From the lines of the sunset and the almost perfectly triangular shape of the volcano to the carefully studied proportions of architectural designs and the sharply defined muscles of an athletic man, we see the very elements of the art that measures the world that I spoke of. ... In a rigorous, fast, and easily understandable way, XLVII proves that in a right-angled triangle the square of the hypotenuse, or diagonal, is equal to the sum of the squares on the remaining sides. ... "In right-angled triangles-, the Alexandrian mathematician tells us, "the square on the side subtending the right a...

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

They also found that the error of the angles at the corners to be only 12", or about 1/27000 of a right angle (Smith 43). ... The third theory states that the angle of elevation of the passage leading to the principal chamber determines the latitude of the pyramid, about 30o N, or that the passage itself points to what was then known as the pole star (Smith 44). ... Instead, what they did was explain and define in an ordered sequence the steps necessary to do it again, and at the conclusion they added a verification or proof that the steps outlined did lead to a correct solution of the p...

• Word Count: 977
• Approx Pages: 4
• Has Bibliography
• Grade Level: High School