# Tangency of three circles

Not what you're looking for?

Tangency of three circles

B elow is how I created the sketch shown in the other attachment:

1. Create two tangent circles with centers A and B. For convenience sake, let circle A have the larger radius.

2. Find the midpoint of segment AB. Call it M.

3. Draw the circle with center M passing through A and B. Label this circle's lower intersection point with circle A as F and that with circle B as G.

4. Draw the circle whose center is F that passes through G and the circle whose center is G that passes through F -- the classic Euclidean construction of an equilateral triangle.

5. Label the lower intersection point of circles F and G as P. Connect P to A and label the intersection of segment PA and circle A as X. Connect P to B and label the intersection of segment PB and circle B as Y.

The circle whose center is P that passes through X and Y appears to be tangent to the original circles A and B. Please prove why this is

See attachment for sketch.

##### Purchase this Solution

##### Solution Summary

This solution is comprised of a detailed explanation for finding the solution of Tangency of three circles. It contains step-by-step explanation for finding the solution of the Tangency of three circles. Solution contains detailed step-by-step explanation.

###### Education

- BSc, Manipur University
- MSc, Kanpur University

###### Recent Feedback

- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.