By
Bennett Lewis
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The centroid of a triangle is the point where the medians of the triangle intersect. |
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The orthocenter of a triangle is the point where the altitudes of the triangle intersect. |
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The circumcenter of a triangle is the point where the perpendicular bisectors of a triangle intersect. |
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The circumcircle of a triangle is the circle that passes through the three vertices of the triangle. |
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The incenter of a triangle is the point where the angle bisectors of the triangle meet. |
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The incircle of a triangle is the circle that lies tangent to all three sides of the triangle. It is also the largest circle that will fit inside the triangle. |
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The medial triangle is the triangle formed by connecting the midpoints of each side of a triangle. |
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Orthocenter, Mid-segment Triangle The orthocenter, mid-segment triangle is the triangle constructed by finding the orthocenter of the triangle, constructing segments between the orthocenter and each vertices and connecting the midpoints of the segments constructed. |
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The orthic triangle is the triangle constructed by joining the feet of the altitudes of the triangle. |
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Given a point and a triangle, the pedal triangle is the triangle whose vertices are the feet of the perpendiculars from the point to the sides of the given triangle. |
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Golden Section The golden section is a line segment divided according to the golden ratio: The total length AM+ MB is to the length of the longer segment AM as the length of AM is to the length of the shorter segment MB.
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