पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)
Patiganita of Sridharacharya with Commentary
श्रीधराचार्य (सम्पादक: प्रो. कृपाशंकर शुक्ल) द्वारा
पृष्ठ 265, कुल 337 में से
संदर्भ में पढ़ें26 LOGISTICS
manner) and multiplied the numbers (so obtained on either
side), divide the side with larger number of quantities (nume-
rators) by the other.¹
The two sides referred to in this rule are known as (i) the argument
side (pramāṇarāśi-pakṣa) and (ii) the requisition side (icchārāśi-pakṣa). In
Ex. 40, for instance, these sides are as follows :
(i) argument side ⎧ 100½ or 201/2
⎨ ⅓
⎩ 1½ or 3/2
(ii) requisition side ⎧ 60¼ or 241/4
⎩ 8 - ½ or 15/2
These are written as
(i) (ii)
┌────────────┬────────────┐
│ 201 │ 241 │
│ 2 │ 4 │
│ │ │
│ 1 │ 15 │
│ 3 │ 2 │
│ │ │
│ 3 │ 0 │
│ 2 │ │
└────────────┴────────────┘
0 being written in place of the desired quantity (unknown).
Then the rule is applied as follows :
Transposing the fruit, we get
(i) (ii)
┌────────────┬────────────┐
│ 201 │ 241 │
│ 2 │ 4 │
│ │ │
│ 1 │ 15 │
│ 3 │ 2 │
│ │ │
│ 0 │ 3 │
│ │ 2 │
└────────────┴────────────┘
─────────────────────────────────────────────────────────────────────────────
¹ Cf. BrSpSi, xii. 11(ii)-12 ; GSS, v. 32 ; MSi, xv. 26, 27 ; GT, p. 74,
vs. 97 ; SiŚe, xiii, 15; L (ASS), pp. 76-77, vs. 82 ; GK, I, p. 50, vs. 62.