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Learn about the properties and formulas of tangent circles, which are circles that touch each other or a line. Find out how to solve Apollonius' problem, the Soddy circles, the nine-point circle, and more.
In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency: internal and external.
Learn how to identify and sketch internal and external tangents of two circles. See definitions, examples, diagrams and solutions with common tangents.
9 maj 2021 · 3 circles with radii 66, 77, and 88 externally tangent to each other, find the radius of the circle internally tangent to the other circles.
An explanation of internal and external common tangent circles and lines, how the lines of centers make a 90° angle with the tangent line, and a theorem abou...
This page shows how to draw one of the two possible internal tangents common to two given circles with compass and straightedge or ruler. This construction assumes you are already familiar with Constructing the Perpendicular Bisector of a Line Segment.
Two circles are internally tangent if one circle is inside the other and they touch at a single point. This occurs when the center of one circle lies within the other. If the radii of the two circles are \( r_1 \) and \( r_2 \) and the distance between their centers is \( d \), the condition for internal tangency is: \[ d = |r_1 - r_2| \]
