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When two angles have common vertex and side but do not overlap, they are said to be adjacent angles. Some real examples are intersection of two roads, hands of a clock etc.
The Demorgans Law includes the union, intersection, and complement in mathematics. Examples are A intersection B and B union A. Those are the basic examples.
If you are talking about lay lines there are several in Scotland and Great Britian, a Scotish Castle in Edinbrugh that continues to Stonehenge. There is an intersection of these lines in New Mexico and in Central and South America. These intersection of lay lines is said to have electromagnetic forces and can be a place of healing the physical body.
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
intersection.