When you call dojo.require("esri.dijit.Measurement"), it should include all the required module automatically. So you don't have to call those requires again.
Just for your information, here is the list of the required.
dojo.require("dijit._Widget");
dojo.require("dijit._Templated");
dojo.require("esri.map");
dojo.require("esri.geometry");
dojo.require("esri.symbol");
dojo.require("dojo.parser");
dojo.require("dijit.layout.ContentPane");
dojo.require("dijit.Menu");
dojo.require("dijit.form.Button");
dojo.require("esri.tasks.geometry");
dojo.require("esri.WKIDUnitConversion");