{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

euclidselements - Math 230 E Euclids Elements Fall 2011...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 230 E Fall 2011 Euclid’s Elements Drew Armstrong Euclid wrote The Elements around 300BC. This was the definitive state- ment of the deductive method , which uses logic to rigorously derive (prove) theorems from self-evident first principles (axioms). What was self-evident to Euclid? His work is based on 10 axioms broken into two categories: 5 “postulates” and 5 “common notions”. The postulates describe the contruc- tion of geometric figures. Euclid’s “Postulates” Let the following be postulated: (P1) To draw a straight line from any point to any point. (P2) To produce a finite straight line continuously in a straight line. (P3) To describe a circle with any center and radius. (P4) That all right angles are equal to one another. (P5) That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles are less than the two right angles.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern