Vanishing point of multipoint perspective, and historian Kirsti Andersen compiled these observations. She notes, in terms of projective geometry, the vanishing point is the image of the point at infinity associated with , as the sightline from through the vanishing point is parallel to . As a vanishing point originates in a line, so a vanishing line originates in a plane that is not parallel to the picture . Given the eye point , and the plane parallel to and lying on , then the vanishing line of is . For example, when is the ground plane and is the horizon plane,
Morris–Putnam point Morris–Putnam point The Morris–Putnam point (MPP or “Profit Horizon” ) is the point within a break even analysis where an algorithmic trend line indicates break even will be exceeded by n percent. Economists and Financial analysts use the Morris–Putnam point to predict the impact of commodities costs on juice and heavy metals profits. Meteorologists use "The Point" to forecast dew points and localized wind gusts. Sales people use the point to rationalize the addition of ‘fees’ to previously agreed upon prices because when modeled skillfully, the Morris–Putnam point almost always predicts future success. For example, if a citrus farm produces