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Person: al-Khwarizmi (Abbasid Islamic / Khorasan) Difficulty: intermediate | Topics: algebra, quadratic equations, geometric proof, completion of the square
tea-al-khwarizmi-001
al-Khwarizmi
Abbasid Islamic / Khorasan
verified-from-primary
intermediate
algebra, quadratic equations, geometric proof, completion of the square
true
unknown
Person: al-Khwarizmi (Abbasid Islamic / Khorasan) Difficulty: intermediate | Topics: arithmetic, root extraction, Indian numerals, positional notation
tea-al-khwarizmi-004
al-Khwarizmi
Abbasid Islamic / Khorasan
verified-from-primary
intermediate
arithmetic, root extraction, Indian numerals, positional notation
true
unknown
Person: al-Khwarizmi (Abbasid Islamic / Khorasan) Difficulty: introductory | Topics: algebra, quadratic equations, canonical forms, al-jabr
tea-al-khwarizmi-005
al-Khwarizmi
Abbasid Islamic / Khorasan
verified-from-primary
introductory
algebra, quadratic equations, canonical forms, al-jabr
true
unknown
Person: al-Khwarizmi (Abbasid Islamic / Khorasan) Difficulty: introductory | Topics: algebra, linear equations, al-muqabala, reduction
tea-al-khwarizmi-003
al-Khwarizmi
Abbasid Islamic / Khorasan
verified-from-primary
introductory
algebra, linear equations, al-muqabala, reduction
true
unknown
Person: Madhava of Sangamagrama (Kerala School of Mathematics and Astronomy) Difficulty: intermediate | Topics: infinite series, pi approximation, convergence, circle
tea-madhava-001
Madhava of Sangamagrama
Kerala School of Mathematics and Astronomy
verified-from-primary
intermediate
infinite series, pi approximation, convergence, circle
true
unknown
Person: Madhava of Sangamagrama (Kerala School of Mathematics and Astronomy) Difficulty: advanced | Topics: infinite series, cosine, trigonometry, power series
tea-madhava-004
Madhava of Sangamagrama
Kerala School of Mathematics and Astronomy
verified-from-primary
advanced
infinite series, cosine, trigonometry, power series
true
unknown
Person: Madhava of Sangamagrama (Kerala School of Mathematics and Astronomy) Difficulty: advanced | Topics: infinite series, arctangent, trigonometry, Kerala school
tea-madhava-002
Madhava of Sangamagrama
Kerala School of Mathematics and Astronomy
verified-from-primary
advanced
infinite series, arctangent, trigonometry, Kerala school
true
unknown
Person: Madhava of Sangamagrama (Kerala School of Mathematics and Astronomy) Difficulty: advanced | Topics: infinite series, sine, trigonometry, power series
tea-madhava-003
Madhava of Sangamagrama
Kerala School of Mathematics and Astronomy
verified-from-primary
advanced
infinite series, sine, trigonometry, power series
true
unknown
Person: Liu Hui (Han / Three Kingdoms Chinese) Difficulty: intermediate | Topics: pi approximation, polygon method, gou-gu rule, circle
tea-liu-hui-001
Liu Hui
Han / Three Kingdoms Chinese
verified-from-primary
intermediate
pi approximation, polygon method, gou-gu rule, circle
true
unknown
Person: Liu Hui (Han / Three Kingdoms Chinese) Difficulty: introductory | Topics: gou-gu rule, right triangle, geometry, dissection proof
tea-liu-hui-002
Liu Hui
Han / Three Kingdoms Chinese
verified-from-primary
introductory
gou-gu rule, right triangle, geometry, dissection proof
true
unknown
Person: Liu Hui (Han / Three Kingdoms Chinese) Difficulty: advanced | Topics: volume, pyramid, dissection, limit argument, exhaustion
tea-liu-hui-004
Liu Hui
Han / Three Kingdoms Chinese
verified-from-primary
advanced
volume, pyramid, dissection, limit argument, exhaustion
true
unknown
Person: Brahmagupta (Brahma school / Rajasthan (Bhinmal)) Difficulty: introductory | Topics: zero, arithmetic, division by zero, historical error
tea-brahmagupta-002
Brahmagupta
Brahma school / Rajasthan (Bhinmal)
