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Ayoub, Ayoub B. – Mathematics and Computer Education, 2005
A triple (x,y,z) of natural numbers is called a Primitive Pythagorean Triple (PPT) if it satisfies two conditions: (1) x[squared] + y[squared] = z[squared]; and (2) x, y, and z have no common factor other than one. All the PPT's are given by the parametric equations: (1) x = m[squared] - n[squared]; (2) y = 2mn; and (3) z = m[squared] +…
Descriptors: Geometric Concepts, Equations (Mathematics), Mathematical Concepts, Problem Solving
Farnsworth, David L. – Mathematics and Computer Education, 2006
The goals of this note are to derive formulas for the coefficients a and b in the least-squares regression plane y = at + bx + c for observations (t[subscript]i,x[subscript]i,y[subscript]i), i = 1, 2, ..., n, and to present meanings for the coefficients a and b. In this note, formulas for the coefficients a and b in the least-squares fit are…
Descriptors: Calculus, Correlation, Mathematical Formulas, Equations (Mathematics)
Chandrupatla, Tirupathi R.; Osler, Thomas J. – Mathematics and Computer Education, 2004
A right triangle with legs x and y and hypotenuse z in which x, y and z are all positive integers is called a Pythagorean triangle (PT) and the triple denoted by [x,y,z] is a Pythagorean triple. If x, y and z are all relatively prime (gcd is 1), then the triangle is called a primitive Pythagorean triangle (PPT) and the tripe a primitive…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction