Self Study: COGO Fitting Curves

Problem (1)

Given the following triangle...

 Part (a)

What is the diameter of the curve tangent to all three sides of the triangle?

Part (b)

What is the diameter of the circle passing through the triangles' verticies?

 Solution

Problem (2)

An tangent reverse curve will be fit to the lines shown. Both curves will have the same radius albeit in opposite directions. What is the radius?

Solution

Problem (3)

The owner of the parent parcel wants to partition off a smaller parcel. The smaller parcel will share three corners with the parent parcel (points B, A, and G). The northeasterly boundary is to be a 250.00 ft radius circular arc centered on a well head. Lines GH and CB are both to be tangent to the arc.

The surveyor made the measurements shown on the diagram. Point A's coordinates were fixed as 200.00'N and 500.00'E and the direction of line AB was assumed to be S 87°50'35" E.

Using the intended geometric relationships and surveyor's measurements, determine the following:

Part (a)

Bearing and length of line GH.

Part (b)

Bearing and length of line CB.

Part (c)

Arc length CH.

Solution