31. It is an isometry, since evaluating along reproduces the definition of the distance given for the hyperboloid model. 32. Recounting lectures of Weierstrass, he there introduced the hyperboloid model described by " Weierstrass coordinates ". 33. The TDOA of a pulse between one side site and the central site locates the target on a hyperboloid . 34. In simple terms, with two receivers at known locations, an emitter can be located onto a hyperboloid . 35. Antoni Gaudi and Shukhov carried out experiments with hyperboloid structures practically simultaneously, but independently, in 1880 1895. 36. According to Jeremy Gray ( 1986 ), Poincar?used the hyperboloid model in his personal notes in 1880. 37. The Poincar?disk model, as well as the Klein model, are related to the hyperboloid model projectively. 38. If all eigenvalues of A are non-zero, then the solution set is an ellipsoid or a hyperboloid . 39. Some special cases of hyperboloids ( of either one or two sheets ) and elliptic paraboloids are surfaces of revolution. 40. It is often known as the " cooling tower " due to its resemblance to the hyperboloid -shaped structures.
