2-fold and 3-fold mixing why 3-dot-type counterexamples are by de la Rue T.

By de la Rue T.

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To begin with it has no penumbra. A point source is one that is very much smaller than the object it illuminates. A street lamp or a candle flame both act as point sources for objects that are at some distance from them. The difference between such sources and the Sun is that rays of light from the lamp or candle effectively diverge from a single point, whereas those from the Sun come from several points spread across the solar disc. Consequently, the edge of a shadow cast by a point source is always sharp no matter how far from an object it is formed.

Antisolar point clues to depth, enabling us to discern the shape and form of otherwise featureless snow-covered landscapes and clouds. Despite the fact that Galileo’s telescope was not powerful enough to reveal precise details of lunar features, Galileo deduced that the Moon’s surface was like the Earth’s surface, mountainous and uneven, from the elongated lunar shadows that he saw through the telescope. It hardly needs saying that all shadows point away from the source of light. In the case of solar shadows this direction is known as the antisolar point.

A crests acts like a converging lens, and concentrates light forming a small bright patch on the surface below. A trough has the opposite effect: it spreads light so that the surface below is faintly illuminated. within the shadow are less brightly illuminated than those in direct sunlight and this provides the contrast which is necessary if you are to see a shadow. On the other hand, the brightness of turbid water makes it difficult to see reflections in it. 12 Shadows in water. The streaks of light that stream out from the shadow of the hat in this photograph are due to shafts of light within the pool of water in which they were seen.

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