Оформил: DeeCo
Автор: http://www.swissdelphicenter.ch

procedure TForm1.Button1Click(Sender: TObject);

   procedure Delay(msec: Longint);
   var
     start, stop: Longint;
   begin
     start := GetTickCount;
     repeat
       stop := GetTickCount;
       Application.ProcessMessages;
     until (stop - start) >= msec;
   end;
   var
    maxx, maxy: Integer;
 begin
   maxx         := form2.Width;
   maxy         := form2.Height;
   form2.Width  := 112;
   form2.Height := 27;
   form2.Left   := (Screen.Width - form2.Width) div 2;
   form2.Top    := (Screen.Height - form2.Height) div 2;
   form2.Show;

   repeat
     if form2.Height + (maxy div 5) >= maxy then
       form2.Height := maxy
     else
       form2.Height := form2.Height + (maxy div 5);

     if form2.Width + (maxx div 5) >= maxx then
       form2.Width := maxx
     else
       form2.Width := form2.Width + (maxx div 5);

     form2.Left := (Screen.Width - form2.Width) div 2;
     form2.Top  := (Screen.Height - form2.Height) div 2;
     delay(30);

        until (form2.Width = maxx) and (form2.Height = maxy);
 end;