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जैन शब्दों का अर्थ जानने के लिए किसी भी शब्द को नीचे दिए गए स्थान पर हिंदी में लिखें एवं सर्च करें

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गणित I.3: Difference between revisions

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Revision as of 23:31, 23 December 2013 (view source)
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��<�o�l� �s�t�a�r�t�=�"�3�"�>�
<ol start="3">
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  <li><span class="HindiText"><strong name="I.3" id="I.3"> गणित की प्रक्रियाओं की अपेक्षा सहनानियाँ</strong>  
� � � � �<�/�s�p�a�n�>�
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      <li class="HindiText"><span class="HindiText" name="I.3.1" id="I.3.1"><strong> परिकर्माष्‍टक की अपेक्षा सहनानियाँ</strong> </span><br />
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        (गो.सा./जी.का./की अर्थ संदृष्टि) <br />
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        <strong>नोट</strong>—यहाँ ‘x’ को सहनानी का अंग न समझना। केवल आँकड़ों का अवस्‍थान  दर्शाने को ग्रहण किया है। </li>
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</ol>
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    <td width="160" valign="top" class="HindiText"><br />
� � �<�t�r�>�
      व्‍यकलन (घटाना)         </td>
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    <td width="160" valign="top"><p class="HindiText">: <img src="JSKHtmlSample_clip_image002_0048.gif" alt="" width="6" height="30" /> </p></td>
� � � � � � �5 M
    <td width="160" valign="top"><p class="HindiText">गुणा     </p></td>
/ � 2 ( �(�� � > ( > )����������������� �<�/�t�d�>�
    <td width="160" valign="top"><p class="HindiText">: XI </p></td>
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    <td width="160" valign="top"><p class="HindiText">संकलन (जोड़ना)          </p></td>
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    <td width="160" valign="top"><p class="HindiText">: <img src="JSKHtmlSample_clip_image004_0011.gif" alt="" width="8" height="24" /></p></td>
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    <td width="160" valign="top"><p class="HindiText">मूल      </p></td>
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    <td width="160" valign="top"><p class="HindiText">: मू.</p></td>
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  </tr>
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  <tr>
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    <td width="160" valign="top"><p class="HindiText">किंचिदून           </p></td>
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    <td width="160" valign="top"><p class="HindiText">: x‒</p></td>
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    <td width="160" valign="top"><p class="HindiText">वर्ग मूल            </p></td>
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    <td width="160" valign="top"><p class="HindiText">: व.मू.</p></td>
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  </tr>
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  <tr>
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    <td width="160" valign="top"><p class="HindiText">एक घाट           </p></td>
� � �<�/�t�r�>�
    <td width="160" valign="top"><p class="HindiText">: १<img src="JSKHtmlSample_clip_image006_0013.gif" alt="" width="10" height="30" /></p></td>
� � �<�t�r�>�
    <td width="160" valign="top"><p class="HindiText">प्रथम वर्गमूल    </p></td>
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    <td width="160" valign="top"><p class="HindiText">: मू१</p></td>
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  </tr>
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  <tr>
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    <td width="160" valign="top"><p class="HindiText">किंचिदधिक      </p></td>
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    <td width="160" valign="top"><p class="HindiText">: <img src="JSKHtmlSample_clip_image008_0013.gif" alt="" width="11" height="35" /></p></td>
� � �<�t�r�>�
    <td width="160" valign="top"><p class="HindiText">द्वितीय वर्गमूल           </p></td>
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    <td width="160" valign="top"><p class="HindiText">: मू२</p></td>
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  </tr>
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  <tr>
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    <td width="160" valign="top"><p class="HindiText">संकलने में एक दो तीन आदि राशियाँ</p></td>
� � �<�/�t�r�>�
    <td width="160" valign="top"><p class="HindiText">: ।,।।, ।।।</p></td>
� � �<�t�r�>�
    <td width="160" valign="top"><p class="HindiText">घनमूल </p></td>
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    <td width="160" valign="top"><p class="HindiText">: घमू    </p></td>
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  </tr>
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  <tr>
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    <td width="160" valign="top"><p class="HindiText">ऋण राशि         </p></td>
� � �<�/�t�r�>�
    <td width="160" valign="top"><p class="HindiText">: x० </p></td>
� � �<�t�r�>�
    <td width="160" valign="top"><p class="HindiText">विरलन राशि    </p></td>
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    <td width="160" valign="top"><p class="HindiText">: वि.</p></td>
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  </tr>
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  <tr>
� � � � �<�t�d� �w�i�d�t�h�=�"�1�6�0�"� �v�a�l�i�g�n�=�"�t�o�p�"�>�<�p� �c�l�a�s�s�=�"�H�i�n�d�i�T�e�x�t�"�>�:� �5 ? .�<�/�p�>�<�/�t�d�>�
    <td width="160" valign="top"><p class="HindiText">पाँच घाट लक्ष या ल५</p></td>
� � �<�/�t�r�>�
    <td width="160" valign="top"><p class="HindiText">: ल ५ </p></td>
� � �<�t�r�>�
    <td width="319" colspan="2" valign="top"><p class="HindiText">(विशेष देखो गणित/II/१)</p></td>
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� � �<�t�r�>�
    <td width="160" valign="top"><p class="HindiText">असंख्‍यात भाग            </p></td>
� � � � �<�t�d� �w�i�d�t�h�=�"�3�1�9�"� �v�a�l�i�g�n�=�"�t�o�p�"�>�<�p� �c�l�a�s�s�=�"�H�i�n�d�i�T�e�x�t�"�>�& K �� A # 9 > ( ? �(�( ? 7 G � > 9 > 0 )��������������������� �<�/�p�>�<�/�t�d�>�
    <td width="160" valign="top"><p class="HindiText">: ४</p></td>
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    <td width="160" valign="top"><p class="HindiText">असंख्‍यातगुण  </p></td>
� � �<�/�t�r�>�
    <td width="160" valign="top"><p class="HindiText">: ७</p></td>
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  </tr>
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    <td width="160" valign="top"><p class="HindiText">संख्‍यातभाग</p></td>
� � �<�/�t�r�>�
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    <td width="160" valign="top"><p class="HindiText">अनन्‍त गुण      </p></td>
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    <td width="160" valign="top"><p class="HindiText">: ८</p></td>
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[[गणित I.2 | Previous Page]]
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Revision as of 22:15, 24 December 2013



  1. गणित की प्रक्रियाओं की अपेक्षा सहनानियाँ
    1. परिकर्माष्‍टक की अपेक्षा सहनानियाँ
      (गो.सा./जी.का./की अर्थ संदृष्टि)
      नोट—यहाँ ‘x’ को सहनानी का अंग न समझना। केवल आँकड़ों का अवस्‍थान दर्शाने को ग्रहण किया है।

व्‍यकलन (घटाना)        

: <img src="JSKHtmlSample_clip_image002_0048.gif" alt="" width="6" height="30" /> 

गुणा    

: XI

संकलन (जोड़ना)         

: <img src="JSKHtmlSample_clip_image004_0011.gif" alt="" width="8" height="24" />

मूल     

: मू.

किंचिदून          

: x‒

वर्ग मूल           

: व.मू.

एक घाट          

: १<img src="JSKHtmlSample_clip_image006_0013.gif" alt="" width="10" height="30" />

प्रथम वर्गमूल   

: मू१

किंचिदधिक     

: <img src="JSKHtmlSample_clip_image008_0013.gif" alt="" width="11" height="35" />

द्वितीय वर्गमूल          

: मू२

संकलने में एक दो तीन आदि राशियाँ

: ।,।।, ।।।

घनमूल

: घमू   

ऋण राशि        

: x०

विरलन राशि   

: वि.

पाँच घाट लक्ष या ल५

: ल ५

(विशेष देखो गणित/II/१)

    1. लघुरिक्‍थ गणित की अपेक्षा सहनानियाँ
      (गो.सा./जी.का./की अर्थ सं‍दृष्टि)

संकेत—अ.छे   

: अर्धच्‍छेद राशि           

 

व.श.

