Alunni > Materiale di studio > Lemniscata

Breve spiegazione

Data una circonferenza e un punto O esterno ad essa, sia Q1 un punto di intersezione tra essa e la retta OQ1.
Traccia il luogo dei punti P appartenenti alla retta OQ1 tali che OP=Q1Q2 
<math display='block'>
   <semantics>
      <mrow>
         <msqrt>
            <mrow>
               <msup>
                  <mi>b</mi>
                  <mn>2</mn>
               </msup>
               <mo>-</mo><mn>4</mn><mi>a</mi><mi>c</mi>
            </mrow>
         </msqrt>
         <mfrac>
            <mrow>
               <mo>-</mo><mi>b</mi><mo>&plusmn;</mo><msqrt>
                  <mrow>
                     <msup>
                        <mi>b</mi>
                        <mn>2</mn>
                     </msup>
                     <mo>-</mo><mn>4</mn><mi>a</mi><mi>c</mi>
                  </mrow>
               </msqrt>
               
            </mrow>
            <mrow>
               <mn>2</mn><mi>a</mi>
            </mrow>
         </mfrac>
         
      </mrow>
      <annotation encoding='MathType-MTEF'>
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   </semantics>
</math>