verified-from-primary
introductory
zero, arithmetic, division by zero, historical error
true
unknown
Person: Brahmagupta (Brahma school / Rajasthan (Bhinmal)) Difficulty: intermediate | Topics: number theory, sums of squares, identity, integer arithmetic
tea-brahmagupta-003
Brahmagupta
Brahma school / Rajasthan (Bhinmal)
verified-from-primary
intermediate
number theory, sums of squares, identity, integer arithmetic
true
unknown
Person: Brahmagupta (Brahma school / Rajasthan (Bhinmal)) Difficulty: advanced | Topics: kuttaka, linear Diophantine equations, remainder problems, number theory
tea-brahmagupta-005
Brahmagupta
Brahma school / Rajasthan (Bhinmal)
verified-from-primary
advanced
kuttaka, linear Diophantine equations, remainder problems, number theory
true
unknown
Person: Aryabhata (Gupta period Indian / Kusumapura (Pataliputra)) Difficulty: intermediate | Topics: kuttaka, remainder problems, linear Diophantine, least common multiple
tea-aryabhata-004
Aryabhata
Gupta period Indian / Kusumapura (Pataliputra)
verified-from-primary
intermediate
kuttaka, remainder problems, linear Diophantine, least common multiple
true
unknown
Person: Aryabhata (Gupta period Indian / Kusumapura (Pataliputra)) Difficulty: intermediate | Topics: sphere, volume, surface area, geometry, gola
tea-aryabhata-005
Aryabhata
Gupta period Indian / Kusumapura (Pataliputra)
verified-from-primary
intermediate
sphere, volume, surface area, geometry, gola
true
unknown
Person: Aryabhata (Gupta period Indian / Kusumapura (Pataliputra)) Difficulty: intermediate | Topics: sine table, jya, trigonometry, difference method
tea-aryabhata-001
Aryabhata
Gupta period Indian / Kusumapura (Pataliputra)
verified-from-primary
intermediate
sine table, jya, trigonometry, difference method
true
unknown
Person: Aryabhata (Gupta period Indian / Kusumapura (Pataliputra)) Difficulty: introductory | Topics: pi approximation, circle, circumference, ratio
tea-aryabhata-002
Aryabhata
Gupta period Indian / Kusumapura (Pataliputra)
verified-from-primary
introductory
pi approximation, circle, circumference, ratio
true
unknown
Person: Bhaskara II (Indian (Siddhantic / Bija-ganita)) Difficulty: advanced | Topics: indeterminate equations, varga-prakrti, cyclic method, square-nature, integer arithmetic
tea-bhaskara-ii-001
Bhaskara II
Indian (Siddhantic / Bija-ganita)
verified-from-primary
advanced
indeterminate equations, varga-prakrti, cyclic method, square-nature, integer arithmetic
true
unknown
Person: Bhaskara II (Indian (Siddhantic / Lilavati arithmetic)) Difficulty: introductory | Topics: right triangle, geometric proof, karna-bhuja-koti, figure-proof, arithmetic
tea-bhaskara-ii-002
Bhaskara II
Indian (Siddhantic / Lilavati arithmetic)
verified-from-primary
introductory
right triangle, geometric proof, karna-bhuja-koti, figure-proof, arithmetic
true
unknown
Person: Bhaskara II (Indian (Siddhantic astronomy / Bija-ganita)) Difficulty: advanced | Topics: sine function, instantaneous rate of change, tatkalika-gati, trigonometry, proto-calculus
tea-bhaskara-ii-003
Bhaskara II
Indian (Siddhantic astronomy / Bija-ganita)
scholar-review-needed
advanced
sine function, instantaneous rate of change, tatkalika-gati, trigonometry, proto-calculus
true
unknown
Person: Bhaskara II (Indian (Siddhantic / Lilavati arithmetic)) Difficulty: intermediate | Topics: combinations, permutations, factorial, enumeration, combinatorics
tea-bhaskara-ii-004
Bhaskara II
Indian (Siddhantic / Lilavati arithmetic)
verified-from-primary
intermediate
combinations, permutations, factorial, enumeration, combinatorics
true
unknown
Person: Pythagoras / early Pythagoreans (Greek (Pythagorean)) Difficulty: introductory | Topics: figurate numbers, gnomon, square numbers, odd numbers, pebble arithmetic
