THEOREM
Given the Normal ability to move, to determine the Normal motif and direction of movement.
1. Designate that army having the advantage in Time and express such advantage by the symbol +T, express the corresponding disadvantage in Time which appertains to the opposing army, by the symbol -T, and such symbols will constitute the First Term of the First Phase of the demonstration of any Prime Strategetic Proposition.
2. Express that superiority, equality, or inferiority in Numbers, which appertains to each of the opposing armies by the symbols +N, =N,-N, respectively; and such symbols will constitute the Second Term of the First Phase of the demonstration of any Prime Strategetic Proposition.
3. Express the objectives designated by the plus terms of the Strategic Syllogism, viz.:
| (a) | Objective of | +A | = | Objective Plane, i.e., O. P. |
| (b) | ” | +S | = | Logistic Horizon, i.e., L. H. |
| (c) | ” | +M | = | Point of Junction, i.e., P. J. |
and the symbols denoting such objectives will constitute the Third Term in the First Phase of the demonstration of any Prime Strategetic Proposition.
4. Combine those three terms which appertain to the advantage in Time, then combine those three terms which appertain to the disadvantage in Time, and the resulting equation when expanded will depict:
- (a) The normal ability to move.
- (b) The normal motif of movement.
- (c) The normal directions of movement which appertain to each of the opposing armies.
EXAMPLE
| White. | (+T+N) | + | (+A+S+M) |
| Black. | (-T-N) | + | (-A-S-M) |
EXPANDED
| First Term. | +T | = | Normal ability to move. |
| Second Term. | +N | = | Normal motif of movement, (a) Detachments, (b) Exchanges. |
| Third Term | +O. P. | = | Normal objective of +A. |
| +L. H. | = | ” ” ” +S. | |
| +P. J. | = | ” ” ” +M. |
Hence, in the foregoing example the normal direction of movement for White may be either toward the Objective Plane with the Column of Attack, or toward the Logistic Horizon, or the Point of Junction with the Column of Support, or toward both objectives, with both columns simultaneously.
Meanwhile, the Black army having the disadvantage in Time is unable to move, and consequently is stationary.
Furthermore, White having the superiority in Numbers may move with an equal force against either objective designated by the Third Term of the equation, and with his excess force against one or more adverse vital points, simultaneously, against which latter movement, Black obviously has no adequate defence.