Swordsman & Geek

A Midsummer Night’s Blog

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Pregnant with Twins (Embarazada de Mellizos)

My lovely wife is pregnant with twins and the first trimester officially ends on Thursday, February 25, 2010.  Of course, you want to see the pictures and I won’t deny you.

Baby Pictures

Here is the latest Ultrasound from this last Thursday:

Our twins at Week 11

Our twins at Week 11. (Click for High Resolution.)

Things seemed to be going fine with the Ultrasound when the doctor noticed some strange behavior.

Twin A turned to face Twin B so as to minimize his profile.

Twin A turned to face Twin B so as to minimize his profile.

Fortunately, I was there and was able to interpret what was happening inside Mary’s tummy.

From Twin A's invitation in 4th, Twin B attempted to find the sword in 3rd hand in 2nd.  Twin B, executes a cavazione di tempo, but executes it as a feint.  Twin B counterattacks in in 4th only to be parried by Twin A in 4th who responds with a riversa to the outside cheek which Twin A

From Twin A's invitation in 4th, Twin B attempted to find the sword on the outside line in 3rd with his hand in 2nd. Twin A, executed a cavazione di tempo, but executed it as a feint. Twin B counterattacked in 4th only to be parried by Twin A in 4th who responded with a riversa to the outside cheek. Twin B eluded the cut to the outside cheek by lifting his hilt into Italian sabre parry of 7th and then in a sudden transition Twin B attempted to pass and seize the off hand of Twin A with a Spanish Movement of Conclusion. Perfectly in synch with Ettenhard's theory, Twin A eluded the circular footwork with circular footwork of his own and the phrase ended.

Seriously Now…

When Mary and I got back from Spain, we got our lives back into a semblance of order and then gave it our best shot.  We got pregnant almost immediately and had a bit of a scare at 7 weeks when we thought we were out of the game for awhile.

We were scheduled for an emergency ultrasound and that’s when we discovered not only was Mary still pregnant, but that there were two little hearts beating in there.  We’re incredibly happy and things are going very well for us now.

Because of the earlier scare, we have been keeping this quiet but with the first trimester ending next week we’re lifting the veil of secrecy.  My blog has been remarkably quiet of late and that’s because a good deal of our effort has been consolidated into writing up our experiences as we go through the pregnancy on Mary’s blog.  Until today, these entries have been password protected with only immediate family having access.

The due date for a typical pregnancy would be about September 9, 2010.  With our twin pregnancy, we expect the twins to arrive sooner, sometime in mid August.

Mary’s Baby Blog

We’ve been blogging about the whole thing since we found out and you can read about it here:

If you want to read all the posts (which is not required by any stretch of the imagination), start on January 1, and use the calendar on the right to select the different dates.

We’re having a wonderful time working our way through the process.

Fencing Criticism and Feedback for Dummies…

Fencers?  Cocky?  Never!

William provides Italian sabre feedback at WMAW 2009

I recently witnessed an Internet discussion on fencing that rapidly degenerated into bad blood.  Using my best sarcastic voice, I hereby state, “It may surprise the world to learn that fencers are notoriously cocky and prone to confrontation.

Any fencing teacher can watch a fencing match and provide valid criticism and feedback. Regardless of the quality of the fencing in question, how your criticism is delivered tells the world what kind of person you are.  More specifically, they get a window into how you might treat your own student.

If your goal is to humiliate and punish the student you are certainly welcome to say whatever you like, but I have a three-point system for delivering feedback based on my experiences training for the fencing master’s program.

Puck’s 3 Rules for Corrective Feedback

  • Precise – Feedback should not be vague.  “Fix your arm” is not an acceptable correction from a fencing teacher.  That could mean anything.  You do not want the student trying to guess what they should correct. “Extend your weapon arm first during the lunge;” “In the guard create a straight line from elbow to weapon tip;” “Close the line when striking.”  These are all specific corrections tightly focused on the problem.
  • Concise – Nothing breaks up the tempo of a fencing lesson like veering off into an extended discussion of tangential theory.  There is a place for extended discussion, but on the floor a short and precise explanation preserves the flow of the lesson.  Don’t let your fencer’s legs cool off while you wax poetic about the joys of striking in countertime.  Importantly, don’t lecture while the student is on guard.  If you are going to provide anything more than short feedback, put them into a resting posture like first position.  Don’t spend sweat and energy having your student hold a guard as you prattle when you could spend that energy on fencing actions.
  • Nice – This seems obvious, but it bears repeating.  Don’t be a jerk when you deliver your correction.  As a fencing teacher, you are engaged in the process of creating a skilled fencer.  Like any person responsible for creation there will be challenges in the process.  It is a poor artist that wrecks his own canvas.  There is often a natural and friendly antagonism between the fencing master and the student, but the goal of the teacher should always be to build the student and not to destroy them.

