Maharishi baudhayana

Sri Rudram hymn is a part of YajurVeda Samhita (which I discuss The sixth mantra of 1st Anuvaka states: अध्यवोचदधिवक्ता प्रथमो दैव्यो भिषक् । अहींश्च सर्वान् जम्भयन् सर्वाश्च यातुधान्यः ॥ The lord who speaks in favour of devotees, may he speak in favour of me (AdhyavochadAdhivakta), the foremost (Prathamo), present as godliness in Gods (Daivyo), the Doctor who treats all troubles (Bhisak). May he destroy (Jambhayan), seen enemies like serpents scorpions... (Sarvãn Ahinscha) and unseen enemies like ghosts, spritis, rakshasas (Sarvãscha yãtudhãnya:) From the meaning of the mantra itself it is clear that the mantra is asking for protection from everything from Lord Shiva, so it itself is like a Kavacham (Armour). The commentary on Sri Rudram given by Kamakoti site Chanting this mantra is capable of completely destroying miseries from Rakshasas, spirits, poison, fever etc. Hence this mantra has been hailed as ‘kavacham’ (armour) by Maharishi Bodhayana. So, I'm interested, Where does Maharshi Bodhayana calls this mantra as Kavacham or Armour ?

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BAUDHAYANA (PYTHAGORAS) THEOREM It was ancient Indians mathematicians who discovered Pythagoras theorem. This might come as a surprise to many, but it’s true that Pythagoras theorem was known much before Pythagoras and it was Indians who actually discovered it at least 1000 years before Pythagoras was born! It was Baudhāyana who discovered the Pythagoras theorem. Baudhāyana listed Pythagoras theorem in his book called Baudhāyana Śulbasûtra (800 BCE). Incidentally, Baudhāyana Śulbasûtra is also one of the oldest books on advanced Mathematics. The actual shloka (verse) in Baudhāyana Śulbasûtra that describes Pythagoras theorem is given below : “dīrghasyāk ṣ a ṇ ayā rajjuH pārśvamānī, tiryaDaM mānī, cha yatp ṛ thagbhUte kurutastadubhayā ṅ karoti.” Interestingly, Baudhāyana used a rope as an example in the above shloka which can be translated as – A rope stretched along the length of the diagonal produces an area which the vertical and horizontal sides make together. As you see, it becomes clear that this is perhaps the most intuitive way of understanding and visualizing Pythagoras theorem (and geometry in general) and Baudhāyana seems to have simplified the process of learning by encapsulating the mathematical result in a simple shloka in a layman’s language. Some people might say that this is not really an actual mathematical proof of Pythagoras theorem though and it is possible that Pythagoras provided that missing proof. But if we look in the same Śulbasûtra, we find that ...

Indian Mathematicians Who is Baudhayana? Baudhayana (800 BC – 740 BC) is said to be the original Mathematician behind the Pythagoras theorem. Pythagoras theorem was indeed known much before Pythagoras, and it was Indians who discovered it at least 1000 years before Pythagoras was born! The credit for authoring the earliest Sulba Sutras goes to him. It is widely believed that he was also a priest and an architect of very high standards. It is possible that Baudhayana’s interest in Mathematical calculations stemmed more from his work in religious matters than a keenness for mathematics as a subject itself. Undoubtedly he wrote the Sulbasutra to provide rules for religious rites, and it would appear almost certain that Baudhayana himself would be a Vedic priest. The Sulbasutras is like a guide to the Vedas which formulate rules for constructing altars. In other words, they provide techniques to solve mathematical problems effortlessly. If a ritual was to be successful, then the altar had to conform to very precise measurements. Therefore mathematical calculations needed to be precise with no room for error. People made sacrifices to their gods for the fulfilment of their wishes. As these rituals were meant to please the Gods, it was imperative that everything had to be done with precision. It would not be incorrect to say that Baudhayana’s work on Mathematics was to ensure there would be no miscalculations in the religious rituals. Works of Baudhayana Baudhayana is credited w...

Contents • 1 Use of mathematics in construction of Altars • 2 Sulbasutra • 2.1 Value of Pi • 2.2 Value of square root of 2 • 3 References Use of [ ] The Sulbasutra [ ] Baudhayana's Sulbasutra is the oldest surviving Sulbasutra. In one chapter, it contains geometric solutions of a linear equation with a single unknown variable. Quadratic equations of the forms ax2 = c and ax2 + bx = c are also described. Value of Pi [ ] Several values of π (pi) also occur in Baudhayana's Sulbasutra. Specifically, Baudhayana uses different approximations for π when constructing circular shapes. Constructions are given which are equivalent to taking π equal to 676/225 (where 676/225 = 3.004), 900/289 (where 900/289 = 3.114) and to 1156/361 (where 1156/361 = 3.202). Value of square root of 2 [ ] An interesting, and quite accurate, approximate value for √2 is given in Chapter 1 verse 61 of Baudhayana's Sulbasutra. The √2 = 1 + 1/3 + 1/(3×4) - 1/(3×4×34)= 577/408 which is, to nine places, 1.414215686 and is correct to five decimal places. If the approximation was given as √2 = 1 + 1/3 + 1/(3×4) then the error is of the order of 0.002 which is still more accurate than any of the values of π. Thus, it is unclear as to why Baudhayana felt the need for a better approximation for √2 vs π and implies that better approximations of π could have been known at the time but are not provided in this document. References [ ] • G G Joseph, The crest of the peacock (London, 1991). • R C Gupta, Baudhayana's val...

Pythagorean (Pythagoras) Theorem in Baudhayana Sulba Sutra (800BC) In mathematics, the Pythagorean (Pythagoras) theorem (written around 400 BC) is a relation among the three sides of a right triangle (right-angled triangle). In terms of areas, it states: “In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).” But in reality, this was written much earlier in ancient india by sage Baudhayana (around 800 BC). He is noted as the author of the earliest Sulba Sūtra—appendices to the Vedas giving rules for the construction of altars—called the Baudhāyana Śulbasûtra, which contained several important mathematical results. He is accredited with calculating the value of pi (π) before Pythagoras. Solka in Baudhāyana Śulbasûtra that describes Pythagoras theorem is given below : dīrghasyākṣaṇayā rajjuH pārśvamānī, tiryaDaM mānī, cha yatpṛthagbhUte kurutastadubhayāṅ karoti. Baudhāyana used a rope as an example in the above sloka. Its translation means : A rope stretched along the length of the diagonal produces an area which the vertical and horizontal sides make together. Proof of Pythagoras theorem has been provided by both Baudhāyana and Āpastamba in their Sulba Sutras. Though, Baudhāyana was not the only Indian mathematician to have provided Pythagorean triplets and proof. Āpastamba also provided the ...