Angle trisection drawn through formula_25 to the semicircle, resulting in the intersection formula_28. The angle formula_48 generated by formula_49 and formula_50 is the angle formula_51 sought. Another means to trisect an arbitrary angle by a "small" step outside the Greek framework is via a ruler with two marks a set distance apart. The next construction is originally due to Archimedes, called a "Neusis construction", i.e., that uses tools other than an "un-marked" straightedge. The diagrams we use show this construction for an acute angle, but it indeed works for any angle up to 180 degrees. This requires three facts from geometry (at
Less-is-better effect of top-quality candy than a box containing those 24 pieces plus 16 lower-quality pieces. If a manufacturer has developed two versions of a product and wishes to know which will be more popular with consumers and should therefore be put on the market, presenting them jointly to the public will enable consumers to evaluate differences between them, while presenting them separately will better predict the consumer's actual experience of the product when and if it is actually put on sale. Less-is-better effect The less-is-better effect is a type of preference reversal that occurs when the lesser or smaller alternative of