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HP Prime Graphing Calculator User Manual

Page 417

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Functions and commands

413

reciprocation

Returns the list where the point is replaced with its polar and

the line is replaced with its pole with respect to the circle.

reciprocation(Crcle,Lst(Pnt,Line))

rectangle

Draws the rectangle ABCD, where, if k is provided, AD=k*AB

if k>0, and where, if k and P are provided, the rectangle is in

the plane ABP with AD=AP and AD=k*AB.

rectangle(Pnt(A)||Cplx,Pnt(B)||Cplx,Real(k)||
Pnt(P)||Lst(P,k),[Var(D)],[Var(C)])

rectangular_

coordinat

Returns the list of the abscissas and of the ordinates of points

given by a list of their polar coordinates.

rectangular_coordinates(LstPolCoord)

Example:

rectangular_coordinates([1,-1])

gives

[cos(1),-

sin(1)]

red

Used with display to specify the color of the geometrical

object to be displayed.

reduced_conic

Takes a conic expression and a vector of , and returns the

origin of the conic, the matrix of a basis in which the conic is

reduced, 0 or 1 (0 if the conic is degenerate), the reduced

equation of the conic, and a vector of the conic’s parametric

equations.

reduced_conic(Expr,[LstVar])

Example:

reduced_conic(x^2+2*x-2*y+1)

gives

[[-

1,0],[[0,1],[-1,0]],1,y^2+2*x,[[-1+(-i)*(t*t/
-2+(i)*t),t,-4,4,0.1]]]

ref

Returns the solution to a system of linear equations written in

matrix form.

ref(Mtrx(M))

Example:

ref([[3,1,-2],[3,2,2]])

gives

[[1,1/3,-2/

3],[0,1,4]]