Tangency and Important Tangential Exercises

Professional Engineer & PE Exam Forum

Help Support Professional Engineer & PE Exam Forum:

This site may earn a commission from merchant affiliate links, including eBay, Amazon, and others.

usmananas

Member
Joined
Mar 16, 2016
Messages
9
Reaction score
0
Fig a :


Given an acute angle, it is required to obtain a circle of any given radius tangential to both its arms.
Method: Suppose the circle is to be drawn on the given dimension. Obtain lines known as loci parallel to diagonal and base lines.(given distance on figure is 3/4"). These lines intersect each other and provide a point where u can draw a circle tangent to both arms.

Fig b:


Given a circle, it is required to obtain circles tangential to its circumference.
Method : Draw three circles at given dimensions. Draw parallel locus (loci drawn in previous method) lines. Draw parallel circles at there tangents points.
 

Fig c :


Tangency  to  parallel circles tangents.
Method : Draw three parallel lines as drawn on the fig c. (Both horizontal and vertical lines.) Here you will get the circles center points. These circle will intersect each other at there tangency.

Fig d :


Given two circle which are not tangential , it is required to obtain two other of given rad. tangential to them externally.
Method : Draw horizontal and vertical center lines. Draw two circles with given length radius. Draw two circles arc respectively. then you will get small circle center points.
for further detail and figure detail click here

 
Back
Top