This is "answered" but allow me to offer an alternative for posterity.
It's not a good idea to invoke the parent's constructor to get the parent's prototype. Doing so may have side effects; setting ids, tracking the number of instances, whatever happens inside the constructor.
You can use Parent.call() inside the Child constructor and Object.create or the polyfill to get its prototype:
function Animal () {
this.eats = true;
}
function Rabbit (legs) {
Animal.call(this);
this.jumps = true;
}
Rabbit.prototype = Object.create(Animal.prototype);
// Or if you're not working with ES5 (this function not optimized for re-use):
Rabbit.prototype = (function () {
function F () {};
F.prototype = Animal.prototype;
return new F();
}());
var bugs = new Rabbit();
alert(bugs instanceof Animal); // true
alert(bugs.eats); // true