Vanishing point is below the horizon line, its vanishing lines angle up to the horizon line. If the object is above, they slope down. All vanishing lines end at the horizon line. 1. Projections of two sets of parallel lines lying in some plane appear to converge, i.e. the vanishing point associated with that pair, on a horizon line, or vanishing line formed by the intersection of the image plane with the plane parallel to and passing through the pinhole. Proof: Consider the ground plane , as which is, for the sake of simplicity, orthogonal to the image plane. Also, consider a
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