Construction of Circle

To construct a circle with a given radius and touching the two given intersecting lines

1. Draw two lines AB and AC at some angle say α. 
2. Draw bisector of ∠BAC. 
3. Construct a line parallel to line AB at a distance R (radius of the circle to be constructed(http://mathematicsbhilai.blogspot.in/2012/08/construction-of-parallel-line.html). Let this line intersect the angle bisector at point O. 
4. Draw a circle with center O and Radius R. This is the required circle.

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Tangent Circles - 2

Given a circle with radius R. The circle is tangent to a line ‘a’ at point M. A number r is given. Construct a circle with radius r tangent to both the given circle and the given line ‘a’
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Tangent Circles - I

Given a circle with radius r. The circle is tangent to a line ‘a’ at point M. There is a point N on the circle. Construct a circle which is tangent to given circle at N and the line ‘a’
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Sangaku - 3

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Square and Circle - I

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Secant and Tangent

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Circle Vocabulary

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Tangents Inclined at a given Angle

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Tangent to a circle at a given point

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Construction - Tangents to a Circle

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Alternate Segment Theorem

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Derivative of a Function

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