Trigonometry in Lorentz space

Inthiswork,trigonometryisstudiedin L2 and L3. Trigonometricproperties,geodesic hyperbolic triangles and their properties has been given in Lorentz space. Also, the concept of angle between spacelike and timelike vectors is studied. On the other hand, the inner product between spacelike and timelike vectors is investigated with Lorentz space trigonometric theorems, Lorentz space angle concept and rotation matrix. Finally, the geodesic triangles on the hyperbolic sphere and their properties are examined and the cosine, sine, ceva, menelaus theorems are studied on the hyperbolic triangle. With the help of these, opposite of the hyperbolic triangular angle bisector theorem and the theorem of Ceva are found, and the theorems about the angle bisector and the median are given.