Both fencing and teaching are very rewarding.  Nothing worth doing is easy all the time, but if we can take a bit of time to treat each other with respect and focus on building better fencers we will all benefit.

~P.

Pacheco’s Destreza Curriculum

(12/16/2009)

Don Luis Pacheco de Narváez

Don Luis Pacheco de Narváez

With the Ettenhard translation rolling out we have been getting some requests on what material a fencing instructor should teach during a Destreza class. Rather than provide my own answer, it might be useful to look back to the living tradition. In 1625 don Luis Pacheco de Narváez wrote a document that provides us with this information.  It was considered important enough that it was later republished in 1658:

Modo facil y nvevo para examinarse los Maestros en la Destreza de las Armas (Easy and New Way to Examine the Maestros in the Art of Weapons)

folios 81v-85v

The book is written as a conversation with a Maestro testing a student’s knowledge. Presented here for the first time in English is Mary’s translation of Pacheco’s recommended curriculum:

Pacheco’s Curriculum

  • Teach the theory before the practice
  • Theory
    1. Explain “the simple movements and the mixed ones that can be done with the arm and those that can be done with the swords” (f. 82r).  (See Article.)
    2. Tell him about “the six general lines, the simple ones and the mixed, in which it is possible for the opponent to assume his stance, and show him how the line of the right angle has the greatest reach and defense” (f. 82r).  (See Article.)
    3. Explain “the vertical, collateral and diagonal lines envisioned on the body, and how the strikes should be executed along them” (f. 82r).
    4. Next, the footwork—”simple and compound steps, to which foot each belongs and which are common to both feet” (f. 82r-v). (See Article.)
    5. “Afterward, [explain] the circle that is imagined between the two combatants with the transversal  and infinite lines envisioned in it along which the steps are made” (f. 82v). (See Article.)
    6. “Give the student very detailed information about the angles that are created by the contact of the swords, and how (whether to place atajo or to do what is called the gaining) it is necessary that there are four and either all of them are right angles or two are obtuse angles and two acute. The right angles (the swords touching in the middle of their lengths) only serve for the defense and offense” (f. 82v).  (See Article.)
    7. “Tell him how there are only two ways to do the techniques, the one with the positioning of the sword and the other gaining the degrees of profile” (f. 82v-83r).
    8. Tell him “that in the art of defense there are only five techniques—the Circular cut and reverse, the thrust, and the half cut and reverse—and explain to him the movements that compose each one whether the sword is free or subjected” (f. 83r).
    9. “Prove to him also that there are not detaining parries, that the deflections are harmful, and that the subjection is what one should do instead of them” (f. 83r).
  • Practice
    1. “Teach him how to hold the sword in the hand and how it is advisable to hold it tightly in the hand so that the strength of the body can be communicated to the sword by means of the arm…and the movements can be strong and fast” (f. 83r-v).  (See Article.)
    2. Explain “that one always assumes one’s stance in the right angle, the arm straight, without the arm nor the hand participating in any of the four extremes—low, high, to one side or the other” (f. 83v). (See Article.)
    3. Explain “that he should have the body profiled, equally over both feet, and the feet with one heel in front of the other and not further apart than half a foot in such a way that if the tip of the left was turned it would arrive at the heel of the right” (f. 83v).
    4. “Teach him the four general techniques” (f. 83v).
    5. Show him “the opposition that the some techniques make to the others and the particular techniques over which each one has control” (f. 83v).
    6. “And finally [explain] all the materials that have been dealt with here” (f. 83v-84r).

Links

I have linked some of the previous Destreza articles from the blog relevant to each of Pacheco’s points.

Ettenhard and More

Reading through Ettenhard’s work you will see that he follows this curriculum very closely.  Pacheco has more to say and you can expect to see his advice here once we have it in English.

~P.

