The people of the Indus Valley Civilization manufactured bricks whose dimensions were in the proportion 4:2:1, considered favourable for the stability of a brick structure.
They used a standardised system of weights based on the ratios: 1/20, 1/10, 1/5, 1/2, 1, 2, 5, 10, 20, 50, 100, 200, and 500, with the unit weight equaling approximately 28 grams (and approximately equal to the English ounce or Greek uncia).
The occurrence of the triples in the Sulvasutras is comparable to mathematics that one may encounter in an introductory book on architecture or another similar applied area, and would not correspond directly to the overall knowledge on the topic at that time.
Since, unfortunately, no other contemporaneous sources have been found it may never be possible to settle this issue satisfactorily. The remaining two, the Manava Sulba Sutra composed by Manava (fl.
300–200 BCE), a music theorist who authored the Chhandas Shastra (chandaḥ-śāstra, also Chhandas Sutra chhandaḥ-sūtra), a Sanskrit treatise on prosody.
There is evidence that in his work on the enumeration of syllabic combinations, Pingala stumbled upon both Pascal's triangle and binomial coefficients, although he did not have knowledge of the binomial theorem itself.
In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, and Bhaskara II.
The decimal number system in use today and led to further developments that now form the foundations of many areas of mathematics.
Although the Chandah sutra hasn't survived in its entirety, a 10th-century commentary on it by Halāyudha has.In the middle ones put the sum of the digits in the two squares above each. Of these lines, the second gives the combinations with one syllable, the third the combinations with two syllables, ... 3rd century BCE) is notable for being the last of the Vedic mathematicians.He wrote the Katyayana Sulba Sutra, which presented much geometry, including the general Pythagorean theorem and a computation of the square root of 2 correct to five decimal places.They designed a ruler—the Mohenjo-daro ruler—whose unit of length (approximately 1.32 inches or 3.4 centimetres) was divided into ten equal parts.Bricks manufactured in ancient Mohenjo-daro often had dimensions that were integral multiples of this unit of length.In the third line put 1 in the two squares at the ends and, in the middle square, the sum of the digits in the two squares lying above it.In the fourth line put 1 in the two squares at the ends.that of constructing fire altars which have different shapes but occupy the same area.The altars were required to be constructed of five layers of burnt brick, with the further condition that each layer consist of 200 bricks and that no two adjacent layers have congruent arrangements of bricks. 363), the Śulba Sūtras contain "the earliest extant verbal expression of the Pythagorean Theorem in the world, although it had already been known to the Old Babylonians." Since the statement is a sūtra, it is necessarily compressed and what the ropes produce is not elaborated on, but the context clearly implies the square areas constructed on their lengths, and would have been explained so by the teacher to the student.In the prose section, the form (and therefore its memorization) was not considered so important as the ideas involved.All mathematical works were orally transmitted until approximately 500 BCE; thereafter, they were transmitted both orally and in manuscript form.