0
We assume that the ambient space is equipped with the standard Cartesian coordinate system and specify points by their Cartesian coordinates.
The Cartesian coordinates of a point in the plane are a pair (x,y).
The homogeneous coordinates of a point in the plane are a triple (x,y,w) with w!=0. The Cartesian coordinates of a point with homogeneous coordinates (x,y,w) are (x/w,y/w).
Remark: We notice that the homogeneous coordinates of a point are not unique. Two triples that are multiples of each other specify the same point.
The Cartesian coordinates of a point are of type double in the floating point kernel and of type rational in the rational kernel. The homogeneous coordinates of a point in the rational kernel are of type integer. Points in the floating point kernel are stored by their Cartesian coordinates.
For points in the rational kernel it is more efficient to store them by their homogeneous coordinates, i.e., to use the same denominator for x- and y-coordinate.
For compatibility also points in the floating point kernel have homogeneous coordinates (x,y,1.0). These homogeneous coordinates are of type double.
Add your answer:
Earn +20 pts
Who developed the cartesian coordinate system?
Rene Descartes.
Can Three-dimensional figures be located on a Cartesian coordinate system?
true
What are the examples Cartesian coordinate system?
please tell the uses of co ordinate system
What the other name of rectangular coordinate system?
The other name for the rectangular coordinate system is the Cartesian coordinate system. You can remember it because cartography is the study of maps, which are generally rectangular.
The vertical number line in a Cartesian coordinate system is called the vertical?
axis
Who discovered cartesian coordinate system?
The Cartesian Coordinate System was discovered by Rene Descartes.
What is the cartesian coordinate system used for?
Cartesian coordinate system is used for map making, GPA for cars.
The vertical axis in a Cartesian coordinate system?
The z axis in the vertical axis in the Cartesian Coordinate System.
When was the Cartesian Coordinate System invented?
The Cartesian coordinate system was invented in the 17th century. The idea of this system was developed in 1637.
Who was named after cartesian coordinate system?
I am not sure that anyone was named AFTER the Cartesian coordinate system. Malcolm X, possibly!
What 3-D is in relation to the Cartesian coordinate system?
The Cartesian coordinate system can be used in 3 or more dimensions.
What is other name of rectangular coordinate system?
Cartesian coordinate system.
How do you calculate cartesian coordinate system?
cartesian coordinate isn't a system. the graphs you put on the cartesian coordinate plane can be systems. these graphs can be anything you want them to be. and they are calculate different every time. the thing to remember about cartesian coordinate planes is the you plot the points of (x,y)
Who introduced the cartesian coordinate syatem?
It was the French mathematician Rene Descartes who devised the Cartesian coordinate system
What is another name for a coordinate plane?
Cartesian coordinate system
What is the x-coordinate of a Cartesian coordinate system called?
It is the abscissa.
What does a Cartesian Coordinate System do?
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates. These coordinate system can be used to provide geometric interpretations for many branches of mathematics.
