(a) When any bill, resolution, memorial, amendment, report, order, or other matter shall have been finally acted upon by the House or by the committee of the whole, either by having been adopted or rejected, no further action may be had thereon in the same body that will have the effect of defeating or resurrecting the same, except as provided for hereinafter in Rule 35. For the purpose of this rule, each committee of the whole shall be considered a separate body. Nothing herein shall prevent the introduction of a new bill on the same subject.