Spanish Fencing Notation Part 5 – Strength of the Weapon

(11/3/2009)

LINK TO ARTICLE 1

LINK TO ARTICLE 2

LINK TO ARTICLE 3

LINK TO ARTICLE 4

Degrees of Strength in the Weapon

The amount of physical power you can exert with a sword varies along the length of the blade.   The part of the blade closest to your sword-hand has the most mechanical advantage and the further you move away from your hand the weaker you become.  The Italian system typically breaks the sword down into three parts; Strong, Middle, and Weak. The same will occur for any object held in the hands whether it is a longsword, rapier, or even a stick.

Leverage with Different Objects

Leverage with Different Objects

While the Spanish understand this and often refer to the Strong and Weak as well, Carranza labels these parts as the Near, the Middle, and the Remote.

Carranza’s Philosophy… f.167 (1569, pub.1582)

“Know that in the angle of the straight line, the sword has three parts. I mean that its numeration starts from the tip (as we will discuss later), and the strength increases as the numbers are multiplied until stopping in one of the centers. All this graduated quantity is divided in three equal sections with respect to the length, but they are unequal with respect to each one’s quality. You should be aware that the part next to the center’s strength is called near in this Art; the second portion, because it is between the strong and the weak and between the increase and the decrease, is the middle; and the last part is called remote.”

~Translated by Mary Curtis

Another method of describing the transition between weaker and stronger leverage is by numbering the sword into degrees of strength.  This provides us with more information when describing engagements.

Image from Carranza’s Philosophy… f. 178 (1569, pub. 1582)

Carranzas Degrees of Strength

Carranza's Degrees of Strength (Click for High Resolution)

Notice that the blade is numbered from one, the weakest portion, to gradually higher numbers that indicate more strength.  The effect of the notation is that higher numbers defeat lower numbers which is intuitive and easy to follow.  These graduations of strength in the blade can provide an instructor with a greater degree of specificity when speaking with the student.

“Engage his 4 with your 6.”


“Shift the engagement from your 3 to your 8.”

Sword with degrees marked in tape

Alonya's sword with the degrees of strength marked in tape for training

Carranza’s Leverage Demonstration

Carranza proves the mechanical advantage by applying a finger to the weakest part of a sword to demonstrate the combined effect of two different types of leverage working simultaneously.

First and Second Class Levers

Carranza’s Philosophy… f. 179 (1569, pub. 1582)

“Then place the first finger of the four (called the index) on the tip of the sword at the beginning of the violent movement, and hold it firm, so that it makes two right angles with the sword. And I tell you all on behalf of the truth that even if many strong arms join together to move it from the place where the finger is, not removing it to the sides nor below, they will not move it. They will not be able to move it upward either nor make a violent movement with it upward in any way, as you all will see in this illustration that serves for the violent and natural movement.”

~Translated by Mary Curtis

DANGER: A Bit of Physics…

To understand Carranza’s illustration, we must first define torque.  When physicists talk about the linear motion of an object, we can talk about forces acting on the object.  For example, if I want to move a sword in a line, I can apply a force to the sword for a thrust.  These forces might be gravity pulling the object toward the earth, a fencer lifting a weapon from a table, or a lunge pushing the weapon forward.

Just as a linear force moves objects in a line, torque rotates objects around a fixed point.  When we wish to rotate an object we apply force to the object to achieve torque.  The length of the object (or moment arm) affects how much torque we can achieve with a given force.  The further from the point of rotation you can apply your force, the greater the torque applied.  Just as you can use a longer wrench to unfasten a sticky lug nut, you can also achieve greater torque by engaging the adversary’s weapon further from the axis of rotation.  In plain terms, pressure on the adversary’s weapon in the weak of the blade provides you with much more strength than engagement closer to his hand.

The Most Common Discussed Sword Lever

The weapon will act as a Second Class Lever when the entire arm is considered.

The Sword as a Second Class Lever

The Sword As a Second Class Lever Hinged at the Shoulder Joint. (The swordarm shown here is a reversed and edited image from Carranza's text.)

The axis of rotation might be the shoulder joint as shown here, or the elbow or wrist instead.  Pushing at a 90 degree angle to the sword provides us the greatest amount of torque.

Without getting too deeply into mathematics, you can see that when you double the length of the lever, you also double the torque you can achieve with the same force.

