Rene Descartes was the first to do anything really interesting with them. The Latin form of Descartes is Cartesius and the familiar X-Y coodinates are known as Cartesian coordiates after Descartes.
Descartes reasoning was based on deriving principles that were then the premise of deductive reasoning. Bacon, on the other hand, used empirical observations that were then used for inductive reasoning.
The term "Cartesian" originates from the name of the French philosopher and mathematician René Descartes, who lived in the 17th century. His work laid the foundations for modern philosophy and mathematics, particularly through his development of Cartesian coordinates and analytical geometry. The term is often used to describe concepts related to Descartes' ideas, such as Cartesian dualism in philosophy or Cartesian coordinates in mathematics. Descartes' emphasis on reason and systematic doubt significantly influenced Western thought.
Although Descartes is generally credited with inventing analytical geometry, several aspects had been used by the Greek mathematicians Menaechmus (4th century BC) and Apollonius of Perga (3rd century BC). Much later (11th century), the Persian mathematician Omar Khayyam, used methods which modern mathematicians consider akin to analytical geometry. In 1637 Rene Descartes published his work on the topic but it was incomplete and was in French. It took another decade or so before it was translated into Latin and some of the gaps filled that Descartes' ideas took off.
René Descartes utilized polynomials primarily in his work on coordinate geometry, which established a link between algebra and geometry. He introduced the concept of using equations to represent geometric shapes, allowing for the analysis of curves and surfaces through polynomial equations. His famous work, "La Géométrie," laid the groundwork for modern algebraic geometry, where polynomials are used to describe geometric properties and relationships. Descartes' approach also influenced the development of calculus and further studies in mathematics.
Rene Descartes was the first to do anything really interesting with them. The Latin form of Descartes is Cartesius and the familiar X-Y coodinates are known as Cartesian coordiates after Descartes.
Rene descartes
Rene Descartes was a French mathematician who created the coordinate plane on which linear equations are plotted.
It is used in diffrent ways . Buisness factories etc.
Cognito ergo sum translates to "I think, therefore I am". This Latin phase was first used in 1637 by Rene Descartes. It really was not translated into Latin until 1644. Rene Descartes first wrote the phrase in French. He felt that more people would be able to read what he had written if it was in French.
Descartes did not invent any main coordinates, but he did invent the cartesian plane. Being one of the most important aspects in coordinate geometry it is used up to this day.
Rene Descartes, who has been called the Father of Modern Philosophy, used alphabetic symbols to represent mathematical ideas. For instance, he used x to denote a variable.
Rene Descartes discoveries helped benefit mankind in many ways. His influence in mathematics is still used today in engineering, science, and every day life. His 'Meditations on First Philosophy' is a standard text at most university philosophy departments today.
Descartes reasoning was based on deriving principles that were then the premise of deductive reasoning. Bacon, on the other hand, used empirical observations that were then used for inductive reasoning.
Rene Descartes used the Cartesian coordinate system for algebraic equations. Through the system he was able to give a visual representation of the equations.
Rene Descartes invented the Cartesian coordinate system and the idea of the x-y axis. He used the coordinate system to express equations and formulas visually through slopes and lines. He created a slope for the equation, rather than the equation for a slope.
Rene Descartes and Francis Bacon brought about a complete overthrow of old methods and standards of precision in science. Descartes used principles based on intuition taken as a premise in deductive reasoning proofs while Bacon began with principles he based on empirical findings and used to inductively reduce higher truisms.