Section 57. Rates of fare

Subject to the provisions of the transportation
  law, every railroad corporation may fix and collect the following  rates
  of  fare  as  compensation to be paid for transporting any passenger and
  his baggage, not exceeding one hundred and fifty pounds in  weight,  for
  each mile or fraction of a mile:
    1.  Where  the  motive power is rope or cable, propelled by stationary
  power, five cents, with right to a minimum fare of ten cents; but if the
  railroad is less than two miles in length, and overcomes an elevation of
  five hundred feet or more to the mile, five cents for each  one  hundred
  feet  of elevation so overcome, and the same rates of fare if the motive
  power is locomotives, furnished with  cogs  working  into  cogs  on  the
  railroad, and the length of road does not exceed four miles.
    2. If a road not incorporated prior to May fifteenth, eighteen hundred
  and seventy-nine, and not located in the counties of New York and Kings,
  or  within  the  limits  of  any  incorporated  city,  and not more than
  twenty-five miles in length, five cents; if  over  twenty-five  and  not
  more than forty miles, four cents; and if over forty miles, three cents.
  Where by the laying down of a third rail upon a railroad of the ordinary
  gauge,  a  narrow-gauge track is created and used for the transportation
  of passengers, and the  length  of  road  does  not  exceed  six  miles,
  including  any connecting road of the same gauge, such railroad, for the
  purpose of fare, shall be deemed a narrow-gauge road.
    3. If its railroad overcomes an elevation of two hundred feet  to  the
  mile,  for  at  least  two consecutive miles, and does not exceed twenty
  miles in length, ten cents; if it overcomes an elevation exceeding three
  hundred feet to the mile, within a distance of two miles, five cents for
  each one hundred feet of elevation; and where it overcomes an  elevation
  of  more  than  one thousand feet, within a distance of two miles, seven
  cents for each one hundred feet of elevation in a mile.
    4. If the line of its road does not exceed fifteen  miles  in  length,
  and  does not enter or traverse the limits of any incorporated city, and
  the distance traveled thereon by the passenger does not exceed one mile,
  five cents.
    5. In all other cases, three cents for every  such  mile  or  fraction
  thereof,  with  a  right  to a minimum single fare of not less than five
  cents.
    This chapter shall not be construed to allow any rate of fare for  way
  passengers  greater  than two cents per mile to be charged or taken over
  the track or tracks of the  railroad  known  as  the  New  York  Central
  Railroad Company, and the rate of fare for way passengers over the track
  or tracks of such company shall continue to be two cents per mile and no
  more,  wherever  it  is  restricted  to that rate of fare, nor shall any
  consolidated railroad corporation charge  a  higher  rate  of  fare  per
  passenger  per  mile  upon  any part or portion of the consolidated line
  than was allowed by law to  be  charged  by  each  existing  corporation
  thereon previous to such consolidation.