In non-Euclidean geometry , it is more common to talk about geodesics than (straight) lines. A geodesic is the shortest path between two points in a given geometry. In physics this may be interpreted as the path that a particle follows if no force is applied to it. In non-Euclidean geometry ( elliptic or hyperbolic geometry ) the three Euclidean properties mentioned above are not equivalent and only the second one,(Line m is in the same plane as line l but does not intersect l ) since it involves no measurements is useful in non-Euclidean geometries. In general geometry the three properties above give three different types of curves, equidistant curves , parallel geodesics and geodesics sharing a common perpendicular , respectively.
The sensational physical manifestations of Alison and Elizabeth Ward are also strategically utilized to arouse people’s expectations for similar experiences. The sisters have been brought up before the entire congregation to describe and display their mysterious experiences, thus giving the people a sense that they are having a close encounter with the divine. Peer pressure is brought to bear as Elizabeth tells prospects, “After standing there so long watching those people being touched by God, I guess my spirit got hungry.” When she finally threw caution to the wind, she said, “The shaking went on for about three days….I couldn’t eat and I was shaking in my sleep. My family had to feed me through a straw. My whole body was convulsing for three days.” 31 Her sister, Alison, says she shakes in the sanctuary because “it feels good.” 32