作者: Toshikazu Sunada
DOI: 10.1007/978-4-431-54177-6_4
关键词: Rectangle 、 Cellular homology 、 Polyhedron 、 Combinatorics 、 Algebraic number 、 Mathematics 、 Singular homology 、 Betti number 、 Base (topology) 、 Geometric algebra
摘要: Ancient Greek mathematicians tried to establish their theory of area and volume by means “geometric algebra”. Namely, in order compare the (or volume) two figures, they made up an algebraic system with addition subtraction performed among a class e.g., polygons or polyhedra. Figure 4.1 illustrates way prove using geometric algebra that triangle is equal one-half rectangle same base height.