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,
Manezhnaya Square, Saint Petersburg Manezhnaya Square, Saint Petersburg Manezhnaya Square (, romanized "Manezhnaya ploschad") ia a square in the Tsentralny District of Saint Petersburg. In some guidebooks this square may be also named a "Riding-School Square": "riding school" is one of the variants in which and may be translated. The shape of Manezhnaya Square is close to the right-angled triangle. Its longest cathetus, the southern side of Manezhnaya Square is formed with "Italyanskaya Street", which runs parallel to Nevsky Prospect, at about hundred meters north of it. The shortest cathetus is "Karavannaya Street", which forms the eastern side of the square running from Nevky