This art is geometry "the measuring of Earth. ... In thirteen books he collected The Elements of geometry, starting from the most basic concepts, "a point is that which has no part- and "a line is breadthless length-. ... We set out on our inquiry armed with twenty-three definitions, five postulates, an equal number of common notions, and forty-six propositions. ... Focusing our mind on the metaphysical plane where the triangle exists and by following Euclid's reasoning we find that we too can have access to that realm where we'll see true images, rather than likenesses of them....

• Word Count: 1043
• Approx Pages: 4
• Grade Level: Undergraduate

He did this by engaging in casual conversations with whomever he happened to meet on the streets. ... His Academy, which opened in about 387 BC, helped start the college and university system that we still have today. ... Plato was a believer in the "quadrivium" which is about four math fields of study in the liberal arts, which begins with arithmetic, then to plane geometry, solid geometry, and lastly astronomy and harmonics. ... With the forced suicide of Socrates in 399, Plato and other followers took temporary refuge in Megara. ... In conclusion we can see that Plato was a very talented in...

• Word Count: 1179
• Approx Pages: 5

With the most suitable measurements of beam deflection the average value of Young's modulus and the uncertainties associated with that is calculated. The results were in accordance with the theoretical predictions. ... This was achieved by analyzing the geometry of the experiment, identifying the critical parameters affecting the results based on the simple beam bending equation, by repeating the measurements and by comparing the experimental data with the theoretical predictions. ... Provided the applied load acts in the XY plane and deflection occurs in this same plane, the elastic mod...

• Word Count: 1077
• Approx Pages: 4
• Has Bibliography
• Grade Level: Undergraduate

A few example interpretations include alien intervention: an idea that alien technology has helped man progress to the ^next level^ of consciousness; to an understanding beyond the physical realm. ... Instead, we are greeted with what appears to be an elaborately decorated hotel room void of doors and windows, complete with renaissance-like artwork and glowing floor tiles. ... The combination of geometric lines, the definition of the x, y and z planes and bright white light give an impression of calculation, purity and precision: elements that are synonymous with high technology. ... Green uni...

• Word Count: 1730
• Approx Pages: 7
• Grade Level: Undergraduate

One of the best examples of Galileo's role as scientist and skeptic is in his work with telescopic astronomy. ... Galileo wrote to him to correct his errors by using simple geometry (Machamer 29). ... The simplest explanation is that this planet goes around the sun in accordance with the Copernican system? ... Two nights later he looked again, and again the stars were arranged differently, but always in a straight line with Jupiter. ... The astronomical discoveries he made with his telescopes were described in a short book called Message from the Stars published in Venice in May 1610. ...

• Word Count: 4135
• Approx Pages: 17
• Grade Level: High School

During the seminar, the researcher had an informal interview with the other mathematics teacher, teaching Grade 7, in the district. ... The same is true with that of the experience of the researcher. ... This scenario encourages the researcher to conduct the study and at the same time helps the students to improve their competence in mathematics. ... With the mastery exercises, it can help Secondary schools to achieve higher performance in Mathematics 7. ... Grade 7 Mathematics covers numbers and number sense; measurement; patterns and algebra; geometry and statistics and probability. ...

• Word Count: 4402
• Approx Pages: 18
• Has Bibliography
• Grade Level: Undergraduate

Saturn is one of the most beautiful sites in our Solar System with its spectacular ring system. ... Early observations of Saturn were complicated by the fact that the Earth passes through the plane of Saturn's rings every few years as Saturn moves in its orbit, therefore a low resolution image of Saturn changes drastically. In 1659, Christiann Huygens correctly inferred the geometry of the rings. ... A third possibility is that the object was shattered by collisions with larger objects orbiting the planet. ... This voyage also helped to discovered that two of Saturn's small moon...

• Word Count: 3775
• Approx Pages: 15
• Has Bibliography
• Grade Level: High School