The Theory of Plane Area at the Crossroads: Philosophical, Historical, and Logical Perspectives by Eduardo N. Giovannini , Edward Hermann Haeusler , Abel Lassalle CasanaveEnglish | PDF EPUB (True) | 2024 | 160 Pages | ISBN : 3031709152 | 12.7 MB
This book explores a cluster of philosophical, historical, and logical problems concerning the foundations of the theory of plane area in elementary geometry. The motivation of this study is a notable geometrical proposition known as De Zolt’s postulate, which asserts that a polygon cannot be equal in area to a proper polygonal part. The book is the first systematic investigation of the philosophical and foundational significance of this proposition, which can also be described as the “fundamental theorem” of the theory of plane area.