It was also during this period that the ideas of calculus were generalized to Euclidean space and the complex plane. ... In the second book of this work Archimedes' most important result is to show how to cut a given sphere by a plane so that the ratio of the volumes of the two segments has a prescribed ratio. ...
Grade 7 Mathematics covers numbers and number sense; measurement; patterns and algebra; geometry and statistics and probability. ... The learning competencies in Geometry represents a point, line and plane using concrete and pictorial models; defines, identifies and names the subsets of a line; illustrates, names, identifies and defines the different kinds of angles; derives relationships of geometric figures using measurements and by inductive reasoning: supplementary angles, complementary angles, equal angles, adjacent angles, linear pairs, perpendicular lines and parallel lines; derives re...