tea-pythagoras-005
Pythagoras / early Pythagoreans
Greek (Pythagorean)
verified-from-primary
introductory
figurate numbers, gnomon, square numbers, odd numbers, pebble arithmetic
true
unknown
Person: Pythagoras / early Pythagoreans (Greek (Pythagorean)) Difficulty: introductory | Topics: Pythagorean triple, right triangle, whole numbers, geometric construction, square numbers
tea-pythagoras-003
Pythagoras / early Pythagoreans
Greek (Pythagorean)
scholar-review-needed
introductory
Pythagorean triple, right triangle, whole numbers, geometric construction, square numbers
true
unknown
Person: Pythagoras / early Pythagoreans (Greek (Pythagorean)) Difficulty: introductory | Topics: music theory, ratio, monochord, concord, number and nature
tea-pythagoras-001
Pythagoras / early Pythagoreans
Greek (Pythagorean)
scholar-review-needed
introductory
music theory, ratio, monochord, concord, number and nature
true
unknown
Person: Pythagoras / early Pythagoreans (Greek (Pythagorean, attributed to Hippasus of Metapontum)) Difficulty: intermediate | Topics: irrationality, incommensurability, proof by contradiction, square root, number theory
tea-pythagoras-004
Pythagoras / early Pythagoreans
Greek (Pythagorean, attributed to Hippasus of Metapontum)
scholar-review-needed
intermediate
irrationality, incommensurability, proof by contradiction, square root, number theory
true
unknown
Person: Euclid (Greek (Euclidean geometry)) Difficulty: introductory | Topics: geometric construction, circle, equilateral triangle, postulates, common notions
tea-euclid-001
Euclid
Greek (Euclidean geometry)
verified-from-primary
introductory
geometric construction, circle, equilateral triangle, postulates, common notions
true
unknown
Person: Euclid (Greek (Euclidean geometry)) Difficulty: intermediate | Topics: right triangle, square, geometric proof, congruence, area
tea-euclid-003
Euclid
Greek (Euclidean geometry)
verified-from-primary
intermediate
right triangle, square, geometric proof, congruence, area
true
unknown
Person: Euclid (Greek (Euclidean / Eudoxean proportion theory)) Difficulty: advanced | Topics: ratio, proportion, Eudoxean definition, multiple, incommensurability
tea-euclid-004
Euclid
Greek (Euclidean / Eudoxean proportion theory)
verified-from-primary
advanced
ratio, proportion, Eudoxean definition, multiple, incommensurability
true
unknown
Person: Euclid (Greek (Euclidean arithmetic / number theory)) Difficulty: intermediate | Topics: prime numbers, proof by contradiction, infinitude, divisibility, number theory
tea-euclid-005
Euclid
Greek (Euclidean arithmetic / number theory)
verified-from-primary
intermediate
prime numbers, proof by contradiction, infinitude, divisibility, number theory
true
unknown
Person: Euclid (Greek (Euclidean arithmetic / number theory)) Difficulty: advanced | Topics: perfect numbers, divisors, geometric series, prime numbers, number theory
tea-euclid-006
Euclid
Greek (Euclidean arithmetic / number theory)
verified-from-primary
advanced
perfect numbers, divisors, geometric series, prime numbers, number theory
true
unknown
Person: Archimedes (Greek (Archimedean / Hellenistic)) Difficulty: advanced | Topics: area, parabola, lever, method of exhaustion, mechanical reasoning
tea-archimedes-002
Archimedes
Greek (Archimedean / Hellenistic)
verified-from-primary
advanced
area, parabola, lever, method of exhaustion, mechanical reasoning
true
unknown
Person: Archimedes (Greek (Archimedean / Hellenistic)) Difficulty: advanced | Topics: pi, circle, polygon approximation, exhaustion, bounds
tea-archimedes-001
Archimedes
Greek (Archimedean / Hellenistic)
verified-from-primary
advanced
pi, circle, polygon approximation, exhaustion, bounds
true
unknown
