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Explanation: The term 'company limited by shares' is found in the UK and in Ireland (and most likely also in other jurisdictions, although I have no specific knowledge of these). In the UK, there are four types of company that can be formed: 1) a private company limited by shares; 2) a private company limited by guarantee; 3) a private unlimited company; 4) a public limited company.
Speaking in terms of rough equivalents, type 1 would be an ordinary 'besloten vennootschap' (i.e. has a share capital and is privately owned), type 2 is a business vehicle used for charitable purposes and could (arguably) be compared to a 'stichting', type 3 is highly unusual, and type 4 would be a 'naamloze vennootschap' (has a share capital and shares can be traded publicly.
According to Companies House, the UK registrar of companies, a 'company limited by shares' means that the "members' liability is limited to the amount unpaid on shares they hold." (see ref. 1 below).
According to the Irish Companies Registration Office, "a private company limited by shares" is one where "The members' liability, if the company is wound up, is limited to the amount, if any, unpaid on the shares they hold." (see http://www.cro.ie/ -> Business Registration -> Company)
This corresponds fairly closely with the basic definition of a BV:
-> "De 'besloten vennootschap met beperkte aansprakelijkheid' is een rechtspersoon met een maatschappelijk kapitaal dat in aandelen verdeeld is ... In principe zijn aandeelhouders nooit verder aansprakelijk dan tot het bedrag waarvoor zij deelnemen in de vennootschap." http://www.notaris.nl/tekst/609.htm