apavarta

Goldstücker Sanskrit-English Dictionary

☞ p. 176, col. 2.

apavarta Tatpur. m. (-rtaḥ) (In Algebra.) The common measure,

the divisor which is assumed for both or either of the quan-

tities, without leaving a remainder (Colebr. Brahmagupta

p. 363); e. g. utpatsyamānayaivaṃ mūlakaraṇyālpayā caturguṇayā .

yāsāmapavartaḥ syādrūpakṛtestā viśodhyāḥ syuḥ . apavartādapi

labdhā mūlakaraṇyo bhavanti tāścāpi . ‘those terms are to be

subtracted from the square of the rational number, which

are exactly measured by four times the smaller radical surd

thence to be deduced; the quotients found by that common

measure are surds in the root’. (In this passage from the

Vījagaṇita p. 18 Colebrooke (Alg. p. 153) has had however

instead of the first apavarta, the reading apavartana q. v.) E.

vṛt, in the caus., with apa, kṛt aff. ghañ.

Monier-Williams Sanskrit-English Dictionary (1st ed.)

☞ p. 52, col. 3.

apavarta apa-varta, &c. See under apa-vṛt.

☞ p. 53, col. 1.

Apa-varta, as, m. taking away; (in arithmetic

or algebra) reduction to a common measure; the

divisor, which is applied to both or either of the

quantities of an equation.

Apte Practical Sanskrit-English Dictionary

☞ p. 111, col. 3.

apavarta &c. See under apavṛ, apavṛj-apavṛt.

Monier-Williams Sanskrit-English Dictionary (2nd ed.)

☞ p. 52, col. 1.

apa-varta a &c. See apa-√ vrit.

☞ p. 52, col. 2.

apa-varta b m. (in arithm. or alg.) reduction to a common measure

☞ p. 52, col. 2.

the divisor (which is applied to both or either of the quantities of an equation).

Apte Enlarged Practical Sanskrit-English Dictionary

☞ vol. 1, p. 147.

apavarta &c. See under apavṛ, apavṛj-apavṛt.

Böhtlingk and Roth Grosses Petersburger Wörterbuch

☞ vol. 1, p. 292.

apavarta (von vart mit apa) m. Fortbringer, Abkürzer; der Divisor, der für beide oder bloss für eine Grösse einer Gleichung angewandt wird, COLEBR. Alg. 363.

Böhtlingk Sanskrit-Wörterbuch in kürzerer Fassung

☞ vol. 1, p. 73, col. 2.

apavarta m.

— 1) das zur Reduction angewandte Divisor , der grösste gemeinschaftliche Divisor zweier Grössen.

— 2) Reduction durch Division ohne Rest BĪJAG. 39. 40.