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 Mathematics 1!

 

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A Collection of Mathematical Articles

   by

David W. Hansen

" . . . at play in the fields of mathematics."

                                                                                                      

                                                                                                                 Other Articles

                                                                                            Pythagorean Quadruples          Franz's Dilemma

                       Mathematical Musings                     Writing Numbers as Sums of Multiples in Consecutive Order      

              1. Consecutive Squares Equations                       Euclid's Proof of the Pythagorean Theorem 

              2. Up and Down Series                                Divisibility Rules          Trigonometric Triangles

              3. Down and Up Series                                Finding the Number of Factors of a Natural Number

              4. Cubes to a Square                                  Finding Cubes and Cube Roots of Radical Expressions

              5. Alternating Squares                                 Nice Numbers           12 Is A Remarkable Number

              6. The Cubic Formula                                             Patterns in Pythagoras

              7. Representing Natural Numbers by                  1. Patterns in Right Triangles and Pythagorean Triples

                   a)  Sums of Consecutive Integers                    2. More Patterns in Right Triangles and Pythagorean Triples

                b)  Sums of Consecutive Odd Integers             3. Even More Patterns in Right Triangles and Pythagorean Triples

                c)  Sums of Consecutive Even Integers                               Part A              Part B             Part C

              8. Cubes as Sums of Consecutive Odd Integers  4. Still More Patterns in Right Triangles and Pythagorean Triples

                 9. Powers of Natural Numbers                            5. Further Patterns in Right Triangles and Pythagorean Triples

     

                                                                     Non-Mathematical Articles                     

                                                                              Musical Film Clips

    

                                If you have any comments or questions, please contact me at [email protected]

 

                                                                             Mardi Gras before the Thaw                           Carl Barks

" . . . at play in the fields of mathematics."

           Another Rainbow Lithographs     

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