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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

Multiple Choice Questions

1. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in determining the distance between two points.
(b) It was useful in creating simple elevation maps,
(c) It was useful in finding the area of oddly shaped pieces of land.
(d) It was useful in finding the area of circles.

2. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw a circle that contains no lines.
(b) It is possible to draw a straight line between an infinite number of points.
(c) It is possible to connect any two points with a line and make a circle.
(d) It is possible to draw an arc with any three points.

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

4. 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 figure with curved sides.
(c) He showed how to square a circle.
(d) He showed how to find the angles in a right triangle.

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

Short Answer Questions

1. How did Lindeman prove his conclusion?

2. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

3. According to Euclid, when is a triangle a right triangle?

4. What did Hippocrates do that advanced mathematical methods?

5. Who was the author of the book Elements?

(see the answer key)

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