foundations of algebraic geometry


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Introduction
Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two branches of mathe..
Cartesion System (History)
Introduction - Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two bra..
Summary
In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real number..
Introduction
Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two branches of ..
Cartesion System
Introduction - Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two bra..
Introduction
Homogeneous Equation : A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to ..
Postulates
A statement whose validity is accepted without proof is called a postulate. In addition to point, line plane etc, it is also necessary to start with certain other basic statements that are accepted without proof. In geometry these are called postulates. A postulate, though itself is an u..
Homogeneous equation
A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to n. Thus, is a homogeneous equation of n t h degree in x and y. C..
Summary
In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then If A(x 1 ,..
Algebra
- Geometry is an interesting area of Math that requires a proper understanding of the basics. The fundamentals of Triangles, rectangles and rectilinear figures need to be properly taught in order to understand higher concepts. Learn Geometry online with TutorVista's team of high..
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