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Diff — Indian mathematics

Revision #178 → #1314 · back to history

addedPythagorean theorem (Śulba Sūtras)ed961266e638
addedBaudhayana Pythagorean triples565c33402cc8
addedPythagorean theorem for a square (Baudhayana)01f7a87fcb62
addedPythagorean theorem for a rectangle (Baudhayana)80f8cf9a9f2d
addedApproximation of the square root of two (Baudhayana)f41997023bde
addedConstruction of Meru-prastāra (Pascal's triangle)a24a00c262af
addedCombinatorial identity (Pingala)5db9d6cfd0ef
addedClassification of numbers (Jain)16f5b42298cc
addedFive types of infinity (Jain)943934087f35
addedFactorials (Anuyogadwara Sutra)6f56e7e61124
addedBhuta-sankhya object numbers8c0aa4063ffd
addedBakhshali equalisation problem92ab855bc12a
addedTrigonometric functions (Surya Siddhanta)33be860c2c46
addedValue of π (Aryabhata)c9e4fd10e384
addedDefinition of sine (Aryabhata)34f29d0d2b73
addedSine, cosine and versine tables (Aryabhata)161477e2c6a7
addedSine difference formula (Aryabhata)7c2b85b359ff
addedSum of cubes formula (Aryabhata)d808aeee66c8
addedGeneral solution of the indeterminate linear equation (Aryabhata)b121254f7eda
addedSine-cosine relations (Varahamihira)655cd3521603
addedBrahmagupta's theoremd99b5f205b2e
addedBrahmagupta's formulab66cb0ac7b34
addedBrahmagupta's theorem on rational triangles4226c0c4a1e5
addedArithmetic rules for zero and negatives (Brahmagupta)e23a01d7a73a
addedSolution of the quadratic equation (Brahmagupta)b03cfef32ef5
addedBrahmagupta's identityc21489e94230
addedBrahmagupta's lemma (Pell's equation)4f35d58c9c88
addedBrahmagupta's theorem on Pell's equation86996ed1de41
addedBrahmagupta's Pell equation example5d4cca221efb
addedSine of an acute angle without a table (Bhaskara I)d8678e2c492e
addedArdhaccheda (Virasena)8ff2c11e9b34
addedVolume of a frustum (Virasena)c32f9c26c484
addedArea of an ellipse (Mahavira)62caf7d5b7fd
addedSquare root of a negative number (Mahavira)2fcc4ce4f1ee
addedSum of squares of an arithmetic progression (Mahavira)d81d4b366729
addedGeneral solutions of higher order polynomials (Mahavira)1bdce75aa9de
addedVolume of a sphere (Shridhara)4b22a0576524
addedSolving quadratic equations (Shridhara)b3b00ae56c74
addedDerivative of sine (Manjula)bf5253e1f11f
addedEarly form of Rolle's theorem (Bhaskara II)4f3e13ba2a62
addedCosine as derivative of sine (Bhaskara II)117e655616cf
addedValue of π to five places (Bhaskara II)afdf550b22d6
addedProof of the Pythagorean theorem (Bhaskara II)843761e05423
addedA positive number has two square roots (Bhaskara II)1cf130d3c2f1
addedDivision by zero is infinity (Bhaskara II)6f32186e9dd1
addedTrigonometric formulas (Bhaskara II)82e6c9f5e12a
addedSeries expansions for trig functions (Kerala)e0704bb47f0a
addedInfinite geometric series (Kerala)9e88a28c232d
addedSum of powers for large n (Kerala)49f709d94326
addedTaylor–Maclaurin series for sin, cos, arctan (Kerala)4cb917f6abae
addedLeibniz formula for π (Kerala)e3541b562066
addedRational approximation of π (Kerala)a97501c03c92
addedDifferentiation of trig functions (Kerala)c30a944d00b0
addedInteger solutions to 21 systems (Citrabhanu)9f2644bb66ad
addedVersion of the mean value theorem (Parameshvara)79bffcc92d4d
addedCows and calves problem (Narayana)9484884326ba
addedNarayana's recurrence sequence1f3e6dda6cbb
addedSupergolden ratio limit (Narayana)e3b41ad36061