Person: Archimedes (Greek (Archimedean / Hellenistic)) Difficulty: intermediate | Topics: large numbers, numeration system, cosmology, estimation, powers
tea-archimedes-004
Archimedes
Greek (Archimedean / Hellenistic)
verified-from-primary
intermediate
large numbers, numeration system, cosmology, estimation, powers
true
unknown
Person: Diophantus (Greek (Diophantine / Hellenistic arithmetic)) Difficulty: intermediate | Topics: indeterminate equations, square numbers, rational solutions, algebraic method, Arithmetica
tea-diophantus-001
Diophantus
Greek (Diophantine / Hellenistic arithmetic)
verified-from-primary
intermediate
indeterminate equations, square numbers, rational solutions, algebraic method, Arithmetica
true
unknown
Person: Diophantus (Greek (Diophantine / Hellenistic arithmetic)) Difficulty: introductory | Topics: system of equations, sum and product, quadratic, algebraic method, Arithmetica
tea-diophantus-002
Diophantus
Greek (Diophantine / Hellenistic arithmetic)
verified-from-primary
introductory
system of equations, sum and product, quadratic, algebraic method, Arithmetica
true
unknown
Person: Diophantus (Greek (Diophantine / Hellenistic arithmetic)) Difficulty: advanced | Topics: indeterminate equations, square numbers, systems of conditions, rational arithmetic, Arithmetica
tea-diophantus-003
Diophantus
Greek (Diophantine / Hellenistic arithmetic)
scholar-review-needed
advanced
indeterminate equations, square numbers, systems of conditions, rational arithmetic, Arithmetica
true
unknown
Person: Pingala (Indian / Vedic prosody) Difficulty: intermediate | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-pingala-002
Pingala
Indian / Vedic prosody
sourced
intermediate
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Pingala (Indian / Vedic prosody) Difficulty: introductory | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-pingala-003
Pingala
Indian / Vedic prosody
sourced
introductory
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Pingala (Indian / Vedic prosody) Difficulty: advanced | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-pingala-005
Pingala
Indian / Vedic prosody
sourced
advanced
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Halayudha (Indian / Sanskrit scholarship) Difficulty: intermediate | Topics: number, sound, pre-modern-math, pre-modern-mathematician, misattribution-restoration
tea-halayudha-001
Halayudha
Indian / Sanskrit scholarship
sourced
intermediate
number, sound, pre-modern-math, pre-modern-mathematician, misattribution-restoration
true
unknown
Person: Halayudha (Indian / Sanskrit scholarship) Difficulty: intermediate | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-halayudha-002
Halayudha
Indian / Sanskrit scholarship
sourced
intermediate
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Halayudha (Indian / Sanskrit scholarship) Difficulty: introductory | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-halayudha-004
Halayudha
Indian / Sanskrit scholarship
sourced
introductory
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Halayudha (Indian / Sanskrit scholarship) Difficulty: advanced | Topics: number, pre-modern-math, pre-modern-mathematician
tea-halayudha-005
Halayudha
Indian / Sanskrit scholarship
sourced
advanced
number, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Hemachandra (Indian / Jain scholarship) Difficulty: introductory | Topics: number, sound, pre-modern-math, pre-modern-mathematician, misattribution-restoration
tea-hemachandra-001
Hemachandra
Indian / Jain scholarship
sourced
introductory
number, sound, pre-modern-math, pre-modern-mathematician, misattribution-restoration
true
unknown
Person: Hemachandra (Indian / Jain scholarship) Difficulty: intermediate | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-hemachandra-003
Hemachandra
Indian / Jain scholarship
sourced
