According to Einstein and his followers space time geometry is gravity. Gravity is the manifestation of distortion of geometry of space due to presence of matter. The heart of these physical and cosmological phenomena is the line element or metric. This metric generated the field equation of Einstein general relative theory. Space time curvature, geodetic effect, frame tracking, gravitational lenses, gravitational red and blue shifts, block holes, dark matter, dark energy, big bang singularity, expansion of the universe and gravitational waves are the predictions of Einstein general relative theory. All these theoretical findings expect gravitational waves have been experimental test at to a very high degree of accuracy. In this work, the authors introduce an entirely new type of polar spherical triangle. The application of this triangle has been extended to Gabuzda- Wardle-Roberts superluminal motion equation and the consecution is noted