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,
Hope (given name) in Church Latin and her name is translated differently in other languages. Faith, Hope and Charity, the three theological virtues, are names traditionally given to triplet girls, just as Faith and Hope remain common names for twin girls. There were 40 sets of twins named Faith and Hope born in the United States in 2009, the second most common name combination for twin girls. One example were the American triplets Faith, Hope and Charity Cardwell, who were born in 1899 in Texas and were recognized in 1994 by the Guinness Book of World Records as the world's longest lived triplets.