General Fashoda Meet Theorem for Unit Circle and Square
نویسنده
چکیده
One can prove the following propositions: (2) For all real numbers a, b, r such that 0 ¬ r and r ¬ 1 and a ¬ b holds a ¬ (1 − r) · a + r · b and (1 − r) · a + r · b ¬ b. (3) For all real numbers a, b such that a 0 and b > 0 or a > 0 and b 0 holds a + b > 0. (4) For all real numbers a, b such that −1 ¬ a and a ¬ 1 and −1 ¬ b and b ¬ 1 holds a · b ¬ 1. (5) For all real numbers a, b such that a 0 and b 0 holds a· √ b = √ a · b. (6) For all real numbers a, b such that −1 ¬ a and a ¬ 1 and −1 ¬ b and b ¬ 1 holds (−b) · √ 1 + a ¬ √ 1 + b and − √ 1 + b ¬ b · √ 1 + a.
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