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Questa Cmap, creata con IHMC CmapTools, contiene informazioni relative a: La circonferenza, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Equazione in forma canonica </mtext> <mmultiscripts> <mtext> x </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> y </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> +ax+by+c=0 </mtext> </mrow> </math> ???? dimostrazione, La circonferenza è possibile rappresentarla nel piano cartesiano <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Equazione della circonferenza di centro C( </mtext> <mmultiscripts> <mtext> x </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> <mtext> , </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> <mtext> ) e raggio r </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> x- </mtext> <mmultiscripts> <mtext> x </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> </mfenced> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> y- </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> </mfenced> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> r </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> </mrow> </math>, dimostrazione si giunge <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Equazione della circonferenza di centro C( </mtext> <mmultiscripts> <mtext> x </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> <mtext> , </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> <mtext> ) e raggio r </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> x- </mtext> <mmultiscripts> <mtext> x </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> </mfenced> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> y- </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> </mfenced> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> r </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> </mrow> </math>, il luogo dei punti del piano che hanno la stessa distanza (il raggio) da un punto fisso (il centro), La circonferenza è il luogo dei punti del piano, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Equazione della circonferenza di centro C( </mtext> <mmultiscripts> <mtext> x </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> <mtext> , </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> <mtext> ) e raggio r </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> x- </mtext> <mmultiscripts> <mtext> x </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> </mfenced> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> y- </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> 0 </mtext> <none/> </mmultiscripts> </mfenced> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> r </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> </mrow> </math> che può essere anche scritta <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Equazione in forma canonica </mtext> <mmultiscripts> <mtext> x </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> y </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> +ax+by+c=0 </mtext> </mrow> </math>, La circonferenza analizziamo Proprietà della circonferenza, la stessa distanza (il raggio) da un punto fisso (il centro) a partire da tale definizione dimostrazione