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- ...ABC</math>, the '''Euler line''' is a [[line]] which passes through the [[orthocenter]] <math>H</math>, [[centroid]] <math>G</math>, [[circumcenter]] <math>O</ma It turns out <math>O</math> is the orthocenter, and <math>G</math> is the centroid of <math>\triangle O_AO_BO_C</math>. Th59 KB (10,203 words) - 03:47, 30 August 2023
- ...of the segments joining the [[vertex | vertices]] of the triangle to its [[orthocenter]]. (These points are sometimes known as the [[Euler point]]s of the triang ...circumradius, and its center is the midpoint of the segment connecting the orthocenter and the circumcenter."6 KB (1,027 words) - 01:16, 19 February 2025
- The double area of <math>\triangle AGC</math> is <math>2[AGC] = GE' \cdot AC = 2[BGC] The double area of <math>\triangle DLE</math> is <math>2[DLE] = LD \cdot LE \sin \angl30 KB (5,152 words) - 00:30, 2 January 2025