: वर्ग शलाका राशि       

 

पल्‍य की अर्धच्‍छेद राशि          

: log२ of पल्‍य 

: प२ (गो.क/पृ ३३६)‒छे  

पल्‍य की व.श. (जघन्‍य वर्गणा)

: log log२ of पल्‍य       

: व       

सागर की अ.छे 

: पल्‍य की अर्धच्‍छेद+संख्‍यात 

: <img src="JSKHtmlSample_clip_image010_0009.gif" alt="" width="9" height="28" />

सूच्‍यंगुल की अ.छे       

=(पल्‍य की अर्धच्‍छेद राशि)२

 छे छे   

सूच्‍यंगुल की व.श.

=पल्‍य की व.श.×२

: व२     

प्रतरांगुल की अ.छे

=सूच्‍यंगुल की अ.छे×२

: छे छे२

प्रतरांगुल की व.श.

=सूच्‍यंगुल की व.श.+१

: <img src="JSKHtmlSample_clip_image012_0021.gif" alt="" width="17" height="38" />

घनांगुल की अ.छे.

=सूच्‍यंगुल की अ.छे.×३

: छे छे३

घनांगुल की व.श.

=(जातै द्विरूप वर्गधारा विषै जेते स्‍थान गये सूच्‍यंगुल हो है तेते ही स्‍थान गये द्विरूप घन धारा विषै घनांगुल हो है

: व२

जगश्रेणी की अ.छे

=पल्‍य की अ.छे÷असं/अथवा तीहि प्रमाण विरलन राशि, ताके आगे घनांगुल की अ.छे का गुणकार जानना।         

<img src="JSKHtmlSample_clip_image014_0008.gif" alt="" width="57" height="40" />   <img src="JSKHtmlSample_clip_image016_0006.gif" alt="" width="4" height="22" />या वि छे छे३

जगश्रेणी की व.श.

=(घनांगुल की व.श. + ज. परीता२) x

: <img src="JSKHtmlSample_clip_image018_0004.gif" alt="" width="46" height="56" />

जगप्रतर की अ.छे

=जगश्रेणी की अ.छे×२

: [<img src="JSKHtmlSample_clip_image020_0002.gif" alt="" width="49" height="25" />

जगप्रतर की व.श

=जगश्रेणी की व.श+१

: <img src="JSKHtmlSample_clip_image022_0000.gif" alt="" width="57" height="74" />

घनलोक की अ.छे

=सूच्‍यंगुल की अ.छे×३

: <img src="JSKHtmlSample_clip_image024_0000.gif" alt="" width="45" height="23" />         

घनलोक की व.श.

=जातै द्विरूप वर्ग धाराविषै जेते स्‍थान गये जगश्रेणी हो है, तेते ही स्‍थान गये द्विरूप घनधारा विषै घनलोक हो है। 

: <img src="JSKHtmlSample_clip_image018_0005.gif" alt="" width="46" height="56" />

    1. श्रेणी गणित की अपेक्षा सहनानियाँ
      (गो.सा./जी.का./की अर्थ संदृष्टि)

एकगुणहानि    

: ८

एक गुणहानि विषै स्‍पर्धक       

: ९

ड्‍योढ़ गुणहानि 

: १२

दो गुणहानि (निषेकाहार)          

: १६

नाना गुणहानि 

: ना     

किंचिदून ड्‍योढ़ (द्वयर्ध.) गुणहानि गुणित समयप्रबद्ध       

: ∂१२᳢

उत्‍कृष्‍ट समयप्रबद्ध     

: स३२

    1. षट्‌गुणहानि की अपेक्षा सहनानियाँ
      (गो.सा./जी.का./की अर्थ संदृष्टि)

अनन्‍तभाग     

: उ       

संख्‍यातगुण

: ६

असंख्‍यात भाग           

: ४

असंख्‍यातगुण 

: ७

संख्‍यातभाग

: ५

अनन्‍त गुण     

: ८

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