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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

1. What did Gauss construct?
(a) A system where the angles of a triangle add up to more than 180 degrees.
(b) A system where the angles of a triangle add up to fewer than 180 degrees.
(c) A proof that demonstrated the circumference of Earth.
(d) A proof that demonstrates Newtonian physics.

2. What were the main technique(s) that Euler used to find the sum of the series?
(a) Calculus methods.
(b) Trigonometry and basic algebra.
(c) Quadratic sums,
(d) Cubic equations.

3. What was the bases of Hippocrates's proof ?
(a) Properties of area to volume measurements.
(b) Properties of triangles and semicircles.
(c) Properties of points and lines.
(d) Properties of squares and cubes.

4. What does the Pythagorean Theorem state?
(a) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(b) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(c) For any right triangle the diagonal side is equal to the sum of the legs.
(d) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.

5. Who encourages Newton during his studies at Cambridge?
(a) Henry Stokes.
(b) Henry Briggs.
(c) John Napier.
(d) Isaac Barrow.

Short Answer Questions

1. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

2. Where does the center of mathematical thinking shift to after Italy?

3. What was most noticeable about Euler at a young age?

4. What was the same about the series proposed by Leibniz and the series proposed by Bernoulli?

5. Which of the following was NOT a field in which Isaac Newton made enormous advances?

(see the answer key)

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