Euler line the Euler line is parallel to an acute triangle's side "BC" if and only if formula_43 The locus of the centroids of equilateral triangles inscribed in a given triangle is formed by two lines perpendicular to the given triangle's Euler line. In a right triangle, the Euler line coincides with the median to the hypotenuse—that is, it goes through both the right-angled vertex and the midpoint of the side opposite that vertex. This is because the right triangle's orthocenter, the intersection of its altitudes, falls on the right-angled vertex while its circumcenter, the intersection of its perpendicular bisectors of sides,
Jack (given name) of the word is linked to the name being used as a by-name for a man. Jack (given name) Jack is a male given name. In recent decades, Jack has become one of the most common names for boys in many English-speaking countries. While Jack is now a proper name in its own right, in English; it was traditionally used as a diminutive form of John. It can also be used as a diminutive for: Jacob, Jason, Jonathan, Johann, Johannes, Joachim and sometimes for James, from its French form Jacques. It is also used as a female given name (often