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This is a hand-edited transcription produced from Scans by Bayerische Staatsbibliothek using OCRmyPDF and translated with GPT4 via ChatGPT

CHAPTER SEVEN

EXPLANATION OF THE MEASUREMENTS AND Proportions of the human body most necessary for the use and practice of the science and skill of weaponry

Albrecht Dürer, in his book on the symmetry of the human body, presents two methods to teach how to measure and proportion its figures. The first method involves dividing its height into many aliquot parts, such as half, third, quarter, fifth part, etc. The second method is through the use of specific characters, whose explanation we’ll address in due course. Typically, to apply these rules in practice, Dürer relies on the second profile and the third reverse perspective. However, in the context of fencing, we commonly refer to the first as “Profile,” and the second as “Square.” We won’t assign a specific name to the third perspective, which is viewed from the back, as it isn’t typically used in this discipline. Of these aliquot parts, those used to measure the figure’s height will be found in the margin, while those used for width and depth will be located within the figures themselves, each labeled with a number corresponding to its value. We only need to mention a few of these measurements here, specifically those relevant to our framework: the full height of the figure, the length of the arm alone, the arm’s length with the sword, the distance between the centers of both arms, the length from the centers to the ground, the distance from the body (or its center point, the navel) to the ground, its maximum width, and its greatest depth.

The commonly accepted height for a perfect figure (as referred to by painters and sculptors as “from the natural”) is two yards, which equates to six geometric feet. If we further divide each foot into 16 fingers, the total height of the figure becomes 96 parts or fingers. Using these measurements, we’ll examine the two variants provided by Dürer in his books. To standardize these measurements, we’ll use the more familiar unit of fingers, which will allow us to precisely and easily determine each part’s exact value.

In Dürer’s first book, on page 3, there’s a profiled figure alongside an arm with its hand. Next to it, there are four measurements: two larger ones and two smaller ones. The first of the larger measurements, which runs from the upper part down to the elbow, is denoted as ²⁄₁₁. This suggests that if the figure’s entire height were divided into eleven equal parts, this section would represent two of those parts. To get a better grasp of this fraction, we can convert it into our standard unit of fingers. By multiplying the fraction’s numerator, which is 2, by the figure’s total height, which is 96, we get 192. Dividing this by the fraction’s denominator, 11, we get 17. ⁵⁄₁₁ fingers, which slightly exceeds one foot, as the length of this part up to the elbow.

The other larger part, which extends from the elbow to the fingertips, is marked with the number 4. This indicates that this section constitutes a quarter, or one-fourth, of the entire figure, which is a foot and a half or 24 fingers. This measurement aligns closely with what cosmographers assign to the ulna or cubit, as can be seen in works by Pedro Apiano and many other authors. However, since our current intention is only to examine the arm’s length without mentioning the hand, we’ll subtract from this quarter, which amounts to 24 and ⅗ fingers, and the remainder will be 14 and ⅖ fingers. Added to the previous 17 ⁵⁄₁₁, the total comes to 31 and ⁴⁷⁄₅₅ fingers, which is just slightly less than two feet. Thus, we can conclude that for a figure that is six feet tall, the arm will be two feet, or one-third of the total height. This measurement starts from where the arm originates up to the line known as the Receta.

The distance found between the two centers of the arms is one-fifth of the total height, which corresponds to 19.2 fingers. The distance from the centers of the arms to the lower plane will be determined by subtracting 18 fingers (the value of the longer of the two lines facing the head with the numbers 10 and 11) from the total height of the figure, which is 96 fingers. The remainder will be 78 fingers, which is five feet minus two fingers.

The maximum width is ³⁄₁₀, which, converted to our measurement, makes 28.8 fingers. The maximum depth is one-sixth of the figure, which is one foot. The distance from the center of the body, corresponding to the navel, to the lower plane, is five-fourths, or sixty fingers. This is the same length given to regulation swords, according to the kingdom’s law. This can be verified with the figure on page 4, seen from behind. If you subtract 36 fingers (one-tenth and three-elevenths of the total height) from the top of the head to the navel, the center of the body, the remaining length is the 60 fingers we mentioned earlier, which equates to the five-fourths length of a sword from the tip to the hilt or guard.

This same length can be found from the center of the right shoulder to the tips of the fingers of the left hand, with the arm stretched out in a straight line with the shoulders. This can be verified by adding the first three parts: the length we assign to the elbow, the distance from the elbow or joint to the center of the same arm, and the distance from center to center. In total, they amount to just over 60 fingers.

In the same book, on page 7, Albrecht presents another figure of a man. From the given method, the measurements determined are as follows: the arm length is 33 fingers, with an additional ⅗ of a finger. The distance between the centers of the arms is 16 fingers and an additional ²⁄₁₁ of a finger. The distance from the arm centers to the bottom plane is five feet. The maximum width of the figure is one and a half feet, and its maximum depth is 13 fingers with an additional ⁵⁄₇ of a finger. The height from the center of the body to the bottom plane is 61 fingers, which equates to five-quarters plus one more finger. The distance from the center of the right arm to the tip of the left hand is 59 fingers and an additional ⅓ of a finger, which is slightly less than five-quarters.

On page 10 of the same book, Albrecht showcases another figure whose arm length is slightly less than 32 fingers. This is because only 16 parts out of 401 (considering a finger divided into 401 parts) are missing, which is negligible in practice. The distance between the arm centers is one foot. The height from the arm centers to the bottom plane is five feet. The figure’s maximum width is 21 fingers and an additional ⅔ of a finger, its maximum depth is 12 fingers and an additional ⅖ of a finger, and the height from the center of the body is 61 fingers.

