Aiki-Budo

" SPECIAL "

# TRIANGULATION PRINCIPLE

by: Dr.John J.Williams, 9th dan Menkyo Kaiden- Takeda-Ryu

This is the first in a series of articles on the

"100 principles" of SAIGO-HA TAKEDA-RYU AIKIBUJUTSU.

This is listed in the Hiden Saigo-Ha scrolls as one of the "Inner Secrets" of Daito-Ryu Aiki Bujutsu and this is the first time that the actual formula has appeared in print.

(Takeda-Ryu /Daito-Ryu)

TRIANGULATION

What is TRIANGULATION And why is it one of the primary principles in the ability to disturb stability or prepare an opponent for a throw ?

• TRIANGULATION is the positioning of the body where it cannot recover from force being applied to it (in other words; Triangulation is the mathematical formula which allows applied force to place the human body in a position where it can be forced to fall in a particular direction and the person cannot prevent falling )
• Since the average martial artist is neither a scientist or mathmatician, we will attempt to use EASY TO UNDERSTAND terminology and examples to explain this formula or law to be applied in the martial arts.
• Before going into the law of triangulation,. We must understand that this is just ONE of the 100 acknowledged LAWS or PRINCIPLES which govern the physical and psychological realm of Takeda-Ryu /Daito-Ryu ! (but as such, it is applicable to all martial arts )
• The first thing we have to understand is called the Center Of Gravity :

The human body balances at a point which is roughly 3" below the naval ( belly button)

If you freeze a body and balance it on a point, that balance point will always be exactly 3 inches below the naval .

Note *If we take a HUMAN BODY and make it ridged (Say if we froze it solid) and place it on a balance point ( say ! We stick a staff / pole into the ground at a perfect right angle to the ground) you will find, regardless of the size or shape of the body, that it will balance approximately 3 inches below the naval (belly button ) and this is what is known as your CENTER OF BALANCE ( or center of gravity)

• To clarify this a little : If the body is paced on this pivot point anywhere ABOVE the CENTER OF GRAVITY (this always being 3-inches BELOW the naval) then the HEAD will rotate toward the ground ! And, on the other hand, if we place the body on this pivot / balance point, anywhere below the Center Of Gravity, the FEET will rotate toward the ground, whereas, if the body is placed on this pivot / balance point, exactly at it's Center of Gravity, the BODY will remain perfectly horizontal to the ground.
• ITo given an example of just how scientific the old masters were you will find in the Takeda-Ryu scrolls ( as well as in other arts such as Kito-Ryu, and Judo) that they always stress that if you want to THROW a person, you must always make sure your belt (obi ) is located BELOW his belt when you position yourself for a throw (and as you know ! all martial artists wear their belts around the waist at roughly 3 inches below the naval.)
• Your CENTER OF GRAVITY becomes the PIVOT POINT/ BALANCE POINT to effect the unbalancing part of the actual throw ! If you fail to do this, you will be required to apply extra force to overcome the force of gravity .

GRAVITY

GRAVITY ALWAYS PULLS DIRECTLY TOWARD THE CENTER OF THE PLANET ! WE can go farther in explaining GRAVITY, but, the KEY thing is to remember that GRAVITY always exerts a PULLING ACTION toward the EARTH's CORE and this pull is GREATER at the CENTER OF of the MASS of the OBJECT being acted on !

• All things with WEIGHT ( or mass) have a specific CENTER OF GRAVITY ! ( There are no exceptions to this law) Each THROW (regardless of the ART) is based upon the use of gravity to create an unstable state from which minimal force is required in order to have the body fall prey to the effects of gravitational pull ! ( and it then come crushing toward the earth's surface !)
• You can compare "GRAVITY" to a magnetic pull, with the earth's core being the magnet, pulling on anying on the earth's surface which has mass.
• So ! The TRUE master uses his best friend , that being GRAVITY , to overcome his oponant ! (If you understand GRAVITY, you will UNDERSTAND the ART OF THROWS ! ) GRAVITY PULLS - YOU FALL !!!!

HOW WE TESTED TRIANGULATION

To test for the effectiveness of triangulation, we used ropes, pulleys and weights to see where the force had to be applied to best unbalance the human body ! ( by moving pulley "A" away from body toward weight we found the best triangulation points )

Our results were that the shoulder level was the best anchor points to successfully use the force and create the unstable situation where the person could not bend their knees, step forward or lean backwards/forward in order to retain their balance and prevent being thrown.( or falling to the earth's surface)

Achor Points

Anchor Points refers to the place where force is applied to ! ( it can be a pushing or pulling force ) , and the location where the anchor point is applied effects it's effectiveness as shown in the following chart ! The higher the point, the greater the effect by the triangulation pressure applied .

