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An example of an ambiguous image would be two curving lines intersecting at a point. This junction would be perceived the same way as the "X", where the intersection is seen as the lines crossing rather than turning away from each other. Illusions of good continuation are often used by magicians to trick audiences. [10]
The intersection point falls within the first line segment if 0 ≤ t ≤ 1, and it falls within the second line segment if 0 ≤ u ≤ 1. These inequalities can be tested without the need for division, allowing rapid determination of the existence of any line segment intersection before calculating its exact point.
Ambiguity is the type of meaning in which a phrase, statement, or resolution is not explicitly defined, making for several interpretations; others describe it as a concept or statement that has no real reference.
Another explanation is the "framing-effects hypothesis", which says that the difference in the separation or gap of the horizontal lines from the framing converging lines may determine, or at least contribute to the magnitude of the distortion. The Ponzo illusion is one possible explanation of the Moon illusion, as suggested by Ponzo in 1912. [3]
Seven Types of Ambiguity ushered in New Criticism in the United States. The book is a guide to a style of literary criticism practiced by Empson. An ambiguity is represented as a puzzle to Empson. We have ambiguity when "alternative views might be taken without sheer misreading." Empson reads poetry as an exploration of conflicts within the author.
Green line has two intersections. Yellow line lies tangent to the cylinder, so has infinitely many points of intersection. Line-cylinder intersection is the calculation of any points of intersection, given an analytic geometry description of a line and a cylinder in 3d space. An arbitrary line and cylinder may have no intersection at all.
The two lines intersect at the point (2, 3), which is the unique solution for the system of equations. NB: A minus sign is missing on the red curve in the figure Source
[7] If a hexagon has an inscribed conic, then by Brianchon's theorem its principal diagonals are concurrent (as in the above image). Concurrent lines arise in the dual of Pappus's hexagon theorem. For each side of a cyclic hexagon, extend the adjacent sides to their intersection, forming a triangle exterior to the given side.