Contribution of Mahaviracharya in the

Author(s): R S Lal
Publisher: Z_Deshbhushanji_Maharaj_Abhinandan_Granth_012045.pdf

Page 7

Solution : V = 21, 4 = 3,
d= 8
then
1 = (V-a) = 2 +1
= (21-3) = q + 1 = 18 - 4+1=1
In the following stanza the rule is given for arriving at the time and distance of meeting together (when two persons start from the same place, at the same time and travel) with (varying) velocities in A. P.1
उभयोराद्योः शेषश्चयशेषहृतोद्विसङ्गुणः सैकः । युगपत्प्रयाणयोः स्यान्मार्गे तु समागमः कालः ॥
"The difference between the first two terms divided by the difference between the two common differences when multiplied by two and increased by one, gives rise to the time of coming together on the way by the two persons travelling, simultaneously (with two series of velocities varying in A. P.)"
Symbolically, if a, a, be the velocities in beginning and d, d, be their respective common differences then the time of meeting is given by
d
d2 x 2 + 1 di-dg
The same formula has been given in another stanza' too. Examples:
पंचाद्यष्टोत्तरतः प्रथमो नाथ द्वितीयनरः । आदिः पञ्चघ्ननव प्रचयो हीनोऽष्ट योगकालः कः ।।
"The first man travels with velocity beginning with 5, and increased (successively) by 8 as the common difference. In the case of the second person, the starting velocity is 45, and the common difference is minus 8. What is the time of meeting ?”
Solution :twe
5-45
e
X
2+1=
5+1 = 6.
tures me to the
In the following sutra the rule is given for arriving at the number of bricks to be found in structures made up of layers (of bricks one over the other).
तरवर्गों रूपोनस्त्रिभिविभक्तस्तरेण संगुणितः। तरसंकलिते स्वेष्टप्रताडिते मिश्रतः सारम् ।।
3221
1. GSS 2. GSS 3. GSS 4. GSS
6 6 6 6
174 175 175 176
3247 3257
3301
जन प्राच्य विद्याएं