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अपवर्त (apavarta)

 
शब्दसागरः
English
अपवर्त्त
m.
 (-र्त्तः)
1. Taking away.
2. A common measure in algebra.
E.
अप away, वृत to be, घञ्
aff.
Wilson
English
अपवर्त्त
m.
 (-र्त्तः)
1 Taking away.
2 A common measure in algebra.
E.
 अप away, वृत्त being.
Apte
English
अपवर्त [apavarta],
&c.
 See under अपवृ, अपवृज्-अपवृत्.
अपवर्तः [apavartḥ], 1 Taking away, removing.
(Math. ) The (common) divisor which is applied to both or either of the quantities of an equation.
Reduction to a common measure.
Apte 1890
English
अपवर्त &c. See under अपवृ, अपवृज्-अपवृत्.
अपवर्तः 1 Taking away, removing.
2 (Math.) The (common) divisor which is applied to both or either of the quantities of an equation.
3 Reduction to a common measure.
Monier Williams Cologne
English
अप-वर्त a
&c.
 See अप-√ व्रित्.
अप-वर्त b
m.
 (in
arithm.
 or
alg.
 ) reduction to a common measure
the divisor (which is applied to both or either of the quantities of an equation).
Monier Williams 1872
English
अपवर्त अप-वर्त, &c. See under अप-वृत्।
अप-वर्त, अस्, 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.
Goldstucker
English
अपवर्त Tatpur. m. (-र्तः) (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. उत्पत्स्यमानयैवं मूलकरण्याल्पया चतुर्गुणया ।
यासामपवर्तः स्याद्रूपकृतेस्ता विशोध्याः स्युः । अपवर्तादपि
लब्धा मूलकरण्यो भवन्ति ताश्चापि । ‘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 अपवर्त, the reading अपवर्तन q. v.) E.
वृत्, in the caus., with अप, kṛt aff. घञ्.
Apte Hindi
Hindi
अपवर्तः
पुं*
 - अप+वृत्+घञ्
"निकाल लेना, दूर करना"
अपवर्तः
पुं*
 - अप+वृत्+घञ्
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