... as finding the area of portions of the spiral. In the work on conoids and spheroids Archimedes examines paraboloids of revolution, hyperboloids of revolution, and spheroids obtained by rotating an ellipse either about its major axis or about its minor axis. The main purpose of the work is to investigate the volume of segments of these three-dimensional figures. Archimedes is ... proposed as creating the first calculus by stating the problem (finding the area of parabola) as an infinite series. The finite series was recorded in the standard Greek arithmetic notation. Considering the ...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

... have to be x, as long as there is a variable and the squared symbol. One example of a quadratic function would be y=x + 4x - 3. The graph of a quadratic function is a parabola, meaning it is u' shaped. The parabola can be oriented either upwards or downwards, and can face sideways, but that's a whole other paper(inverse functions, x=y). In order to plot this on a graph, you need it ... ...

• Word Count: 489
• Approx Pages: 2
• Grade Level: High School

... 1624, Briggs almost discovered e and gave the numerical approximation to the base 10 logarithm of e but did not mention e in his work. In 1661, Huygens got the relationship between rectangular hyperbola and the logarithm. He also defined a curve, a "logarithmic" curve, but we call it the exponential curve, the equation is y=ka^x. Huygens also calculated the base of e to 17 decimal places ... ...

• Word Count: 711
• Approx Pages: 3
• Has Bibliography
• Grade Level: High School

... the Earth? That was easily answered by saying that gravity held the object down, but no one really knew the exact path until Galileo solved it. The path is a half Parabola. This is because the velocity in the y direction (Vy) is always increasing while velocity in the x direction (Vx) always remains constant. There are 2 different types of projectile motion. The first ... ...

• Word Count: 468
• Approx Pages: 2
• Grade Level: High School