There are several causes of dry mouth: 1  Effects of certain medications. 2  Side effects of certain medical conditions, for example SjÃ¶gren's syndrome, and infections. 3  Side effect of certain medical treatments.  Nerve 1  damage. Dehydration.  Surgical removal of the salivary 1  glands. Lifestyle.
Euclidean geometry. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
In the Euclidean metric, the green path has length 6 2 â 8.49 {\displaystyle 6{\sqrt {2}}\approx 8.49} , and is the unique shortest path. In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set, but not all topologies can be generated by a metric.