Page:Algebra, with Arithmetic and mensuration, from the Sanscrit.djvu/98

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2
I'LA'VATI'
Chapter I.

[Weights.]

3. A gunja[1] (or seed of Abrus) is reckoned ccjual to two barley-corns ; a valla, to two gunjas; and eight of those are d'harania ; two of which make a gadyáńaca. In like manner one d'hátaca is composed of fourteen vallas.

4. Half ten gunjas are called a másha,[2] by such as are conversant with the use of the balance : a carsha contains sixteen of what are termed máshas; a pala, four carshas. A carsha of gold is named suverńa.

[Measures.]

5—6. Eight breadths of a barley-corn[3] are here a finger ; four times six fingers, a cubit;[4] four cubits, a staff;[5] and a cross contains two thousand of these ; and a yójana, four crósas.

So a bambu pole consists of ten cubits ; and a field (or plane figure) bounded by four sides, measuring twenty bambu poles, is a nivartana.[6]

7, A cube,[7] which in length, breadth and thickness measures a cubit, is termed a solid cubit : and, in the meting of com and the like, a measure.

  1. A seed of Abrus precatorius : black or red ; the one called críshnala; the other racti, recticá or ratticá; whence Hind. ratti.
  2. Physicians reckon seven gunjas to the másha; lawyers, seven and a half. The same weight is intended ; and the difference of description arises only from counting by heavier or lighter seeds of Abrus : in like manner as the earth is the same, whether rated at 3300 yójanas; or, with the Śirómani, 4967 ; or, according to others, 6522. Gań.
  3. Eight barley-corns (yava) by breadth, or three grains of rice by length, a,K equal to one finger (angula). Gań.
  4. Hasta, cara and synonyma of hand or fore arm. According to the commentator Gan'e's'a, this intends the practical cubit as received by artisans, and vulgarly called gaj [or gaz]. It is nearer to the yard than to the true cubit : but the commentator seems to have no sufficient ground for so enlarging the cubit.
  5. Dan'da, a staff: directed to be cut nearly of man's height. Menu, 2. 46,
  6. A superficial measure or area containing 400 square poles. Sur.
  7. Dwádaśári, lit. dodecagon, but meaning a parallelopipedon ; the term asra, corner or angle, being here applied to the edge or line of incidence of two planes. See Chaturvéda on Brahmeoupta, §6.