What is the Cartesian formula of the heart line? In the horizontal direction, r=a (1-cosθ) or r = a (1+cos θ) (a >; 0) or vertical direction: r=a (1-sinθ) or r = a (1+sinθ) (a > 0)。

Descartes' achievements as a mathematician are best known. 1637, he invented the coordinate system, one of the basic tools of modern mathematics, and combined geometry with algebra to create analytic geometry. At the same time, he also derived geometric formulas such as Descartes theorem. It is worth mentioning that the legendary famous heart-shaped equation was also put forward by Descartes.

Cartesian coordinate system

Cartesian coordinate system is a general term for rectangular coordinate system and oblique coordinate system. Two number axes intersecting at the origin form a plane affine coordinate system. If the units of measurement on the two axes are equal, this affine coordinate system is called Cartesian coordinate system. A Cartesian coordinate system with two vertical axes is called Cartesian Cartesian coordinate system, otherwise it is called Cartesian oblique coordinate system.

The generalization of affine coordinate system and Cartesian coordinate system to space: the number axis where three non-* * planes intersect at the origin constitutes the affine coordinate system of space. An affine coordinate system with the same unit of measurement on three number axes is called a spatial Cartesian coordinate system. Cartesian coordinate system with three mutually perpendicular number axes is called spatial Cartesian Cartesian coordinate system, otherwise it is called spatial Cartesian oblique coordinate system.

Refer to the above contents: Baidu Encyclopedia-Cartesian Coordinate System