Analytic Geometry – Straight Line

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Math
● Le espressioni si possono inserire solamente tramite la tastiera dell'app
● Il campo nel quale sarà inserita l'espressione è quello evidenziato in giallo
● Il campo in cui inserire l'espressione si seleziona semplicemente facendo click su di esso. Il campo diventerà così evidenziato in giallo
● Non è possibile comporre parole arbitrarie in quanto inserendo le lettere dell'alfabeto verrà inserito uno spazio dopo di essa per cui ogni lettera sarà riconosciuta come una variabile a se
● Inserendo le varie funzioni predefinite verrà inserito il suo nome e quando si cancella questo elemento verrà cancellato l'intero nome
key C
Cancella l'intera espressione
key CE
Cancella l'ultima espressione inserita
key left arrow
Sposta il cursosre di un'espressione a sinistra
key right arrow
Sposta il cursosre di un'espressione a destra

Using the following buttons you can perform operations related to Straight Lines in the Cartesian plane





Straight Lines and Conics



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

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

Points coordinatessqrt(3),1 2sqrt(3),-1/4

Example of entering the equation of a straight line in explicit form

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

Equation of the straight line in an implicit form
2x+sqrt(3)y-1=0

Examples of calculation processes performed by the software (click on the image to see the related development):

Cartesian Plane: Straight line passing throught 2 points

Straight line equation through two points

Cartesian Plane: Axis of a line segment

Axis of a line segment

Cartesian Plane: Straight line parallel to a given line passing through a specific point

Equation of the Straight line parallel to a given line passing through a specific point

Cartesian Plane: Straight line perpendicular to a given line passing through a specific point

Equation of the Straight line perpendicular to a given line passing through a specific point

Cartesian Plane: Distance point-straight line

Distance point-straight line

Cartesian Plane: Polar of a Point respect to a conic

Polar of a Point respect to a conic

TCartesian Plane: Tangent lines to a conic through a point

Cartesian Plane: Tangent lines to a conic through a point (using the polar line)

Analytic Geometry – Straight Line ultima modifica: 2018-08-29T05:06:41+00:00 da roberto