Algebraic curves are the curves considered in algebraic geometry. Specific mathematical fields include geometry and analytical mechanics. He has made contributions to Riemannian geometry and geometric topology. Questions require knowledge of certain algebra, geometry, and arithmetic. Vector images resulted from mathematical geometry (vector). This advanced metrology resulted in the creation of arithmetic, geometry, and algebra. Chemical structure refers to both molecular geometry and electronic structure. Schemes have become the basic objects of study for practitioners of modern algebraic geometry. A version of Euler characteristic used in algebraic geometry is as follows. Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Iranians were among the first to use mathematics, geometry and astronomy in architecture. Points are considered fundamental objects in Euclidean geometry. Newton came to calculus as part of his investigations in physics and geometry. Projective geometry is less restrictive than either Euclidean geometry or affine geometry. It is one of the basic shapes in geometry.