RESULTS OF ANCHOR- POINT STUDIES :

• It was found that the BEST ANCHOR Points are in the area between the SHOULDERS and 5 inches ABOVE the center of GRAVITY, ( or roughly 2 - inches ABOVE the "belly button " ! ),
• And that the HEAD was a POOR ANCHOR POINT in that it had too much flexibility in the NECK to overcome in using the triangulation effect ! ( * of course ! Anchor points around the neck and on the head are used in techniques using either circular actions or joint stressing reactive techniques ! )

RESULTS OF TRIANGULATION POINT TESTING :

The GENERAL RULE of triangulation is to merely draw a straight line between the heels of both feet of your oponant, and then apply force toward a point at a direct angle of that line at a distance of 3/4 the distance of the first line .

• In reality there is MORE to TRIANGULATION that to use that over-simplified rule since there is not only FRONTAL TRIANGULATION, but REAR TRIANGULATION and ANGULATION ! And EACH one has their own formula and uniqueness !

FORMULAS :

• FRONTAL TRIANGULATION Frontal triangulation is that point forward at a perfect right-angle of the position of the oponant's feet which is between ½ and 3/4 the distance between oponants FEET ! * in other words, if you are using the correct anchor point, (the shoulder level) if you apply your PULLING FORCE toward a point which is roughly ½ to 3/4 the distance between your oponant's feet, they will be unable to step forward, bend their knees or lean forward to stop from being thrown forward !

ANGULAR TRIANGULATION

Angular triangulation does not follow the same general rules as the Frontal , Side or Rear triangulations !

• In Angular triangulation, the higher the ANCHOR point the better, and the further away from the oponants body (via anchoring to the hands or feet, or loose clothing ) the easier the unbalancing action will be !
• Unlike other types of triangulation, in angular triangulation, the direction of applied force should be between 20 to 45-degrees from the ground or mat surface, with 45% being the best angle to apply force. ( this is due to the relation of the oponant's feet in regard to your anchor points )
• ANGULAR THROWS are USUALLY KNOWN AS " FLOATING" throws !

REAR TRIANGULATION :

Rear triangulation is that point to the rear which is at a direct right angle to a direct line between the oponant's heel which is located at any pint between 1/8 to 100 % of the distance between the oponant's heels !

• In other words : Using any anchor POINT located above 5" higher than the center of gravity, you can successfully cause the person to fall to his/her rear if that force is applied to a point on the ground/mat which is located more than 1/8th and the full distance between the oponant's heel !
• Less force is required in rear triangulation due to the roundness of the oponant's heels and his/her inability to successfully lean backwards to overcome the applied force.
• Many REAR Throwing techniques involve pulling and/or pushing type force , where frontal techniques use mostly pulling force to execute the technique.

SIDE TRIANGULATION :

In SIDE TRIANGULATION, the force is applied to a point which is the SAME as that of REAR TRIANGULATION (between 1/8 to 100% of the distance between the oponant's heels ! )

• But directly to the SIDE of the person's HIP ! (since the HIP is where that person's CENTER OF GRAVITY is located )
• Like REAR TRIANGULATION, force is applied at a point (on the ground) located between 1 / 8 th and 100 % of the distance between the oponant's heels !
• (The only escape by the oponant is a twisting motion of his/her body TOWARD the attacker ! ) ,
• * In both REAR and SIDE triangulation, a much LOWER anchor point can be used due to the inflexibility of the spine in that direction than in FRONTAL TRIANGULATION !

TRIANGULATION is a trademark of the TAKEDA-RYU/DAITO-RYU AIKI BUDO/AIKIJUJUTSU system ! It is based on scientific studies carried-out over hundreds of years of martial arts training !

The SAIGO-HA TAKEDA-RYU(DAITO-RYU) , under Dr.John J.Williams, has done extensive research on TRIANGULATION ( as well as all the 100 principles) and they prepared actual force & vector charts on the TRIANGULATION studies !

• However, the general RULES listed in this article will allow anyone mastering throws to implement the LAW OF TRIANGULATION with great success !
• Other LAWS also come into effect in the area of throws, takedowns, and body controlling techniques, and to fully appreciate the beauty and complexity of these techniques one should study as many of the BASIC 100 PRINCIPLES of TAKEDA-RYU as possible.
• Any one can perform a physical technique such as a throw ! (you can teach a monkey to do it !) But, TAKEDA-RYU/DAITO - RYU has gone one step farther : They have RAISED the TRADITIONAL MARTIAL ARTS to a SCIENCE of BEAUTY and WONDER !

• Dr.John J.Williams studied the principals of TAKEDA-RYU/DAITO-RYU under a scientist who was able to dissect the LAWS OF NATURE which governed even the most complicated technique and turn them into understandable terms, making them easier to master and retain for years afterward !

Saigo-Ha Takeda-Ryu Aiki Budo

All material herein is protected by international copyrite laws