पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/२०६

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एतत् पृष्ठम् परिष्कृतम् अस्ति
10
GAŅITASĀRASAŃGRAHA.

by a factor of the multiplion; or (iii) of using them (in the multiplication) as they are (in themselves)

Examples in illustration hereof.

2. Lotuses were given away (in offering)-- eight of them to each Jina temple. How many (were given away) to 114 temples ?

3. Nine padmarāga gems are seen to have been offered in worship in a single Jina temple. How many will they be (at that same rate) in relation to 288 temples ?

4. One hundred and thirty-nine pușyarāga gems have to be offered in worship in a single Jina temple. Say, how many gems (have to be so offered) in 109 temples.

5. Twenty-seven lotuses have been given away in offering to a single Jina temple. Say, how many they are(which have been at that rate given away) to 1998 (temples).

6. (At the rate of) 108 golden lotuses to each temple, how many will they be in relation to 85697481 (temples) ?

7. If (the number represented by ) the group (of figures) consisting of 1, 8, 6, 4, 9, 9, 7 and 2 (in order from the units' place upwards) is written down and multiplied by 441, what is the value of the (resulting) quantity ?

8. In this (problem), write down (the number represented by) the group (of figures) consisting of 1, 4, 4. 1, 3 and 5 (in order from the units' place upwards), and multiply it by 81; and then tell me the (resulting) number.

9. In this (problem), write down the number 157683 and multiply it by 9, and then tell me, friend, the value of the (resulting) quantity.

10. In this (problem), 12345679 multiplied by 9 is to be written down; this (product) has been declared by the holy preceptor Mahāvira to constitute the necklace of Narapāla.


      4. Here, 189 is mentioned in the original as 40 + 100 -- 1.
      5. Here 1998 is mentioned in the original as 1068 + 900.
    10. Here as well as in the following stanzas, certain numbers are said to constitute different kinds of necklaces on account of the symmetrical arrangement of similar figures which is readily noticeable in relation to them.