Section 53. County president form

A county which shall adopt the county
  president form of government shall have a county executive to be  called
  "county  president.  " The office of county president shall be elective.
  The term of office of the county president first elected shall be  three
  years from and including the first day of January of the second calendar
  year in which the county president form becomes effective in the county.
  Successors  shall  be  chosen by the electors of the county for terms of
  four years each. A vacancy occurring otherwise  than  by  expiration  of
  term  shall be filled by appointment by the board of supervisors and the
  person so appointed shall hold office  until  the  commencement  of  the
  calendar  year  next  succeeding the first general election at which the
  vacancy may be filled. The county  president  may,  when  authorized  by
  local law, serve as the head of one or more departments not administered
  by  an  elective official but without additional compensation. The board
  of supervisors of the county shall continue to have and exercise all the
  functions, powers  and  duties  of  boards  of  supervisors  as  now  or
  hereafter provided by this chapter or by other law, except as limited or
  otherwise  provided  by  this section.   The county president shall have
  power, as  provided  in  subdivision  five  of  section  twenty  of  the
  municipal  home  rule  law, to veto any local law passed by the board of
  supervisors. The foregoing provisions of  this  section,  together  with
  other  applicable provisions of this chapter, including those provisions
  of this chapter which may  be  made  applicable,  shall  constitute  the
  county  president  form  of  government authorized to be adopted by this
  chapter.