References


Text References

(1)Burton, David M. (2006). The History of Mathematics: An Introduction, 6th Edition. United States: McGraw Hill. Pg. 36.

(2)Palmer, N.S., Euclid, Ancient History Encyclopedia, last modified October 23, 2015. Date accessed: November 2015. http://www.ancient.eu/Euclid/

(3)Burton, David M. Pg. 89.

(4)Burton, David M. Pg. 96.

(5)Palmer, N.S., http://www.ancient.eu/Euclid/

(6)Swetz, Frank J. (1994). Learning Activities from the History of Mathematics. Portland ME.: J. Weston Walch. Pg. 18.

(7)Bertrand, Russell (1967). A History of Western Philosophy. New York: Simon & Schuster/Touchstone. Pg. 212.

(8)Ball, W.W. Rouse (1908) A Short Account of the History of Mathematics, 4th edition, publisher. New York: Dover Publications Pg. 165.

(9)Norman, Jeremy. Euclid's Elements, the Most Famous Textbook Ever Published (May 25, 1482). Last updated November 26, 2015. History of Information.com. Date accessed: December 2015. http://www.historyofinformation.com/expanded.php?id=382

(10)Toussaint, Godfried (1993). A New Look at Euclid's Second Proposition. The Mathematical Intelligencer, Vol 15, No. 3. Pgs 12-23.

(11)Byer, Owne, Lazebnik, Felix, & Smeltzer, Deirdre L. (2010). Methods for Euclidean Geometry. United States: The Mathematical Association of America. Pg. 25.

(12)Heath, Thomas L. (1956). The Thirteen Books of the Elements, Vol 1: Books 1-2. New York: Dover Publications, Inc. Pgs. 62, 242

(13)Norton, John D. (2015) Einstein for Everyone: Euclidean's Fifth Postulate. Department of History and Philosophy of Science University of Pi ttsburgh. http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/non_Euclid_fifth_postulate/index.html

(14)Norton, John D. (2015) Einstein for Everyone: Non-Euclidean Geometry A Sample Construction. Department of History and Philosophy of Science University of Pittsburgh. http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/non_Euclid_construction/index.html

(15)Palmer, N.S. Euclid. http://www.ancient.eu/Euclid/

(16)Ketcham, Henry. The Life of Abraham Lincoln. Chapter VIII. Entering Law. http://www.authorama.com/life-of-abraham-lincoln-10.html

(17)Herschback, Dudley. Einstein as a Student, Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA, USA, Page 3, web: HarvardChem-Einstein-PDF

(18)Byer, Owen, Methods for Euclidean Geometry, Pgs, 10, 15.

(19)Bergmann, Merrie; Moor, James; Nelson, Jack (2009). The Logic Book, Fifth Edition. New York: McGraw-Hill.

(20)Slonneger, Ken. Syntax and Semanics of Programming Languages. Date accessed: December 2015. http://homepage.cs.uiowa.edu/~slonnegr/plf/Book/

(21)Greek Mathematics and its Modern Heirs, Date Accessed: December 2, 2015. https://www.ibiblio.org/expo/vatican.exhibit/exhibit/d-mathematics/Greek_math.html

(22)Ball, W.W. Rouse (1908), A Short Account of the History of Mathematics, 4th Edition. Pg. 54.

(23)Palmer, N.S., Euclid. http://www.ancient.eu/Euclid/

(24)VIolatti, Cristian (2013) Greek Science, Ancient History Encyclopedia, Date accessed: November 2015. http://www.ancient.eu/Greek_Science/


Visual References

(a)Euclid http://www.joannejacobs.com/wp-content/uploads/2015/09/ptolemy.jpg

(b)Alexandria Lighthouse http://www.personal.psu.edu/npl5033/lighthouse2.jpg

(c)Elements manuscript https://upload.wikimedia.org/wikipedia/commons/8/8d/P._Oxy._I_29.jpg

(d)Joyce, Dave E (1998). Euclid's Elements, Department of Mathematics and Computer Science. http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

(e)Non-Euclidean Geometry https://upload.wikimedia.org/wikipedia/commons/9/97/Triangles_%28spherical_geometry%29.jpg

(f)Abraham Lincoln https://upload.wikimedia.org/wikipedia/commons/7/7e/Abraham_Lincoln_by_Byers,_1858_-_crop.jpg

(g)Video Presentation, created for Math 5010

(h)Lincoln - Clip3, Lincoln on Euclid, YouTube.com, Date accessed: December 8, 2015. https://www.youtube.com/watch?v=SPiw7bKwL2M

(i)Einstein http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters_2015_Jan_1/quantum_theory_completeness/einstein.jpg

(j)(1.4) Side-Angle-Side, Euclid's Proof, Mathematicsonline. YouTube.com, Date accessed: December 8, 2015. https://www.youtube.com/watch?v=sk2dL_kitcE

(k)Bultena, Sandy. Euclid's Elements Book 1 - Proposition 32, You Tube.com. Date accessed: December 8, 2015. https://www.youtube.com/watch?v=b689uayOkr8

(l)Euclid's Elements: Book 1, Proposition 47, Pythagoreanmath.com. Date accessed: December 8, 2015. http://pythagoreanmath.com/euclids-elements-book-1-proposition-47/

(m)Mathematicsonline library, YouTube.com. Date accessed: December 8, 2015. https://www.youtube.com/channel/UCoi8JfyjaFVzoWKzA6Gsg_A

(n)Sandy Bultena library, YouTube.com. Date accessed: December 8, 2015. https://www.youtube.com/channel/UCnHh6XeLupJ5FHSKDh9eIMw/feed

(o)Pythagorean Animation. Date accessed: December 8, 2015. https://upload.wikimedia.org/wikipedia/commons/7/70/Pythagoras-2a.gif

(p)Pythagorean Water GIF. Date accessed: December 8, 2015. http://i.kinja-img.com/gawker-media/image/upload/s--jCEsKyFc--/18nam36mzona9gif.gif

(q)Geogebra applet, created for Math 5010.




Section Description
History and Background This section of the wepage introduces Euclid, who influenced him, Elements, and questions that arise from Elements.
Significance and Application This section addresses the influnce of Elements and applications into other fields of study.
Explanation of Mathematics This section looks at how Elements is organized, explains inductive and deductive principles, and provides a few examples of proofs
References This section provides the references cited in this webpage.


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