intermediate
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Hemachandra (Indian / Jain scholarship) Difficulty: intermediate | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-hemachandra-002
Hemachandra
Indian / Jain scholarship
sourced
intermediate
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Hemachandra (Indian / Jain scholarship) Difficulty: advanced | Topics: number, sound, pre-modern-math, pre-modern-mathematician
tea-hemachandra-005
Hemachandra
Indian / Jain scholarship
partial
advanced
number, sound, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Omar Khayyam (Islamic / Persian mathematics) Difficulty: advanced | Topics: number, form, pre-modern-math, pre-modern-mathematician
tea-omar-khayyam-001
Omar Khayyam
Islamic / Persian mathematics
sourced
advanced
number, form, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Omar Khayyam (Islamic / Persian mathematics) Difficulty: intermediate | Topics: number, pre-modern-math, pre-modern-mathematician
tea-omar-khayyam-006
Omar Khayyam
Islamic / Persian mathematics
sourced
intermediate
number, pre-modern-math, pre-modern-mathematician
true
unknown
Person: Omar Khayyam (Islamic / Persian mathematics) Difficulty: intermediate | Topics: number, pre-modern-math, pre-modern-mathematician, misattribution-restoration
tea-omar-khayyam-003
Omar Khayyam
Islamic / Persian mathematics
sourced
intermediate
number, pre-modern-math, pre-modern-mathematician, misattribution-restoration
true
unknown
Person: Omar Khayyam (Islamic / Persian mathematics) Difficulty: intermediate | Topics: number, form, pre-modern-math, pre-modern-mathematician
tea-omar-khayyam-002
Omar Khayyam
Islamic / Persian mathematics
sourced
intermediate
number, form, pre-modern-math, pre-modern-mathematician
true
unknown
Person: al-Karaji (Islamic / Iraqi-Persian mathematics) Difficulty: advanced | Topics: number, pre-modern-math, pre-modern-mathematician
tea-al-karaji-004
al-Karaji
Islamic / Iraqi-Persian mathematics
sourced
advanced
number, pre-modern-math, pre-modern-mathematician
true
unknown
Person: al-Karaji (Islamic / Iraqi-Persian mathematics) Difficulty: intermediate | Topics: number, pre-modern-math, pre-modern-mathematician
tea-al-karaji-005
al-Karaji
Islamic / Iraqi-Persian mathematics
sourced
intermediate
number, pre-modern-math, pre-modern-mathematician
true
unknown
Person: al-Karaji (Islamic / Iraqi-Persian mathematics) Difficulty: intermediate | Topics: number, pre-modern-math, pre-modern-mathematician
tea-al-karaji-003
al-Karaji
Islamic / Iraqi-Persian mathematics
sourced
intermediate
number, pre-modern-math, pre-modern-mathematician
true
unknown
Person: al-Battani, Abu Abdallah (Islamic) Difficulty: advanced | Topics: astronomy, time-measurement, solar-anomaly, equation-of-time, ecliptic
al-battani-equation-of-time-004
al-Battani, Abu Abdallah
Islamic
source-confirmed
advanced
astronomy, time-measurement, solar-anomaly, equation-of-time, ecliptic
true
unknown
Person: al-Battani, Abu Abdallah (Islamic) Difficulty: advanced | Topics: spherical-trigonometry, qibla, astronomy, geography, Islamic-practice
al-battani-spherical-trig-qibla-003
al-Battani, Abu Abdallah
Islamic
source-confirmed
advanced
spherical-trigonometry, qibla, astronomy, geography, Islamic-practice
true
unknown
Person: al-Khujandi, Abu Mahmud (Islamic) Difficulty: advanced | Topics: sundial, conic-sections, spherical-trigonometry, shadow-projection, astronomy
al-khujandi-sundial-theory-005
al-Khujandi, Abu Mahmud
Islamic
source-confirmed
advanced
sundial, conic-sections, spherical-trigonometry, shadow-projection, astronomy
true
unknown
Person: al-Kashi, Jamshid (Islamic) Difficulty: advanced | Topics: planetary-tables, zij, mean-motion, astronomical-computation, Samarkand
al-kashi-khaqani-zij-005
