... famous theorem, it is quite possible that his most lavish accomplishment is the mathematical basis of musical intervals. Pythagoras's theorem which states that the square of the hypotenuse of a right triangles is equal the sum of the squares of the other two sides was actually said to be thought of by Babylonian mathematicians from earlier times. Plato was very found of ... of geometric principles. Not much is known about what advances in geometry were made between the times of Thales and the Pythagoreans. The Pythagoreans advanced the understanding of not only triangles, but a number o...

• Word Count: 750
• Approx Pages: 3
• Grade Level: High School

... can be reduced using an easier way. In geometry, he figured out that the sum of the sides of the triangle was equal was related to the angels of the triangles. His major contribution was the Pythagoras theorem. In conclusion, Hellenic and Hellenistic Periods had lots of contributions towards western civilization. There were different people who added their known knowledge towards ... ...

• Word Count: 1162
• Approx Pages: 5
• Grade Level: High School

... this perfect square "exist", in some sense? Plato thought so; after all, everyone seems to have access to it. It all sounds plausible, so where are the perfect squares, perfect triangles, circles, trees, love, justice, etc? They"re off in some part of the universe that we can or access partially and indirectly, through (rational) mental effort. So does the number ... ...

• Word Count: 2623
• Approx Pages: 10
• Has Bibliography

... that mountain beautiful". This does not necessarily show an advance, but a different approach to similar topics. Plato used mathematics to explain that we base geometry around perfect angles, circle, and triangles, even though they do not exist. For example, many woman are very beautiful, but no one woman epitomizes beauty. It is something unattainable in a sense (you can't "have" beauty), but ... ...

• Word Count: 3385
• Approx Pages: 14
• Has Bibliography
• Grade Level: High School

... of ourselves, and is associated with Knowledge, Truth, Morality, and ultimately the Soul; and through the mind we have access to the eternal, unchanging ideals of Justice, Beauty, and even triangles, from which we continually draw upon in our daily lives. As a result, knowledge becomes our greatest virtue, and justice becomes a universal concern, that which can be universally recognized and understood ... ...

• Word Count: 1471
• Approx Pages: 6
• Has Bibliography
• Grade Level: High School

... this perfect square "exist", in some sense? Plato thought so; after all, everyone seems to have access to it. It all sounds plausible, so where are the perfect squares, perfect triangles, circles, trees, love, justice, etc? They"re off in some part of the universe that we can or access partially and indirectly, through (rational) mental effort. So does the number ... ...

• Word Count: 2623
• Approx Pages: 10