. BC = this number
3. You are standing in the middle of trees and bushes. Close to you, there is a handrail. The box is inside the handrail. To open the lock use the code ABC. Please lock the cache and push it back far into the handrail, when you leave.

Hint: If you want to omit calculating the lines and intersection points, you may want to print a map of the two "green oasis" and draw everything into the map.