On page 14, another figure is presented, whose arm measurements are nearly identical to the previous one. The distance between the arm centers is one foot, its height from the bottom plane is five feet, the greatest width is 21 fingers and ⅔ of a finger, and the greatest depth is 12 fingers with an additional ⅖ of a finger.

Lastly, on page 18, the arm’s length is noted to be 32 fingers and an additional ²⁄₁₁ of a finger. The distance between the centers is 16 fingers minus ²⁄₇ of a finger, the height from the arm centers to the bottom is five feet, the greatest width is 21 fingers, and the greatest depth is 12 fingers.

We could continue with the explanation of the Symmetry found in the figures of Albrecht’s second book, but it doesn’t seem necessary to delve into the multitude of examples when just one will suffice for the authority we seek. What we need to note in this book, as in the previous one, is that there is so much proportion and correspondence in the length of the sword with these figures, that it seems either these figures were adjusted to the measure of our sword, or those who made the mark took it from the symmetry of these figures.

In the second book, he uses certain characters (in place of numbers), which are as follows: 𝑪Ɛ⎳٪ The first, 𝑪, represents one-sixth of the entire figure, which is one foot or 16 fingers. The second, Ɛ, is one-tenth of the first, equivalent to one finger and ⅗ of another. The third, ⎳, is one-tenth of the second, corresponding to ⁴⁄₂₅ of a finger. The fourth, ٪, is a very small quantity, as it’s one-third of the third, amounting to ⁴⁄₇₅ of another finger. Using these measurements, he calculates his figures. On pages 4 and 5, he shows how the human body fits within a circle that spans from the feet to the tips of the hands when the arms are raised to the level of the head. The center of this circle is the navel, which is located the same distance from the lower plane as the sword’s length, which is three feet, three-quarters, or sixty fingers. The same is found on pages 58 and 65.

This measurement is equal to the five-quarters, which by kingdom law is the mandated length of the sword, from tip to hilt or quillons. From this, it follows that the sword is the exact measurement of the radius of a circle in which the man is encompassed as if spherical; because if one places one quillon in the center, which is the navel, they can describe the circumference of this circle with the tip of the sword. This is demonstrated by Albrecht on page 54, where the close correspondence and proportion of this instrument with the one who is to wield and govern it is recognized.

It’s also found that if four fingers of grip are added to its length, the entire length, along with the arm, will be six feet, which is the height we’ve determined a life-sized figure should have. Thus, the sword by itself not only defines the realm of the swordsman, but accompanied by the arm that wields it, matches its height. Another property or excellence found in the sword is that its length determines the greatest stride a swordsman can take, measuring the distance between the two feet when they are as far apart as possible. Anyone can test this. If geometers and geographers have set the geometric stride to be five feet, it’s because they count one solid foot along with four empty feet. However, this stride isn’t accepted in the art of fencing since it would require an extreme extension of the body.

Having verified the precise measurement of the whole man, his parts, together with the length of the arm and sword for the defense and conquest of this imaginary castle, it won’t be difficult to determine the jurisdiction required for the use of both things. But before starting this work, we need to recall three essential things observed in any real and regular fortification.

The first is the distance to be set from the center of the square to the side or angle of the inner polygon. The second is the distance from the inner polygon to the angle of the outer polygon. The third is the one the enemy must choose when intending to lay siege to the square.

The first distance must be such that the polygon can accommodate a sufficient number of people who can defend the square, in addition to having space for military exercises and for retreats when necessary. This inner polygon is defended by walls, embankments, parapets built on the curtains and bulwarks. The distance from the first, or inner, polygon to the outer one is defended by the most manual offensive weapons available in the square, such as muskets, grenades, etc., currently. This distance should not exceed the reach of the square’s most powerful weapon, which is the cannon. This distance has changed since the invention of gunpowder, as previously it was much smaller. In the past, an army would immediately reach the counter-scarp, but now many days pass, many people die, and much ammunition is used before they can reach the ditch. Not only this distance but the entire form of fortification has changed with gunpowder, though the main principles remain.

Our fortress will have no need to change over time because the perfection of the weapon with which it will be defended and conquered is such that its form admits no change or alteration; it encompasses everything found in offensive and defensive weapons. Artillery and other firearms are weapons of great precision and have impressive effects, but their role is solely offensive without any defense. Defensive weapons, such as breastplates, parapets, walls, and embankments of castles and fortified cities, have only defense as their function. But the sword alone has the preeminence of both tasks: to offend and defend simultaneously. The offensive aspect seems easy, but to offend while remaining defended requires more skill and appears challenging. The reason for this is that the most essential part, the defense, is based on fortification, and the required finesse is almost all imaginary. It’s no wonder that those lacking knowledge of its concept find its defense perplexing.

Some may find this thought extravagant, but I am confident that once they see our concept, they will admit that this is the only way to understand a science that has been so intricate until now, as everyone knows. And these teachings will not only serve to grasp the art of fencing but will also be of great interest to those who understand military precepts. Since the objectives, which are to conquer or not be conquered, are the same, the means to achieve those objectives must have much in common. Here we will detail the form and structure of this castle in more depth, with its plan, elevation, and perspective. Then we will explain all its parts, with the necessary mathematical demonstrations to make evident how the swordsman can form this fortification with the perfection represented here. I don’t mean he can create it all at once, for as much as that’s impossible, it’s unnecessary. It will suffice that he can form a defense and put his opponent in a position where he can’t achieve his intention. In this context, we can apply the adage that says:
It is in vain to do with more what can be done with fewer.