  • Torque = (1 foot) x (10 pounds) = 10 foot-pounds of torque
  • Torque = (2 foot) x (10 pounds) = 20 foot-pounds of torque!!
  • (Assuming that both are applied 90 degrees to the moment arm.)

This tells us that if we apply force further away from the shoulder in the weak of the blade we achieve greater torque than the same force applied to the strong.

Example:
You can demonstrate this in your own class by having your largest fencer grip a sword in one hand with an extended arm.  Have the smaller fencer apply downward pressure to the tip with a single finger while the stronger one tries to lift the weapon from the shoulder.  The large fencer will feel the torque in the shoulder because the entire extended arm and weapon becomes a Second Class Lever.  If the large fencer tries to lift from the elbow or wrist, the torque will also be exerted there as well with pressure on every joint resisting the downward motion.

The Hidden Lever

There is another type of lever acting here as well that we can see by looking at Carranza’s image.  In this image a heavy weight is suspended from the hilt and with a single finger we can lift it across an invisible fulcrum.  What is the missing fulcrum?

Image from Carranza’s Philosophy… f. 179 (1569, pub. 1582)

Carranzas Demonstration of Leverage

Carranza's Illustration of Leverage Lifting a Heavy Weight (Click for High Resolution)

Carranza’s image provides us with an example of the sword as a First Class Lever.  The finger on the blade’s weak lifts the heavy weight tied to the pommel with the unseen fulcrum being the hand of the fencer holding the weapon.

Sword as First Class Lever

The Sword as a First Class Lever held by this left-handed swordsman.

The conflict between the fencer’s gripping force and pressure applied to the weapon is one of the mechanisms you might use to disarm an adversary.  For example, in the previous article Carranza indicated that fingernails up is the weakest position of the hand.  By applying downward pressure or a strong beat to the adversary’s weapon, you might be able to disarm your opponent.  Salvator Fabris shows two possible disarms against an adversary in fourth (fingernails up) in plate 181.

Example:
You can demonstrate this in your own class by having your largest fencer grip a sword in one hand fingernails up.  Have the smaller fencer apply downward pressure to the tip with a single finger.  The strong fencer will feel an intense amount of pressure at the fulcrum point, and the smaller fencer will probably be able to push the tip downward.  If this pressure is applied quickly and with force, it could result in a disarmament.

When Opposition Occurs Natural Defeats Violent

In a natural movement, the blade falls while in a violent movement it rises.  According to the Spanish when two blades are in contact with equal degrees of strength, the fencer pushing downwards has the advantage over the fencer attempting to lift his weapon.  The fencer pushing downwards can bring the weight of his upper body to bear into the engagement while the fencer resisting from below must rely solely on the muscles in the arm.

Pacheco argues that the Natural movement “…cannot be defeated by another, due to its noble nature,…” and Ettenhard echoes this.

Ettenhard in Compendium of the Foundations… p.89 (1675):

“…and it is very clearly shown that he [don Luis Pacheco de Narvaez] said it because of the natural movement, since to it alone belongs the subjection, and in conclusion, it alone is superior to all, due to being the noblest, quickest and strongest.”

~Translated by Mary Curtis

Changing the Relationship of the Opposition

When two blades come into opposition changing the point of contact can increase or decrease your strength in the engagement.  Within the Spanish system this would be increasing or decreasing the degree of the sword.

In German longsword the practice of lifting the weapon to change a weak engagement to a stronger one is called ‘Winding’.  The Spanish have a similar concept called a Movement of Increase.  If both fencers start with equal engagement, Ettenhard tells us that by lifting the weapon and carrying it into the line of offense we can strengthen our engagement.

Ettenhard’s Compendium… p.119 (1675)

“…the movement of increase, which is made in order to graduate the sword. Since for this reason more strength is acquired and increased, it is appropriately given this name but not because it is of a different type from the ones mentioned in the principles that have been defined, since this action falls (with more certainty than to any other) to the mixed movement aligning lateral and violent.”

~Translated by Mary Curtis

In contrast, moving from a strong engagement to a weaker one is called a Movement of Decrease.  If both fencers start with equal engagement, then by lowering the weapon and moving away from the line of offense we weaken our engagement.

