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,
Shannon (given name) Shannon (given name) Shannon ("wise river") is an Irish name, Anglicised from Sionainn. Alternative spellings include Shannen, Shanon, Shannan, Seanan, and Siannon. The variant Shanna is an Anglicisation of "Sionna" ("possessor of wisdom"). "Sionainn" derives from the Irish name "Abha na tSionainn" for the River Shannon. Because the suffix "ain" indicates a diminutive in Irish, the name is sometimes mistranslated as "little wise one". The name "Sionainn" alludes to Sionna, a goddess in Irish mythology whose name means "possessor of wisdom". She is the namesake and matron of Sionainn, the River Shannon. Sionainn is the longest river in Ireland. Sionainn