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Functions and commands 415
revlist Returns a list with the elements in reverse order.
revlist(Lst)
Example:
revlist([1,2,3]) gives [3,2,1]
rhombus With two points (A and B) and an angle (a) as arguments,
draws the rhombus ABCD such that the angle AB-AD=a. With
three points as arguments (A, B and P), draws the rhombus
ABCD in the plane ABP such that angle AB-AD=angle AB-AP.
rhombus(Pnt(A)||Cplx,Pnt(B)||Cplx,Angle(a)||P
nt(P)||Lst(P,a)),[Var(C)],[Var(D)])
Example:
rhombus(GA,GB,angle(GC,GD,GE)) draws a rhombus
on segment AB such that the angle at vertex A has the
same measure as angle DCE
right_triangle With two points (A and B) and a real (k) as arguments, draws
right-angled triangle such ABC such that AC=k*AB. With
three points (A, B and P) as arguments, draws the right-angled
triangle ABC in the plane ABP and such that AC=AP.
right_triangle((Pnt(A) or Cplx),(Pnt(B) or
Cplx),(Real(k) or Pnt(P) or
Lst(P,k)),[Var(C)])
romberg Uses Romberg’s method to return the approximate value of the
integral of the expression over the interval a to b.
romberg(Expr(f(x)),Var(x),Real(a),Real(b))
Example:
romberg(exp(x^2),x,0,1) gives 1.46265174591
rotation With a point (B), an angle (a1) and another point (A) as
arguments, returns the result of rotating the second point by
the angle about the center of rotation given by the first point.
With a line (Dr3), an angle (a1) and a curve as arguments,
returns the result of rotating the curve by the angle about the
axis of rotation given by the line.
rotation((Pnt(B) or Cplx or
Dr3),Angle(a1),(Pnt(A) or Curve))
Example:
rotation(GA,angle(GB,GC,GD),GK) rotates the
geometric object labeled K, about point A, through an
angle equal to angle CBD.