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The rule was known to a number of ancient civilizations, including also the Greek and the Chinese, and was recorded in Mesopotamia as far back as 1800 BCE. [7] For the most part, the Śulvasūtras do not contain proofs of the rules which they describe. The rule stated in the Baudhāyana Śulvasūtra is:
In propositional logic, modus ponens (/ ˈmoʊdəsˈpoʊnɛnz /; MP), also known as modus ponendo ponens (from Latin 'method of putting by placing'), [ 1 ]implication elimination, or affirming the antecedent, [ 2 ] is a deductive argument form and rule of inference. [ 3 ] It can be summarized as " P implies Q.P is true.
1.9. The diagonal of a square produces double the area [of the square]. [...] 1.12. The areas [of the squares] produced separately by the lengths of the breadth of a rectangle together equal the area [of the square] produced by the diagonal. 1.13. This is observed in rectangles having sides 3 and 4, 12 and 5, 15 and 8, 7 and 24, 12 and 35, 15 ...
Transformation rules. In logic and the philosophy of logic, specifically in deductive reasoning, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of inference called modus ponens ...
The Vedic period, or the Vedic age (c. 1500 – c. 500 BCE), is the period in the late Bronze Age and early Iron Age of the history of India when the Vedic literature, including the Vedas (c. 1500 –900 BCE), was composed in the northern Indian subcontinent, between the end of the urban Indus Valley Civilisation and a second urbanisation, which began in the central Indo-Gangetic Plain c. 600 BCE.
3.1.1.1 Fourfold Dharma of a Brahmin (2.26 – 6.96) (contains the longest section of Manusmriti, 3.1, called dharmavidhi) [18] 3.1.1.2 Rules of Action for a King (7.1 – 9.324) (contains 960 verses, includes description of institutions and officials of state, how officials are to be appointed, tax laws, rules of war, the role and limits on ...
Definition of congruence in analytic geometry. In a Euclidean system, congruence is fundamental; it is the counterpart of equality for numbers. In analytic geometry, congruence may be defined intuitively thus: two mappings of figures onto one Cartesian coordinate system are congruent if and only if, for any two points in the first mapping, the ...
e. Satya Yuga (a.k.a. Krita Yuga) (IAST: Kṛta-yuga), in Hinduism, is the first and best of the four yugas (world ages) in a Yuga Cycle, preceded by Kali Yuga of the previous cycle and followed by Treta Yuga. [1][2] Satya Yuga lasts for 1,728,000 years (4,800 divine years). [3][4][5] Satya Yuga is known as the age of truth, when humanity is ...