Ahs Mepps Mat3Bia Set 4

Although Euclid devotes much of his Elements discussing the ________, he actually did not believe it to be a curve.

• line

• parabola

• circle

• ellipse

In ancient Greece, the citizens of Athens created a procedure that allowed them to vote for the expulsion of any prominent person. The person with the most votes, above a set minimum, was exiled from Athens for ten years. Voters inscribed the name of the person they wanted exiled on a piece of broken pottery. These pottery fragments used in the voting process became known as ___________.

• ostrakons

• christos

• poimnes

• alphas

In 1902 a British mathematician developed the following paradox. “Is the set A of all sets that are not elements of themselves an element of itself?” The paradox has been popularized as The Barber’s Paradox and is as follows: “The town barber shaves all males who do not shave themselves, and he shaves only those males. The town barber is a male who shaves. Who shaves the barber?” Who was this British mathematician?

• Bertrand Russell

• Alan Turing

• James Mercer

• Arthur Cayley

Invented in the 19th century, a ______ Board, intended to form a binomial distribution, uses a series of pegs, which causes an inserted ball to bounce either left or right as it falls to each peg.

• Tukey

• Bernum

• Galton

• Bayes

Mathematicians agree that the historic problem of finding the area of a circle led to _______.

• transfixation

• delineation

• integration

• derivation

Who was the first mathematician to study the famous problem of “finding a square with the same area as a given circle?”

• Apollonius

• Anaxagoras

• Thales

• Aristotle

This curve was first studied by Gabriel Cramer in 1750 and Sylvestre Lacroix in 1810. It appeared in Nouvelles Annales in 1858. Name this curve.

• The Ghost's Curve

• The Nurse's Curve

• The Gardener's Curve

• The Devil's Curve

The eccentricity of Halley’s comet is 0.9675, thus it is close to the eccentricity of a(n) _________.

• circle

• ellipse

• hyperbola

• trifolium

In Book III of Elements, Euclid discusses the properties of _________ and the problems of inscribing polygons.

• ellipses

• hyperbolas

• parabolas

• circles

What mathematician, known for his work with the irrational number e, was the first to introduce the use of R to denote the radius of a circumscribed circle and r for the radius of an inscribed circle?

• Leonhard Euler

• Albert Einstein

• Francis Drake

• Johann Hesseler