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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

## Multiple Choice Questions

**1. According to Euclid, when is a triangle a right triangle?**
**(a)** When a triangle does not have a side which can be considered a hypotenuse. **(b)** When a triangle has a side whose square is the sum of the squares of the two legs. **(c)** When a triangle can be constructed with three unequal sides. **(d)** When a triangle has three sides whose squares are equal to the area of the triangle.

**2. What was Hippocrates famous for?**
**(a)** His ability to construct circles without a compass. **(b)** His proof on right triangles. **(c)** His proof defining gravity. **(d)** His theorem on the quadrature of the lune.

**3. Who else, besides Newton, independently discovered a calculus method?**
**(a)** John Napier. **(b)** Gottfried Leibniz. **(c)** Isaac Barrow. **(d)** Pierre de Fermat.

**4. What was true about Hippocrates's proof?**
**(a)** The proof was easy if their was advanced technology available. **(b)** The proof was exceedingly difficult and not understood at the time. **(c)** It was fairly easy and simple. **(d)** It was useful for circles.

**5. What did British scholars accuse Leibniz of?**
**(a)** Plagiarizing Newton's calculus method. **(b)** Publishing Newton's work without his approval. **(c)** Conspiring the death of Newton. **(d)** Stealing Newton's Binomial theorem.

## Short Answer Questions

**1.** What did Ferdinand Lindeman prove in 1882?

**2.** Which of the following is a series that the Bernoullis proposed did not converge on a finite sum?

**3.** What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

**4.** What was most useful about finding the square of a shape, before Hippocrates?

**5.** Which of the following was NOT one of Gauss' discoveries?

This section contains 393 words(approx. 2 pages at 300 words per page) |