Analytic geometry

Analytic geometry Analytic geometry is a branch of mathematics in which geometric investigations are carried out by algebraic procedures. Even though originally designed to investigate problems in plane geometry, analytic geometry can also be used to explore spaces of higher dimensions. Plane analytic geometry includes the study of conic sections. Analytic geometry of three dimensions is called solid analytic geometry and includes the study of quadric surfaces. In analytic geometry, positions of points are specified …

…and cylindrical coordinates. Leonhard Euler established the theory of surfaces, which he represented by the equation z = f(x,y). By analyzing the basic forms of the general equation, Euler was able to identify seven distinct cases: cone, cylinder, ellipsoid, hyperbolic, parabolic cylinder, and hyperbolic paraboloid. Bibliography: Hollingdale, Stuart, The Makers of Mathematics , (1975). Leithold, Louis, Before Calculus, (1985). Riddle, D. F., Analytic Geometry, 4th edition, (1987). Struk, J. Dirk, A Concise History of Mathematics, 4th revised edition, (1987).