Let’s assume that the line A.B. is the distance of the diameter of the common circle, which is eight feet, or the length of the sword twice over. Divide it into eight equal parts, each one being one foot. Take the distance A.C. to be six feet, which is the length of the arm and the sword, and draw a circle with this interval. This will be the circle of the sword’s jurisdiction, which from now on we will call the Orb of the Sword. Continue drawing the remaining circles passing through D, E, F, G, and H. Each one of these circles serves to recognize the jurisdiction of both the Fencer and his opponent, to take their steps for tricks. The circle passing through B represents the position the Fencer should be in to have chosen the middle of proportion, as we will show in its place; the outermost circle shows the circle the left foot should create when, while profiled or squared off with the opponent, the right foot moves inward.
The space between the fourth and third circles is where the opponent should stand to make the Fencer make a concluding move; however, not anywhere within it, but on the side that corresponds to his right side, as will be explained later. Understand that the opponent will occupy the distance from one circle to another with his foot, and these spaces, for brevity, we will call Orbs from now on.
The second circle shows how far the Fencer’s sword’s pommel or the opponent’s tip reaches in the upper plane when the opponent stands in his middle of proportion. It also shows the smallest step that can be taken to move from the middle of proportion to the appropriate position along the diameter line, which is the shortest line, though it is the least safe path.
But now, if we consider our Fencer positioned at the center of his circle at A, and imagine that the Sphere of the Sword, with all its circles, its straight lines, parallel planes, would be always rising parallel to the horizon until it reached the level of his head, we would find that the outer circle and Sphere of the Sword, with its perpendicular movement, would have created a cylindrical surface, like a tower or a castle. And that the other inner circles would have done the same. If these circles were real, as they are imaginary, the innermost ones, up to the sword guard, would always be stronger and offer more resistance, because the sections of the sword are stronger the closer they get to the guard. But we would also find that if there were many sword tips around the entire outer circle, one would have to admit that there would be much resistance in the conquest of this castle: the part of it that is between the sixth and fifth Sphere would be defended with the tip of the sword and the edge; the other part, which is from the fourth to the second, touches from the second, or middle division of the sword to the pommel, and looks more to defense than to offense.
The straight lines that divide all these circles into eight equal parts, with their movement, would have caused four vertical planes, which, intersecting the inner cylinder where the Fencer is considered to be, create on its surface eight lines. Imagined on the Fencer’s body, each one has its particular name.
The line corresponding to A.B. will be called Vertical of the chest, because for better understanding, we consider that the Fencer is directly facing his opponent, who is at B. The line corresponding to the part of the plane passing through A.2 will be called Right Lateral. The line corresponding to the part of the plane passing through A.8 will be called Left Lateral. The line corresponding to the one passing through A.3 will be called Right Vertical. The line corresponding to A.7 will be called Left Vertical. The other three lines correspond to the back; the line corresponding to A.4 will be called Right Lateral of the back. The line corresponding to A.6 will be called Left Lateral of the back. The one corresponding to A.5 will be called Diametral of the back.
The consideration of these planes, these spheres, and these lines is of such consequence in Fencing that almost all its excellence lies in them. As we have shown, Fencing is nothing other than movements, both in part and as a whole, and these movements are regulated by lines and planes. All the lines, planes, and surfaces we imagine here are so proper that they all derive not only from the symmetry of man but also from the true measure of the sword, the weapon with which one must attack and defend. Thus, the great utility that can be drawn from this figure for understanding this science is clearly recognized.
One can use this figure to become accustomed to the selection of both the means of proportion, as well as the proportionals and the proportioned. The mean of proportion is found between circle 7 and 9 and closely resembles what they call the encirclement of fortresses, or the cord set by those who lay siege at such a distance that they are neither too close to the fortress, risking considerable damage, nor too far away, which would cost them a lot of time to approach.
The proportioned means are found in different areas: either they are for thrusts and lie on the circumference of the Sphere of the Sword; or they are for cuts or reversals, half-cuts, and half-reversals and are on the fifth Sphere; or they are for finishing movements and are on the fourth. The third sphere is where the proportional is, as mentioned above. To better understand these means and their etymology, we will clarify these terms and try to provide some rationale that has led authors to use these names of proportion and proportioned, and for us to add the term proportional.