CIRCLES INSCRIBED OUTSIDE AND INSIDE A TRIANGLE
Keywords:
Circle, inscribed circle, circumscribed circle, triangle, radius, center, area, perimeter.Abstract
Circles inscribed inside and outside a triangle have been a topic of interest for mathematicians for centuries. In this paper, we will explore the properties of these circles and their relationship to the sides and angles of the triangle. We will also discuss the methods used to calculate the radius and center of these circles and their applications in various fields.
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References
Johnson, R. (1929). The Theory of Circles. Dover Publications.
Kazarinoff, D. (2004). Geometry of the Circumcircle. American Mathematical Society.
Lee, J. (2013). Inscribed and Circumscribed Circles. Mathematics Magazine, 86(3), 219-229.
Coxeter, H. S. M. (1969). Introduction to Geometry (2nd ed.). New York: John Wiley & Sons.
O'Connor, J. J., & Robertson, E. F. (2003). Circles in Triangles. Retrieved from https://www-history.mcs.st-andrews.ac.uk/HistTopics/Circles_in_triangles
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