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| One of the two teachers of Pythagoras |
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| Created Sandreckoner, "give me a lever and a place to stand, and I shall move the earth." |
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| Made a 3-dimensional method for doubling the cube |
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Founded the lycium, established systematic logic
Attempted to re-axiomize geometry. Wrote Foundations of Geometry. The last mathematician to have known all that existed related to math, in his time. |
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| Questioned about first and second-order differential equations whose solutions could not be found |
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-Division algorithm
-Wrote the Elements
-There is no royal road to geometry |
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| Finding primes, idea for longnitude and latitude lines |
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| Developed proof that the square root of 2 is not rational. |
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| Swindled by pirates, and squaring the loom. |
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| A first female mathematician among European culture. |
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| Proof that an angle of arbitrary measure cannot be trisected |
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| Man with a strong connection to music, math, and religion |
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-Everything is composed of water
- "Know thyself" |
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| Constructed a spiral using properties of right triangles and the square root of 17. |
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-Made some errors in investigating the infinity.
-Paradox about a barber in town where people |
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| A series of books that helped to see how to construct a geometry |
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| The three types of numeration systems are |
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| Place value, additive, multiplicative |
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| Hypotheses of the base-60 system? |
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1. Very divisible number
2. Finger counting
3. Lunar cycle
4. Cultures with a base 6 and base 10 system combined their systems |
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| Achilles and the Turtle, Dichotomy |
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What culture used these systems?
- Place value
- Additive
- Multiplicative |
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- Babylonian
- Egyptians, Greeks
- Chinese |
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The method of false position was developed by the ______.
The ______ used a vertical and positional system.
Euclid's algorithm? |
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- Ionic Greeks
- Mayans
- n = pq + r |
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Square with same area as a given shape
Numbers that are solutions to equations in algebra
Numbers that cannot be direct solutions of equations
Method of fitting figures with smaller shapes to approximate their area |
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- Quadrature
- Algebraic
- Transcendentals
- Method of Exhaustion |
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Any symbol used for a numeric value is a ______
Any picture used for a numeric value is a ________
Schools of Pythagoras were? |
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- Logograms
- Pictograms
- Semicircle and Society schools |
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Problem of doubling the cube
What are the Platonic solids?
Tool used for finding prime numbers |
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- Delian problem
- cube, tetrahedron, dodecahedron, and icosahedron
- Sieve of Erasthostenes |
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| First reference to the Golden Ratio. |
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| Harmonic mean, Mathematical Collection, and quadrature of the circle |
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| Showed that the square root of any nonsquare integer is an irrational number |
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| Determined the methodology of the Babylonian number system, noticing that 60 had many divisors, and was an easily handled number. |
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| Number assigned to each letter of the alphabet, 'sums' of different numbers make different words. |
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Another name for a number that cannot be expressed as a ratio of two integers.
Had an application to geometry of line segments. |
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| A number that can be represented by a series of dots comprising a geometric figure (such as a triangle). |
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| Two integers such that the sums of all of their divisors add up to one another. |
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| Number whose factors add up to that number. |
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Number for which the sum of all its divisors is less than the number.
Number for which the sum of its divisors is greater than the number. |
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Deficient number
Abundant number |
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| The first tally stick, said to be 35000 years old |
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| Another baboon fibula, said to be a tally stick, from the Upper Paleolithic era, and is about 20000 years old |
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| A spiral constructed from contiguous right triangles. (the hypotenuse of the nth triangle is the base of the (n+1)st triangle.) |
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| Machine made by Archimedes that could transfer water from a low-lying body of water into irrigation ditches. |
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Theorems for the surface area of a solid of revolution is equal to the arc length s and the distance traveled by the geometric centroid, d.
A = sd. |
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| Highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. |
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| Way of solving a standard equation with one unknown; involved making a guess, and then refining until the correct value that makes the equation true is found. |
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| Another papyrus containing early mathematical stuff from Egypt |
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| A pillar of black basalt with three different languages, from which the hieroglyphic language was deciphered. |
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| A tablet with the first results of Pythagorean Triples |
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| Tablet found in 1936 that has several Babylonian uses of the Pyth. theorem. Includes problem of a isosceles triangle inscribed within a circle. |
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| An axiomic work by Aristotle that looks at what can be asserted about anything that exists just because of its existence and not because of any special qualities it has. |
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| Document published by Archimedes that talks about surface areas of a sphere and the contained ball; a relationship between the radius of the sphere and the height of another solid. |
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| On the Sphere and Cylinder |
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| An ancient Greek text on mathematics written by the mathematician Diophantus in the 3rd century AD. It is a collection of 130 algebraic problems giving numerical solutions of determinate equations (those with a unique solution) and indeterminate equations. |
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| A 78-page Mayan document with different aspects of their culture, including religion and astronomy. |
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| Connection to the musical scale |
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| Chief librarian at the Museum |
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| There is a spiritual world independent of the material world |
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| First to work with figurative numbers |
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| Said existence could not be summed up as change |
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