al-Kashi, Jamshid
Islamic
source-confirmed
advanced
planetary-tables, zij, mean-motion, astronomical-computation, Samarkand
true
unknown
Person: Thabit ibn Qurra (Islamic) Difficulty: advanced | Topics: statics, lever, equilibrium, centre-of-gravity, Archimedean-legacy
thabit-lever-statics-004
Thabit ibn Qurra
Islamic
source-confirmed
advanced
statics, lever, equilibrium, centre-of-gravity, Archimedean-legacy
true
unknown
Person: al-Battani, Abu Abdallah (Islamic) Difficulty: advanced | Topics: astronomy, lunar-theory, eclipse-observation, orbital-elements, parallax
al-battani-lunar-orbit-elements-005
al-Battani, Abu Abdallah
Islamic
source-confirmed
advanced
astronomy, lunar-theory, eclipse-observation, orbital-elements, parallax
true
unknown
Person: al-Khujandi, Abu Mahmud (Islamic) Difficulty: advanced | Topics: obliquity, secular-change, astronomy, observation, instrument-error
al-khujandi-axial-tilt-secular-change-004
al-Khujandi, Abu Mahmud
Islamic
source-confirmed
advanced
obliquity, secular-change, astronomy, observation, instrument-error
true
unknown
Person: al-Biruni, Abu Rayhan (Islamic) Difficulty: advanced | Topics: geodesy, Earth-radius, trigonometry, dip-angle, measurement
al-biruni-earth-radius-mountain-001
al-Biruni, Abu Rayhan
Islamic
source-confirmed
advanced
geodesy, Earth-radius, trigonometry, dip-angle, measurement
true
unknown
Person: Ulugh Beg (Islamic) Difficulty: advanced | Topics: planetary-tables, zij, observational-astronomy, precision, Samarkand-observatory
ulugh-beg-zij-sultani-001
Ulugh Beg
Islamic
source-confirmed
advanced
planetary-tables, zij, observational-astronomy, precision, Samarkand-observatory
true
unknown
Person: al-Biruni, Abu Rayhan (Islamic) Difficulty: advanced | Topics: trigonometry, sine, angle-formulas, iterative-computation, non-special-angles
al-biruni-sine-cosine-non-special-003
al-Biruni, Abu Rayhan
Islamic
source-confirmed
advanced
trigonometry, sine, angle-formulas, iterative-computation, non-special-angles
true
unknown
Person: Ulugh Beg (Islamic) Difficulty: advanced | Topics: trigonometry, sine-table, precision, addition-formula, computational-method
ulugh-beg-trig-tables-precision-004
Ulugh Beg
Islamic
source-confirmed
advanced
trigonometry, sine-table, precision, addition-formula, computational-method
true
unknown
Person: Ulugh Beg (Islamic) Difficulty: advanced | Topics: star-catalogue, observational-astronomy, ecliptic-coordinates, Ptolemy-critique, Samarkand
ulugh-beg-star-catalogue-002
Ulugh Beg
Islamic
source-confirmed
advanced
star-catalogue, observational-astronomy, ecliptic-coordinates, Ptolemy-critique, Samarkand
true
unknown
Person: Thabit ibn Qurra (Islamic) Difficulty: advanced | Topics: geometry, angle-trisection, neusis, marked-straightedge, Archimedean-legacy
thabit-liber-assumptorum-005
Thabit ibn Qurra
Islamic
source-confirmed
advanced
geometry, angle-trisection, neusis, marked-straightedge, Archimedean-legacy
true
unknown
Person: al-Tusi, Nasir al-Din (Islamic) Difficulty: advanced | Topics: ratio-and-proportion, Euclidean-geometry, foundations, incommensurability
al-tusi-euclid-ratio-definition-005
al-Tusi, Nasir al-Din
Islamic
source-confirmed
advanced
ratio-and-proportion, Euclidean-geometry, foundations, incommensurability
true
unknown
Person: al-Khujandi, Abu Mahmud (Islamic) Difficulty: research | Topics: number-theory, Fermat-Last-Theorem, cubic-equation, attribution-debate, proof-history
al-khujandi-fermat-last-n3-002
al-Khujandi, Abu Mahmud
Islamic
source-confirmed
research
number-theory, Fermat-Last-Theorem, cubic-equation, attribution-debate, proof-history
true
unknown
Person: al-Kashi, Jamshid (Islamic) Difficulty: research | Topics: iterative-methods, cubic-equation, sine, fixed-point, numerical-approximation