Ettenhard’s Compendium… p.119 (1675)

“The movement of decrease is the one that is made in order to reduce the strength, disgraduating the sword, whose action belongs legitimately to the mixed movement of offline lateral and natural…”

~Translated by Mary Curtis

This again reinforces that the high line provides the greatest advantage and that engagement from below is considered weaker by the Spanish tradition.

A Riddle of Inertia, Momentum, and Energy

It might be best to consider a fencer’s riddle and then examine some physics to provide us with an answer.

Riddle: How can you parry a greatsword with a dagger?

DANGER: A Bit More Physics…

Inertia is an object’s resistance to a change in the state of its motion.  Any object that is not moving requires force to accelerate it. For example, to swing a cut you will apply a force to the weapon to accelerate it towards the adversary’s head.  If we ignore rotational motion in this discussion, the required force is defined as:

Force = (mass of sword) x (acceleration)

In order to decelerate or stop a moving object you have to apply the same type of force.

Momentum is defined as the product of velocity and mass which does not provide us much perspective into its effect in swordplay, but it is useful for determining behavior during collisions because momentum is conserved.  That means that a heavy object moving very quickly (like a greatsword) that is forcibly stopped by a smaller one will transfer momentum to the smaller object.

Momentum = (mass of sword) x (sword velocity)

Kinetic Energy tells us how much energy is delivered with an attack.  The most important element in delivering a powerful attack is the velocity as shown here:

Kinetic Energy = 1/2 x (mass of sword) x (sword velocity) x (sword velocity)

By plugging in some numbers we can see how this might turn out.  First, we can weight the two equally as shown here:

  • Mass = 2
  • Velocity = 2

Kinetic Energy = 1/2 x (2) x (2) x (2) = 4

If we double the mass we achieve an increase in energy as shown here:

  • Mass = 4
  • Velocity = 2

Kinetic Energy = 1/2 x (4) x (2) x (2) =8

If we instead double the velocity we achieve a much more powerful attack:

  • Mass = 2
  • Velocity = 4

Kinetic Energy = 1/2 x (2) x (4) x (4) =16

Carranza Answers the Riddle

In Carranza’s Philosophy on folio 180 we see an odd figure with a dagger, a sword, a hand, and a head surrounded by geometric figures.  (This is one of only six figures in the treatise.)

Carranzas Analogy for Momentum and Inertia

Carranza's Analogy for Momentum, Inertia, and Energy (Click for High Resolution)

If you close one eye and lift your index finger, holding it away from your face like the man in the image, it obscures only a very tiny portion of your sight.  As you bring your finger back towards your eye (the source of your sight) it becomes larger and obscures more.  If your finger is close enough to the origin, it can block out your entire view. What this tells us is that even a tiny finger can obscure a large object when it intercepts the vision at the beginning.

Carranza uses this as an analogy to tell us that in the same way, even a dagger can parry a powerful greatsword if it intercepts the cut close to the beginning of the attack. (Looking at the image above you can imagine intercepting the attack where it begins at the point labeled N.)  Because the velocity is close to zero it is easy to halt (Inertia), the Momentum is low, and the Kinetic Energy delivered at the beginning of the cut is also very low.

If you intercept the same cut at the point labeled O, the velocity of the attack has increased and your parry can easily fail.

Riddle: How can you parry a greatsword with a dagger?

Carranza’s Philosophy… f.180 (1675)

“These movements are weak in all their beginnings,… “

~Translated by Mary Curtis

Answer: Parry the attack when the velocity is zero or very low.

Conclusion

I have used the physics described by Isaac Newton’s Philosophiæ Naturalis Principia Mathematica to explain some of the different aspects of how a sword functions but this text wasn’t published until 1687.  The equation for kinetic energy was not discovered until 1829 by a French mathematician named Gustave Coriolis.  Even considering that the fencing masters of Spain used the physics and motion described by classical authors like Aristotle, they knew qualitatively how weapons moved in combat which provides their work with a high level of sophistication.

Italian Rapier Flowchart

(10/12/2009)

After WMAW 2007 I prepared this Italian rapier flowchart to explain some of the possible actions when executing tactical drills with a student.

Italian Rapier Flowchart

Italian Rapier Flowchart (Click for High Resolution)

There are things I would change about this chart today.  This flowchart does not include actions like attacks to the leg, the use of the off hand, and it doesn’t get into detail about execution, but as a basic learning aid I still like it provided the instructor does not limit the instruction solely to this decision tree.

~P.