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It is possible, as proposed by mathematical historian Radha Charan Gupta, that the geometry was developed to meet the needs of ritual. [13] Some scholars go farther: Staal hypothesizes a common ritual origin for Indian and Greek geometry, citing similar interest and approach to doubling and other geometric transformation problems. [ 14 ]
The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.
Olivelle states that Book One and the first sixteen chapters of Book Two are the 'Proto-Baudhayana' [4] even though this section has undergone alteration. Scholars like Bühler and Kane agree that the last two books of the Dharmasūtra are later additions. Chapter 17 and 18 in Book Two lays emphasis on various types of ascetics and acetic ...
This extra Hermitian structure is applied as a substitute for the failure of the scheme Spec to be a complete variety. Note that other techniques exist for constructing a complete space extending Spec ( Z ) {\displaystyle {\text{Spec}}(\mathbb {Z} )} , which is the basis of F 1 geometry .
— The Buddha, Digha Nikaya II.251, Translated by Harvey B. Aronson [11] According to Richard Gombrich , an Indologist and scholar of Sanskrit , Pāli , the Buddhist usage of the brahmavihārā originally referred to an awakened state of mind, and a concrete attitude towards other beings which was equal to "living with Brahman" here and now.
Statue of the Buddha at Bojjannakonda, Andhra Pradesh, India. The Tathāgatagarbha Sūtra is an influential and doctrinally striking Mahāyāna Buddhist scripture which treats of the existence of the "Tathāgatagarbha" (Buddha-Matrix, Buddha-Embryo, lit. "the womb of the thus-come-one") within all sentient creatures.
The Visuddhimagga's doctrine reflects Theravada Abhidhamma scholasticism, which includes several innovations and interpretations not found in the earliest discourses (suttas) of the Buddha. [ 4 ] [ 5 ] Buddhaghosa's Visuddhimagga includes non-canonical instructions on Theravada meditation , such as "ways of guarding the mental image (nimitta ...
The Buddha rejects Māra's advice, and finally Māra retreats. During these first seven weeks, the Buddha also encounters some local passersby, but no teaching is given. Chapter 25: Brahmā, Śakra, and the other gods sense the Buddha's hesitation. They visit the Buddha and formally request him to teach the Dharma.