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NEWSCIENCENEWSCIENCENEWSCIENCE VEDIC NUMERICAL CODIFIED KNOWLEDGE How the ancient seers sang the long decimal form of Pi n ancient India, they would sing songs to memorise long deci- mals. The Brahmans or scholarly caste, secretive of their knowl- edge, sonically encrypted mathematical formulas into their devo- tional praises or hymns to Lord Sri Krishna and also recorded his- torical data in codified lyrics. The system has similarities with numerology, where values of numbers are ascribed to consonants (as in A = 1, B= 2, C=3, D= 4), but the Vedic numerical code was so sophisticated in Sanskrit that it possessed three layers and therefore triple meanings. It turns out that the decimal form of the transcendental number, Pi = 3.1415926535897932384626433832792..., was hidden or codified in the syllables in the following chant: Gopi Bhagyamaduwy rata Shringishodadi Sandiga Kala Jeevitarava Tava Galaddhalara Sangara Similarly, all other numbers that end in 5, when squared, can be calculated instantly: 15 squared = 1x2 /5x5 = 2/25 = 225 35 squared = 3x4 /5x5 = 12/25 = 1,225 45 squared = 4x5 /5x5 = 20/25 = 2,025 95 squared = 9x10/5x5 = 90/25 = 9,025 Sutra: "Vertically and Crosswise" Here is another simple sutra, the one that Bharati Krsna Tirthaji refers to as most widely used, called "Vertically and Crosswise". It solves all multiplication by application of a pattern, which is registered by the right brain as feminine-natured mathematics (i contrast to the logical, male, left-brain style of mathematics generally taught at school). The top line, go = 3, pi= 1, bha=4, ya=1, ma =5, dhu=9, ra = 2, ta = 6, etc., gives the first eight figures of pi (1), the ratio of the circumference of a circle to its diameter. Not only did the code give pi to 32 decimal places, but there was a secret Master Key within the patterning of the 32 that could unlock the next 32 decimals of pi, and so on—a ticket to infinity! The code not only praised Krishna, it operated on another level as a dedication to Shankara. (Around AD 800, Shankara was a celebrated acharya, or teacher, who founded four monastic orders. He could read at the age of two and had mastered the Vedas by the time he was eight. He wrote scholarly commentaries on The Bhagavad-Gita and Upanishads, which led to the decline of Buddhism in India. He is considered a partial incarnation of the avatar Shiva.) This sutra shows we will have a three-digit answer, represented by the three short horizontal lines. Here is how we traditionally write the setting out for "26 x 31": 26 x31 Notice there are four digits involved. Let each digit be represented by a small circle or dot, according to the format shown in the diagram above. This will help you understand "cross- addition", which is shown as the middle part [(2 x 1) + (6 x 3)] and uses both multiplication and addition in the form of the letter "X", corresponding with the crossover of the optical nerve in the brain. (Below, the small letter "x" stands for multiplication.) = 2x3 (2x1)+(6x3) 6x1 = 6 20 6 ("2" is carried over) = 8 0 6 = 806 An Ancient System for the Modern Age In conclusion, I believe the time has come for all secret knowl- edge of the past to be kept secret no longer. It is time for the ancient seers’ infallible mental and one-line system of Vedic Mathematics to be reintroduced. oo ("2" is carried over) About the Author: Jain is the author of nine self-published books on Sacred Geometry, which he has actively been researching and teach- ing for over 20 years. Topics include: Magic Squares and their Atomic Artforms; the Vedic Square and its Digital Sums; the Phi Proportion or the Living Mathematics of Nature; the Five Platonic Solids and the 13 Archimedean Solids; and Vedic Mathematics As an authorised school performer in a travelling show called "Mathemagics", Jain has taught thousands of children and adults in Australia the wonder of the pure mathematical principles relating to Atomic Art and discovery. He is current- ly writing a series of four books covering the Vedic Mathematics Curriculum for the Global School. If you would like a copy of Bharati Krsna Tirthaji's only book, Vedic Mathematics, or the video, Vedic Mathematics for the New Millennium —- Part 1: The Magic of Nine (see reviews this issue), contact: Jain, 777 Left Bank Road, Mullumbimby Creek NSW 2482, Australia, telephone +61 (0)2 6684 4409, email jain42@byrononline.net. Sutra: Digital Sums for Multiplication by Eleven When computer users need to move large volumes of electronic data efficiently, the solution employed is invariably compression. "Digital Compression" (or ''If the Samuccaya is the Same, it is Zero") is a powerful sutra that solves multiplication by 11 very quickly. If we want to multiply 25 by 11, we merely add the two digits of the 25 and say "2 + 5", which equals 7, and insert that digit between the other two digits. Thus the answer is 275. Another way of showing this is to separate the two digits and insert their digital sum: 25xll = 2 (2+5) 5 = 2 7 5 40 + NEXUS www.nexusmagazine.com OCTOBER —- NOVEMBER 2003