
16 LESSONS
Subtitle:Volume 2, Intermediate
Content:"
LESSON 1 BASIC DEVICES
Introduction
Digit Sums
Left to Right
Addition
Multiplication
Advantages of left to Right Calcn
Writing Left to Right Sums
Checking Devices
Subtraction
Subtraction from Left to Right
Checking Subtraction Sums
LESSON 2 MORE BASIC DEVICES
Number Splitting
Addition 14 / Subtraction
Multiplication 16 / Division
All from 9 and the Last from 10
Subtraction from a Base
Calculations Involving Money
First Extension
Second Extension
Combining the Extensions
Bar Numbers
Advantages of Bar Numbers
General Subtraction
LESSON 3 SPECIAL METHODS
Proportionately
Doubling and Halving
Extending the Multiplication Tables
Multiplying by 5, 50, 25
All from 9 and the Last from 10: Multiplication
Numbers just below 100
Geometrical Proof
Algebraic Proof
Other Bases
Numbers above the Base
One Number ABOVE and one below the Base
Proportionately
Multiplying Numbers near Different Bases
Squaring Numbers near a Base
Mental Calculations
Special methods
LESSON 4 BY ONE MORE THAN THE ONE BEFORE
Special Multiplications
Squaring Numbers that End in 5
A Variation
Multiplication Summary
Recurring Decimals
Denominator Ending in 9
Proof
A Short Cut
Proportionately
Longer Numerators
LESSON 5 AUXILIARY FRACTIONS
Auxiliary Fractions: First Type
Denominators Ending in 8, 7, 6
Auxiliary Fractions: Second Type
Denominators Ending in 1
Alternative Method
Denominators Ending in 2, 3, 4
Working 2, 3 etc. Figures at a Time
LESSON 6 VERTICALLY AND CROSSWISE
Fractions
Adding & Subtracting Fractions
Proof
A Simplification
Comparing Fractions
Multiplication and Division
General Multiplication
Revision
Multiplying 2-Figure Numbers
Explanation
Explanation of earlier special method
The Digit Sum Check
Multiplying 3-Figure Numbers
Moving Multiplier
Algebraic Multiplications
The Digit Sum Check
Three-Figure Numbers
Four-Figure Numbers
Writing Left to Right Sums
From Right to Left
Setting the sums out
Using Bar Numbers
LESSON 7 SQUARES AND SQUARE ROOTS
General Squaring
Two-Figure Numbers
Number Splitting
Algebraic Squaring
Squaring Longer Numbers
Written Calculations – Left to Right
Written Calculations – Right to Left
Square Roots of Perfect Squares
LESSON 8 SPECIAL MULTIPLICATION METHODS
Special Numbers
Repeating Numbers
Proportionately
Disguises
Using the Average
PROOF
Multiplication by Nines
Multiplication by 11
Percentages
Increasing
Reducing
LESSON 9 TRIPLES
Definitions
Triples for 45°, 30° and 60°
Triple Addition
Double Angle
Variations of 3,4,5
Quadrant Angles
Rotations
LESSON 10 SPECIAL DIVISION
Division by Nine
Adding Digits
A Short Cut
Dividing by 8
Algebraic Division
Dividing by 11, 12 etc.
Larger Divisors
Divisor just Below a Base
A Simplification
Divisor just Above a Base
Proportionately
LESSON 11 STRAIGHT DIVISION
Single Figure on the Flag
Short Division Digression
Longer Numbers
Multiplication Reversed
Decimalising the Remainder
Negative Flag Digits
Larger Divisors
Algebraic Division
LESSON 12 EQUATIONS
Linear
One x Term
Two x Terms
Quadratic Equations
Simultaneous Equations
By Addition and By Subtraction
A Special Type
General Method
Another Special Type
LESSON 13 APPLICATIONS OF TRIPLES
Triple Subtraction
Triple Geometry
Angle Between Two Lines
Half Angle
Coordinate Geometry
Gradients
Circle Problems
Length of Perpendicular
LESSON 14 SQUARE ROOTS
Squaring
Square Root of a Perfect square
Preamble
Two-Figure Answer
Reversing Squaring
Three-Figure Answer
Reversing Squaring
General Roots
Changing the Divisor
Heuristic Proof
LESSON 15 DIVISIBILITY
Elementary Parts
The Ekadhika
Osculation
Explanation
Testing Longer Numbers
Other Divisors
The Negative Osculator
LESSON 16 COMBINED CALCULATIONS
Algebraic
Arithmetic
Pythagoras Theorem
SUTRAS AND SUB-SUTRAS
9-POINT CIRCLES
REFERENCES
INDEX OF THE VEDIC FORMULAE
INDEX
Date: 2003
Pages: 200
Binding: Hard Cover
Publisher: Motilal Banarsidass
Author: Kenneth Williams
ISBN:
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WHAT OUR TRADERS SAY…
When I was able to get an early copy of Alex’s 3rd book ‘Music of the Spheres’ I was stunned by the amount and quality of the information he provides. Alex ties together astronomy, music, and correct scaling to provide a glimpse inside the market’s true structure. He clarifies the work W D Gann did a hundred years ago and then brings that work into the modern world where we can adjust scales and track planets with a click of a mouse button.
Mr. Straker is also a gifted and willing mentor if someone wishes to accelerate their learning curve with some one to one work with him.
I have read many books in 30 years of market study and was fortunate to be able to spend hours looking over the W. D. Gann archives in Nikki Jones' possession. I believe Alexander Straker has written material that will go down in history as the truly definitive work on understanding W D Gann. He also has shown how the original Gann methods can be expressed in greater detail with the use of computer chart programs.
Lorrie has a profound gift of seeing patterns and of perceiving the underlying order within whatever subject she directs her attention towards. Additionally, she has the gift of perceiving not only what is truly being said, but more importantly, what is not. She has taken on the works of W. D. Gann and Dr. Jerome Baumring in a total immersion. Her tenacity, will, and energy have been the sails, the current, and the wind of her voyage through the illusory and sometimes rocky waters of W. D. Gann.
Alex has shared a tremendous amount of knowledge invaluable to Gann students and traders. It is apparent that Alex has studied market behaviour with a great deal of enthusiasm for many years, and given considerable thought to distilling the essence of past and current masters to come up with his own unique theory about how it all fits together around the golden mean. His generosity in sharing his insights is only matched by the number of pages in this insightful volume!
I've covered a lot of material in many years of research, but never have I come across insights which more clearly point to an underlying mathematical structure to price markets which become discernible through proper scaling. Alex's scaling methods and insights are the best I've come across, particularly his angle-based approach. I'm sure that any serious student of Gann would be impressed with the unique insights generously shared by Alex and would find return for their investment in the scaling methodology alone.