That _relative defensive advantage in Topography_ expressed by inaccessibility to hostile attack is materially manifested upon the Chess-board by Corps of Position, posted upon points of different color to that occupied by the adverse Bishop; and this advantage designates those posts situated on a projected field of battle which may be occupied with the maximum of security. That _relative offensive advantage in Topography_ expressed by accessibility to kindred attack is materially manifested upon the Chess-board by Corps of Position posted upon points of the same color as that occupied by the kindred Bishop; and this advantage designates those posts situated on a projected field of battle which may be attacked with the maximum facility. CHARACTER OF THE MOST FAVORABLE BATTLE That _relative advantage in Position with the Column of Attack_, expressed: 1. By superior location, direction and development of the Kindred Strategic Front of Operations; and 2. By the occupation of Points of Departure, of Manoeuvre, of Command and of the Strategic Key of a True Strategic Horizon, indicates that a Strategic Grand Battle in the first instance; and in the second case that a Tactical Grand Battle is most favorable in the existing situation. That _relative advantage in Position with the Column of Support_, expressed by superior facilities for occupying with the Kindred Promotable Factors their corresponding Points of Junction in the Kindred Logistic Horizon, is materially manifested upon the Chess-board by the larger number of Pawn Altitudes which either are open, or may be opened, despite all possible resistance by the enemy; and such advantage designates those adverse Points of Impenetrability and Points of Resistance to the march of the Kindred Promotable Factors, which it is necessary to nullify. That _relative advantage in Position with the Column of Manoeuvre_, expressed by the security of the Kindred and the exposure of the adverse Strategetic Rear to attack by the Kindred Column of Support, is materially manifested upon the Chess-board by the occupation by a Kindred Promotable Factor of the Point of Proximity; and such advantage indicates that the advance with all possible celerity of such Promotable Factor and Point of Proximity toward the corresponding Point of Junction is a dominating influence in the existing situation. PROJECTED GRAND BATTLE From the advantage in Position appertaining to the three Grand Columns is deduced the character of the Grand Battle properly in sequence. _Advantage in Position with the Column of Attack_ indicates the opportunity, all else being equal, to engage in a victorious Strategic Grand Battle against the hostile Formation in Mass, or in a Tactical Grand Battle against the hostile Formation by Wings. _Advantage in Position with the Column of Support_ indicates the opportunity to engage effectively in a series of minor battles, as though having the advantage in Numbers.