Only the length of the chain could alter the time of the swing. ... Every night he watched the heavens and recorded his findings. ... In 1610, Galileo published The Starry Messenger, presenting his findings. ... He was forced to recant his scientific findings. ... When he was twelve years old, Blaise asked his tutor about geometry. ...
Galileo's duties as a professor of mathematics at Padua were to teach Euclidean geometry and standard (geocentric) astronomy to medical students. ... This discovery allowed arcs of physical objects to be calculated. ... After his failure at trying to find a mathematical method of finding the area of a cycloid, he tried weighing pieces of metal cut into the shape of the cycloid. ... Galileo went to great lengths to support Copernicanism in the use of his discoveries and observations, he also used his great mathematical skills to aid in proving Copernican theories. ...
Perhaps the two most sought after concepts in the history of the subject were the integral and the derivative, as they were a necessity in finding out information needed about the physical world. For example, computation of the derivative could provide the instantaneous velocity of a moving particle; integration was useful in finding the area of curved regions. ... Thereafter, calculus was actively used to solve the major scientific dilemmas of the time, such as:- Calculating the slope of the tangent line to a curve at any point along its length Determining the velocity and acceleratio...
Grade 7 Mathematics covers numbers and number sense; measurement; patterns and algebra; geometry and statistics and probability. ... The learning competencies in Measurement includes describes what it means to measure; describes the development of measurement from the primitive to the present international system of units; estimates or approximates the measures of quantities particularly length, weight/mass, volume, time, angle and temperature; uses appropriate instruments to measure quantities such as length, weight/mass, volume, time, angle and temperature; converts measurements from one un...