al-kashi-iterative-root-sin1-004
al-Kashi, Jamshid
Islamic
source-confirmed
research
iterative-methods, cubic-equation, sine, fixed-point, numerical-approximation
true
unknown
Person: al-Biruni, Abu Rayhan (Islamic) Difficulty: research | Topics: astrolabe, stereographic-projection, geometry, conformality, circles
al-biruni-astrolabe-theory-002
al-Biruni, Abu Rayhan
Islamic
source-confirmed
research
astrolabe, stereographic-projection, geometry, conformality, circles
true
unknown
Person: al-Khujandi, Abu Mahmud (Islamic) Difficulty: research | Topics: spherical-trigonometry, cosine-rule, coordinate-systems, astronomy, four-arc-figure
al-khujandi-spherical-trig-cosine-003
al-Khujandi, Abu Mahmud
Islamic
source-confirmed
research
spherical-trigonometry, cosine-rule, coordinate-systems, astronomy, four-arc-figure
true
unknown
Person: al-Tusi, Nasir al-Din (Islamic) Difficulty: research | Topics: planetary-models, astronomy, uniform-circular-motion, Ptolemy-critique, equant
al-tusi-equant-abolition-004
al-Tusi, Nasir al-Din
Islamic
source-confirmed
research
planetary-models, astronomy, uniform-circular-motion, Ptolemy-critique, equant
true
unknown
Person: Thabit ibn Qurra (Islamic) Difficulty: research | Topics: geometry, parabola, area, exhaustion-method, Archimedean-legacy, pre-calculus
thabit-parabola-integration-003
Thabit ibn Qurra
Islamic
source-confirmed
research
geometry, parabola, area, exhaustion-method, Archimedean-legacy, pre-calculus
true
unknown
Person: al-Kashi, Jamshid (Islamic) Difficulty: research | Topics: pi, polygon-approximation, sexagesimal, decimal-fractions, iterative-computation
al-kashi-pi-sixteen-digits-001
al-Kashi, Jamshid
Islamic
source-confirmed
research
pi, polygon-approximation, sexagesimal, decimal-fractions, iterative-computation
true
unknown
Person: al-Tusi, Nasir al-Din (Islamic) Difficulty: research | Topics: spherical-trigonometry, law-of-sines, astronomy, great-circles
al-tusi-spherical-law-of-sines-002
al-Tusi, Nasir al-Din
Islamic
source-confirmed
research
spherical-trigonometry, law-of-sines, astronomy, great-circles
true
unknown
Person: al-Tusi, Nasir al-Din (Islamic) Difficulty: research | Topics: Euclidean-geometry, parallel-postulate, proof-theory, foundations
al-tusi-parallel-postulate-attempt-003
al-Tusi, Nasir al-Din
Islamic
source-confirmed
research
Euclidean-geometry, parallel-postulate, proof-theory, foundations
true
unknown
Person: Sunzi (Sunzi Suanjing, anonymous compiler) (Chinese) Difficulty: intermediate | Topics: arithmetic, multiplication-algorithms, counting-rods, place-value
sunzi-multiplication-algorithm-003
Sunzi (Sunzi Suanjing, anonymous compiler)
Chinese
source-confirmed
intermediate
arithmetic, multiplication-algorithms, counting-rods, place-value
true
unknown
Person: Sunzi (Sunzi Suanjing, anonymous compiler) (Chinese) Difficulty: intermediate | Topics: number-theory, remainder-arithmetic, Chinese-remainder-theorem, division-algorithms
sunzi-remainder-theorem-001
Sunzi (Sunzi Suanjing, anonymous compiler)
Chinese
source-confirmed
intermediate
number-theory, remainder-arithmetic, Chinese-remainder-theorem, division-algorithms
true
unknown
Person: Yang Hui (Chinese) Difficulty: intermediate | Topics: magic-squares, number-arrangement, combinatorics, order-four
yang-hui-magic-square-order-four-005
Yang Hui
Chinese
source-confirmed
intermediate
magic-squares, number-arrangement, combinatorics, order-four
true
unknown
Person: Yang Hui (Chinese) Difficulty: intermediate | Topics: arithmetic-series, summation, combinatorics, pile-problems
yang-hui-arithmetic-series-sum-003
Yang Hui
Chinese
source-confirmed
intermediate
arithmetic-series, summation, combinatorics, pile-problems
true
unknown
Person: Yang Hui (Chinese) Difficulty: intermediate | Topics: combinatorics, binomial-coefficients, pascal-triangle, algebra
