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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. Which words best describe how solid proofs were developed in Elements?**
**(a)** Axiomatic framework. **(b)** Simple arguments. **(c)** Programmed order. **(d)** Inverted scaffold.

**2. What did Plato use his inspiration from Euclid for?**
**(a)** To create a new theorem of algebra. **(b)** To construct his theory on the shape of the Universe. **(c)** To classify geometric shapes by their complexity. **(d)** To prove Euclid's number theory was incorrect.

**3. Heron's work referred to the work of what other famous scholar?**
**(a)** Hippocrates. **(b)** Thales. **(c)** Euclid. **(d)** Archimedes.

**4. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Divide a infinite group of primes by the sum of their composites. **(b)** Take a finite group of primes and add them together, plus one. **(c)** After summation, the new number can be prime or composite. **(d)** If a new number is found to be composite, then it must have some prime as a divisor.

**5. Which is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "The inverse of a line makes a circle." **(c)** "Points with equal values can be connected with a line of equal value." **(d)** "Things which are equal to the same thing are also equal to each other."

## Short Answer Questions

**1.** Who was the author of the book Elements?

**2.** Where was the modern number system developed?

**3.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

**4.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

**5.** What was the same about Apollonius and Erosthanes?

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