ThePythagorean theoremstates that the sum of the squares of the legs of a right triangle equals the square of its hypotenuse, that is,a2+b2=c2, as shown inFig. 1. This result was certainly known before the time ofPythagoras, but whether he was the first to actually prove the theorem is...
the design of teaching. As expressed in the title, a well-known topic of geometry, the Pythagorean theorem, is used for illustrating this integrative approach to student teachers. In other words, the emphasis of the paper
Concerning Pell's equation, there is another approach, which is essentially Dirichlet's unit theorem applied to Q(D−−√)Q(D). The proof can be significantly simplified for this field (as well as we need Minkowski's theorem only for Z2Z2, which can be proved just with the ...
Definition 3.2 (Pythagorean fuzzy set (PFS), [54]) Let X be a universal set, then a PFS, A˜ p in X is explained as: A˜ p = { x, μA˜ p (x), γA˜ p (x) : 0 ≤μ2A˜ p (x ) + γ 2 A˜ p (x ) ≤ 1, μA˜ p (x), γA˜ p (x) ∈ [...
To provide a better understanding of these concepts, they will be briefly explained below. 4.1. Savings The importance of the concept of savings in financial education derives from the economy, from both macroeconomic and microeconomic approaches. From the macroeconomic view, savings is the surplus ...