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![key C key C](http://mathematicaschool.com/app/img/key_C.png)
![key CE key CE](http://mathematicaschool.com/app/img/key_CE.png)
![key left key left arrow](http://mathematicaschool.com/app/img/key_left_arrow.png)
![key C key right arrow](http://mathematicaschool.com/app/img/key_right_arrow.png)
Using the following buttons you can perform operations related to points in the cartesian plane
Input of the expressions
- The coordinates of the points are inserted as in the following example by separating the coordinates with the comma.
![example of entering the coordinates of a point](http://mathematicaschool.com/wp-content/uploads/2016/10/Esempio-input-punto-1-e1489298527929.jpg)
sqrt(3),a
- There is no need to type in the round brackets to enclose the coordinates
- The coordinates of the points can contain letters because the literal calculation is also performed
- Equations (straight lines and conics) can be inserted either explicitly or implicitly
- In the equations you can not enter parameters so only the letters x and y must appear
- The product between two letters can be indicated with an asterisk symbol (*) or by leaving a space between the letters. If you write two or more letters consecutively, it is not interpreted as a product but as a “single variable (x * y = product between x and y, x y = product between x and y; xy = single variable called xy)
Examples of calculation processes performed by the software (click on the image to see the related development):
You can test different input shapes by copying the text in red in the image captions and pasting it into the data entry window that appears by clicking any of the buttons at the top of the page to perform an operation (Distance between two points, Midpoint of a segment, etc …).
Examples of Inputs
![Points coordinates](http://mathematicaschool.com/wp-content/uploads/2016/10/coppia-di-punti-e1489298551336.jpg)
Points coordinates sqrt(3),1 2sqrt(3),-1/4
![Example of entering the equation of a straight line in explicit form](http://mathematicaschool.com/wp-content/uploads/2016/10/Esempio-input-equazione-1-e1489298570353.jpg)
equation of a straight line in explicit form y=1/4x-1
![Example of data entry: equation of the straight line in an implicit form](http://mathematicaschool.com/wp-content/uploads/2016/10/Retta-implicita-1-e1489298587316.jpg)
Equation of the straight line in an implicit form
2x+sqrt(3)y-1=0
![Complete second degree equation in x y (conical)](http://mathematicaschool.com/wp-content/uploads/2016/10/Esempio-input-equazione-2-1-e1489298606635.jpg)
Equation of a conic (complete with second degree in x y)
x^2+x y-y^2-x=0
![Example of entering the equation of a parabola with axis parallel to the x axis](http://mathematicaschool.com/wp-content/uploads/2016/10/Esempio-input-equazione-3-1-e1489298620884.jpg)
Equation of a parabola with axis parallel to the x axis
x=y^2-1
Examples of development carried out by the system (click on the image to see the related course):
![cartesian plane: Distance between two points Piano Cartesiano: Distanza tra due punti](http://mathematicaschool.com/wp-content/uploads/2016/10/Distanza2Punti-e1489298176387.jpg)
DISTANCE BETWEEN TWO POINTS: The system uses the appropriate formula by checking whether the two points have common coordinates or not.
![Punto Medio di un segmento Medium Point: the system recognizes if the points have some co-ordination in common and in case adapts the application of the formulas to the data provided](http://mathematicaschool.com/wp-content/uploads/2016/10/PuntoMedio-e1489298789934.jpg)
Medium Point: the system recognizes if the points have some co-ordination in common and in case adapts the application of the formulas to the data provided
![cartesian plane: Intersection between two curves cartesian plane: Intersection between two curves](http://mathematicaschool.com/wp-content/uploads/2016/10/RettaPerpendicolarePer1Punto-e1489298809532.jpg)
INTERSECTION BETWEEN TWO CURVES: The system constructs and solves the system formed by the equations of the two curves
![Cartesian Plan: Baricenter of a Triangle Cartesian Plan: Baricenter of a Triangle](http://mathematicaschool.com/wp-content/uploads/2016/10/BaricentroTriangolo-e1489298750205.jpg)
BARICENTER OF A TRIANGLE: The system directly applies the formula to determine the center of gravity