Χαράλαμπος .Σπ. Λυκούδης - ΜαθηματικόςΜαθηματικό Στέκι…Κατασκευαστής Σελίδας: Χαρ. Λυκούδης
\boldsymbol{\color{Black} 3/2016. \,\,\, \color{blue} \,\,\, \Theta\epsilon\omega\rho o\acute{\upsilon}\mu\epsilon \,\,\, \tau\epsilon\tau\rho\acute{\alpha}\pi\lambda\epsilon\upsilon\rho o \,\,\, AB\Gamma\Delta \,\,\, \mu\epsilon \,\,\, \pi\epsilon\rho\acute{\iota}\mu\epsilon\tau\rho o \,\,\, 2S.}
\boldsymbol{\color{blue} N\alpha \,\,\, \delta\epsilon\acute{\iota}\xi\epsilon\tau\epsilon \,\,\, \acute{o}\tau\iota:}
\boldsymbol{\color{Blue} \bullet \:\:\: (A\Gamma)\: \textless \: S \,\,\,\,\, \kappa\alpha\iota}
\boldsymbol{\color{Blue} \bullet \:\:\: (A\Gamma)^2+(B\Delta)^2 \:\textless\: S[(A\Gamma)+(B\Delta)].}
\boldsymbol{\color{black} A\pi\acute{o}\delta\epsilon\iota\xi\eta }
\boldsymbol{\color{Blue} \bullet \:\:\: A\pi \acute{o} \: \tau\alpha \: \tau\rho\acute{\iota}\gamma\omega\nu\alpha \:\:\: A \Delta \Gamma \:\:\: \kappa\alpha\iota \:\:\: AB\Gamma \: \:\: \acute{\epsilon}\chi o \upsilon\mu\epsilon :}
\boldsymbol{\color{Blue} \, \, \,\, \, \, \, (A \Gamma) \: \textless \: (A \Delta)\:+\: (\Delta \Gamma) \:\:\:\:\:\: (1) \:\:\:\:\:\: \kappa \alpha \iota \:\:\:\:\:\: (A \Gamma) \: \textless \: (AB)\:+\: (B\Gamma) \:\:\:\:\:\: (2). }
\boldsymbol{\color{Blue} \Pi\rho o\sigma\theta\acute{\epsilon}\tau o \nu\tau\alpha\varsigma \,\,\, \kappa\alpha\tau\acute{\alpha} \,\,\, \mu\acute{\epsilon}\lambda\eta \,\,\, \tau\iota\varsigma \,\,\, (1) \,\,\, \kappa\alpha\iota \,\,\, (2) \,\,\, \pi\alpha\acute{\iota}\rho\nu o\upsilon\mu\epsilon: }
\boldsymbol{\color{Blue} \,\,\, 2(A \Gamma) \: \textless \: (A \Delta)\:+\: (\Delta \Gamma) \:+\:(AB)\:+\: (B\Gamma) \:\: \Rightarrow}
\boldsymbol{\color{Blue} \Rightarrow\:\: 2(A\Gamma)\:\textless \: 2S \:\: \Rightarrow \:\: (A\Gamma)\:\textless\:S \:\:\:\:\:\:(3). }
\boldsymbol{\color{Blue} M\epsilon \,\,\, \alpha\nu\acute{\alpha}\lambda o \gamma o \upsilon\varsigma \,\,\, \sigma\upsilon\lambda\lambda o\gamma\iota\sigma\mu o\acute{\upsilon}\varsigma \,\,\, \delta\iota\alpha\pi\iota\sigma\tau\acute{\omega}\nu o\upsilon\mu\epsilon \,\,\, \acute{o}\tau\iota: \,\,\,\, (B \Delta) \: \textless \: S \,\,\,\,\, (4). }
\boldsymbol{\color{Blue} \bullet \,\,\, H \: \alpha\nu\iota\sigma\acute{o}\tau\eta\tau\alpha \:\:\: (3) \:\:\: \Rightarrow \:\:\: (A\Gamma).(A\Gamma) \:\textless \:S.(A\Gamma)\:\:\Rightarrow\:\:(A\Gamma)^2\:\textless\:S(A\Gamma)\:\:\:\:\:\:(5).}
\boldsymbol{\color{Blue} \:\:\:\:\: \acute{O}\mu o \iota\alpha \: \eta \:\:\: (4) \:\:\Rightarrow \:\: (B\Delta)^2 \:\textless \:S(B\Delta)\:\:\:\:\:\: (6).}
\boldsymbol{\color{Blue} \Pi\rho o\sigma\theta\acute{\epsilon}\tau o \nu\tau\alpha\varsigma \,\,\, \kappa\alpha\tau\acute{\alpha} \,\,\, \mu\acute{\epsilon}\lambda\eta \,\,\, \tau\iota\varsigma \,\,\, (5) \,\,\, \kappa\alpha\iota \,\,\, (6) \,\,\, \acute{\epsilon}\chi o\upsilon\mu\epsilon: }
\boldsymbol{\color{Blue} (A\Gamma)^2\:+\:(B\Delta)^2\:\textless\:S(A\Gamma)\:+\:S(B\Delta) \:\:\Rightarrow \:\: (A\Gamma)^2\:+\:(B\Delta)^2\:\textless\:S[(A\Gamma)\:+\:(B\Delta)].}