पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

iv INTRODUCTION
mathematical words or phrases, where we had to face some
difficulty, we were guided by the criterion of relevance and
appropriateness. Where alterations and modifications have
been made, the original readings have been given in the foot-
notes, so that the interested reader may himself decide the
appropriateness of the alterations and modifications made by
us. Whenever missing or explanatory words have been inser-
ted, they have been enclosed within small brackets ( ).
Portions of the commentary which appeared to us irrelevant
have been enclosed within square brackets [ ] .
The verses of the text were not numbered in the manu-
script. But for the facility of reference we felt the desirability
of numbering them. Here also we had to face some difficulty.
We found that verses containing examples were in many cases
lying between parts of verses containing rules, and further
that the two types of verses were not in the same metre, so
that it was impossible to provide a continuous numbering to
the whole text. We had therefore to number the verses con-
taining examples separately from these containing definitions
and rules, as Sudhâkara Dvivedî had done in numbering the
verses of the Triśatikâ. To distinguish the two types of
verses and their numbering we have got them printed in
different points.
For our English-knowing readers, who are not versed in
Sanskrit, we have rendered the whole text of the Pâṭīgaṇita
into English. Here we have aimed at giving as far as possible
a literal version of the text. Technical terms which have
their English equivalents have been translated into English ;
others have been kept as they are and have been explained.
The portions of the English translation enclosed within
brackets do not occur in the text and have been given in the
translation to make it understandable, and are at places expla-
natory. Without these portions the translation at places would
appear meaningless to the reader who cannot consult the
original for lack of knowledge of Sanskrit. We have tried our