Plato describes in Timaeus a cosmology based on regular
... congratulations. So much, then, for the selection of the two triangles out of which the bodies of fire and the other bodies are constructed—the [rightangled] isosceles, and [the right-angled] scalene whose longer side squared is always triple its shorter side squared [i.e., the half-equilateral]. At ...
... congratulations. So much, then, for the selection of the two triangles out of which the bodies of fire and the other bodies are constructed—the [rightangled] isosceles, and [the right-angled] scalene whose longer side squared is always triple its shorter side squared [i.e., the half-equilateral]. At ...
Solutions - New Zealand Maths Olympiad Committee online
... • For all x and y, f (xy) = f (x)f (y), • f (30) = 1, and • for any n whose last digit is 7, f (n) = 1. Obviously, the function whose value at n is 1 for all n is one such function. Are there any others? If not, why not, and if so, what are they? Solution: There is one other function satisfying the ...
... • For all x and y, f (xy) = f (x)f (y), • f (30) = 1, and • for any n whose last digit is 7, f (n) = 1. Obviously, the function whose value at n is 1 for all n is one such function. Are there any others? If not, why not, and if so, what are they? Solution: There is one other function satisfying the ...
Congruent shapes Congruent shapes have the same size and the
... For the quadrilaterals, I used different markings for each side and each angles. Again, corresponding sides and angles have the same amount of markings For the rectangles, I did not use four different markings although we have four sides. Since opposite sides are equal, I used the same marking for ...
... For the quadrilaterals, I used different markings for each side and each angles. Again, corresponding sides and angles have the same amount of markings For the rectangles, I did not use four different markings although we have four sides. Since opposite sides are equal, I used the same marking for ...
