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3 Problems on the History of Mathematics - Assignment | MA 330, Assignments of Mathematics

Material Type: Assignment; Professor: Braun; Class: HISTORY OF MATHEMATICS; Subject: Mathematics; University: University of Kentucky; Term: Spring 2008;

Typology: Assignments

Pre 2010

Uploaded on 10/01/2009

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MA 330 HOMEWORK
DUE MONDAY, JAN 14
This problem set may be handwritten.
Problem 1: Prove that 3 is irrational.
Problem 2: Extending the comments on page 17 of JTG, during
Step 1 of the quadrature of the rectangle, sketch a proof (using compass
and straightedge only) that one can bisect a given line segment.1
Problem 3: Provide an explanation for why squaring a geometric
object is called “quadrature.”
1If you are stuck, look at Proposition I.10 of Euclid’s Elements (for an online
version there is a link on the course website.
1

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MA 330 HOMEWORK

DUE MONDAY, JAN 14

This problem set may be handwritten.

Problem 1: Prove that

3 is irrational.

Problem 2: Extending the comments on page 17 of JTG, during Step 1 of the quadrature of the rectangle, sketch a proof (using compass and straightedge only) that one can bisect a given line segment.^1

Problem 3: Provide an explanation for why squaring a geometric object is called “quadrature.”

(^1) If you are stuck, look at Proposition I.10 of Euclid’s Elements (for an online

version there is a link on the course website. 1