Analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry.The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations.Tags: 3 Page Business Plan TemplateEssay On Literacy InfluencesHalimbawa Ng Isang Research PaperSalad Fingers ThesisEssay Of Tourism Year 2011Comparing Fast Food Restaurants Essay
This correspondence makes it possible to reformulate problems in geometry as equivalent problems in algebra, and vice versa; the methods of either subject can then be used to solve problems in the other.
For example, computers create animations for display in games and films by manipulating algebraic equations.
Descartes used equations to study Fermat did not publish his work, and Descartes deliberately made his hard to read in order to discourage “dabblers.” Their ideas gained general acceptance only through the efforts of other mathematicians in the latter half of the 17th century.
In particular, the Dutch mathematician Frans van Schooten translated Descartes’s writings from French to Latin.
Fermat independently founded analytic geometry in the 1630s by adapting Viète’s algebra to the study of geometric loci.
They moved decisively beyond Viète by using letters to represent distances that are variable instead of fixed.Yes, it's easier to use a computer program, but when you don't have power, your geometric tools will continue to work.Don't think that just because people have computers now that geometry is no longer in use.Gottfried Leibniz revolutionized mathematics at the end of the 17th century by independently demonstrating the power of calculus.Both men used coordinates to develop notations that expressed the ideas of calculus in full generality and led naturally to differentiation rules and the fundamental theorem of calculus (connecting differential and integral calculus).He used negative coordinates freely, although it was Isaac Newton who unequivocally used two (oblique) axes to divide the plane into four quadrants, as shown in the ) solved special cases of the basic problems of calculus: finding tangents and extreme points (differential calculus) and arc lengths, areas, and volumes (integral calculus).Renaissance mathematicians were led back to these problems by the needs of astronomy, optics, navigation, warfare, and commerce.You can actually carry all of your true geometric tools in your pocket if you wanted to.If you did, you could perhaps whip up an accurate drawing of some new product packaging in no time . The first set are the pure geometric tools called a straight edge and compass.It is still used to prove certain mathematical problems.And even with computers, if you need to prove that something is really true, you still have to go back to good old geometry with its geometric tools.