Section 316. Entitled to free use of highways

The authorities having charge
  or  control  of  any highway, public street, park, parkway, driveway, or
  place, shall have no power or authority to pass, enforce or maintain any
  ordinance, rule or regulation by which any person  using  a  bicycle  or
  tricycle  shall  be  excluded  or  prohibited  from  the free use of any
  highway, public street, avenue, roadway,  driveway,  parkway,  park,  or
  place,  at  any  time  when  the same is open to the free use of persons
  having and using other pleasure carriages, except  upon  such  driveway,
  speedway  or  road  as has been or may be expressly set apart by law for
  the exclusive use of horses and  light  carriages.  But  nothing  herein
  shall prevent the passage, enforcement or maintenance of any regulation,
  ordinance  or  rule,  regulating  the  use  of  bicycles or tricycles in
  highways, public streets, driveways, parks, parkways, and places, or the
  regulation of the speed of carriages, vehicles  or  engines,  in  public
  parks and upon parkways and driveways in the city of New York, under the
  exclusive  jurisdiction  and  control  of  the  department  of parks and
  recreation of said city, nor prevent any such authorities in  any  other
  city  from regulating the speed of any vehicles herein described in such
  manner as to limit and determine the proper rate  of  speed  with  which
  such  vehicle  may be propelled nor in such manner as to require, direct
  or prohibit the use of bells,  lamps  and  other  appurtenances  nor  to
  prohibit  the  use of any vehicle upon that part of the highway, street,
  park, or parkway, commonly known as the footpath or sidewalk.