yang-hui-triangle-binomial-001
Yang Hui
Chinese
source-confirmed
intermediate
combinatorics, binomial-coefficients, pascal-triangle, algebra
true
unknown
Person: Sunzi (Sunzi Suanjing, anonymous compiler) (Chinese) Difficulty: introductory | Topics: place-value, decimal-system, numeral-systems, counting-rods, arithmetic
sunzi-place-value-counting-rods-002
Sunzi (Sunzi Suanjing, anonymous compiler)
Chinese
source-confirmed
introductory
place-value, decimal-system, numeral-systems, counting-rods, arithmetic
true
unknown
Person: Sunzi (Sunzi Suanjing, anonymous compiler) (Chinese) Difficulty: introductory | Topics: fractions, arithmetic, greatest-common-divisor, simplification
sunzi-fraction-multiplication-005
Sunzi (Sunzi Suanjing, anonymous compiler)
Chinese
source-confirmed
introductory
fractions, arithmetic, greatest-common-divisor, simplification
true
unknown
Person: Sunzi (Sunzi Suanjing, anonymous compiler) (Chinese) Difficulty: advanced | Topics: arithmetic, root-extraction, square-roots, counting-rods, approximation
sunzi-square-root-extraction-004
Sunzi (Sunzi Suanjing, anonymous compiler)
Chinese
source-confirmed
advanced
arithmetic, root-extraction, square-roots, counting-rods, approximation
true
unknown
Person: Nilakantha Somayaji (Indian (Kerala school)) Difficulty: research | Topics: trigonometry, infinite-series, sine-series, Kerala-school, jya
nilakantha-trigonometric-series-004
Nilakantha Somayaji
Indian (Kerala school)
source-confirmed
research
trigonometry, infinite-series, sine-series, Kerala-school, jya
true
unknown
Person: Nilakantha Somayaji (Indian (Kerala school)) Difficulty: research | Topics: planetary-models, astronomy, iterative-methods, longitude-correction, Kerala-school
nilakantha-corrected-varga-005
Nilakantha Somayaji
Indian (Kerala school)
source-confirmed
research
planetary-models, astronomy, iterative-methods, longitude-correction, Kerala-school
true
unknown
Person: Nilakantha Somayaji (Indian (Kerala school)) Difficulty: advanced | Topics: planetary-models, astronomy, heliocentrism, semi-heliocentric, Mercury-Venus
nilakantha-semi-heliocentric-model-002
Nilakantha Somayaji
Indian (Kerala school)
source-confirmed
advanced
planetary-models, astronomy, heliocentrism, semi-heliocentric, Mercury-Venus
true
unknown
Person: Nilakantha Somayaji (Indian (Kerala school)) Difficulty: 5 | Topics: infinite-series, convergence-proofs, arctangent, Kerala-school, analysis
nilakantha-infinite-series-proof-003
Nilakantha Somayaji
Indian (Kerala school)
source-confirmed
5
infinite-series, convergence-proofs, arctangent, Kerala-school, analysis
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-01
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-06
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-10
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-07
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-09
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-12
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-04
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-03
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
plimpton322-row-02
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, reciprocal-pairs
true
unknown
Person: Plimpton 322 scribe (anonymous Babylonian) (Babylonian (Old Babylonian period)) Difficulty: advanced | Topics: Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, scribal-errors, angular-range
plimpton322-row-15
Plimpton 322 scribe (anonymous Babylonian)
Babylonian (Old Babylonian period)
source-confirmed
advanced
Pythagorean-triples, sexagesimal-arithmetic, right-triangles, Plimpton-322, scribal-errors, angular-range
true
unknown
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