Across
- 4. Theory of proportions method of exhaustion
- 7. Logic of syllogisms
- 9. Surveying and astronomy manual in China
- 11. Geometry as training for “philosopher kings”
- 15. Arithmetica rational solns of equations using algebra and symbolism instead of geometry
- 17. Elements comprehensive summary of geometry with axiomatic proofs
- 19. Mystical worship of whole numbers & ratios Irrationality of square root of two
- 20. Nine Chapters square and cube roots circles Pythagorean triples systems of 5 linear eqns volume pyramid quadratic eqns
- 21. Law of the lever value of pi areas volumes
- 22. Formula on cyclic quadrilaterals solved indeterminate linear congruences
- 25. Beginnings of Greek trigonometry “chords”
- 26. al-Jabr “algebra” manual classifying quadratic eqns and their solutions “algorithm”
- 27. Base 60 numbers circle measurements square and cube roots Pythagorean triples systems of 2 linear eqns Pythagorean thm
- 28. Chinese Remainder Problem
- 29. First comprehensive study of conic sections
Down
- 1. Solved cubic eqns using intersection of conic sections worked on parallel postulate
- 2. Discovered five Platonic solids theory of incommensurables and proportion
- 3. Triangular area in terms of side lengths
- 5. Paradoxes of motion
- 6. Quadrature of the lune
- 8. Father of demonstrative mathematics
- 10. Almagest comprehensive summary of trigonometry used in Greek astronomy
- 12. Translated Elements into Arabic proved theorem on amicable numbers
- 13. Treated irrationals like other numbers in calculations—new concept of “number”
- 14. Brahmi numerals circle measurements square roots Pythagorean Theorem
- 16. Sine tables using half-chords in India
- 18. Pascal’s triangle in China
- 23. Unit fractions circle measurements linear equations volume of pyramid frustrum
- 24. Pascals triangle in Islamic world