maw?q?t and recently found rules

having briefly been reviewed the historical process of changing the formulae for determining the times of islamic prayers two newly found formulae and a new rule for establishing the times of prayers would be discussed. these matters have been exploited from four texts still preserved as manuscript: (1) siyyid ¾?y? al d?n sh?shtar?’s ¼ad b?b dar macrifa al a½??rl?b (2) b?r?n?’s ’ist?c?b f? cilm al a½??rl?b (3) mu¬ammad madjd al d?n b. zayn al d?n mu¬ammad hamid?n?’s ’an?s al ?ull?b f? macrifa al a½?url?b and (4) an anonymous treatise named al ’ist?c?b li ’l camal bi ¼adr al waza wa ’l jin?¬ al ghur?b. in the end the accuracy of the numeral results derived from those formulae would be presented by making a comparison with each other as well as with the standard rules.