|Name: _________________________||Period: ___________________|
This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.
Multiple Choice Questions
1. What was true about Hippocrates's proof?
(a) It was fairly easy and simple.
(b) The proof was easy if their was advanced technology available.
(c) The proof was exceedingly difficult and not understood at the time.
(d) It was useful for circles.
2. What was Hippocrates's great advance to mathematics?
(a) He showed how to simplify the area of a triangle.
(b) He showed how to square a circle.
(c) He showed how to find the angles in a right triangle.
(d) He showed how to square a figure with curved sides.
3. What was Hippocrates famous for?
(a) His proof defining gravity.
(b) His proof on right triangles.
(c) His ability to construct circles without a compass.
(d) His theorem on the quadrature of the lune.
4. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is always greater than the area of the triangle.
(b) He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it.
(c) He demonstrated that the area of the circle is never less than the area of the triangle.
(d) He demonstrated that the area of the circle is never equal to the area of the triangle.
5. Which of the following was NOT one of the basic definitions in Elements?
(a) Right angles.
(d) Straight Line.
Short Answer Questions
1. Which of the following was an important proposition given by Euclid's number theory?
2. What provided most of the content in the book Elements?
3. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
4. How many definitions were stated in Elements?
5. After working on pi, what did Archimedes continue with in his study of mathematics?
This section contains 369 words
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