Saccheri–Legendre theorem Saccheri–Legendre theorem In absolute geometry, the Saccheri–Legendre theorem states that the sum of the angles in a triangle is at most 180°. Absolute geometry is the geometry obtained from assuming all the axioms that lead to Euclidean geometry with the exception of the axiom that is equivalent to the parallel postulate of Euclid. The theorem is named after Giovanni Girolamo Saccheri and Adrien-Marie Legendre. The existence of at least one triangle with angle sum of 180 degrees in absolute geometry implies Euclid's parallel postulate. Similarly, the existence of at least one triangle with angle sum of less than 180 degrees
Less Than Kin Vickers, to get back to the United States, decides to impersonate him. He is taken to the family group upon his arrival in New York City and soon finds himself possessed of the encumbrances and debts left by the former youth, which include a wife and three children. He is left a fortune, but discloses his identity and flees to Canada. En route he marries the ward of his benefactor, who had helped him escape and had hid in his automobile. Eventually he is cleared of all guilt and has a happy ending. Less Than Kin Less Than Kin is