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Diophantine :: Diophantine (a.) Originated or taught by Diophantus, the Greek writer on algebra..

Algebraic :: Algebraic (a.) Alt. of Algebraica.

Algebra :: Algebra (n.) A treatise on this science.

Algebraical :: Algebraical (a.) Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings..

Soluble :: Soluble (a.) Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble..

Unicursal :: Unicursal (a.) That can be passed over in a single course; -- said of a curve when the coordinates of the point on the curve can be expressed as rational algebraic functions of a single parameter /.

Cardioid :: Cardioid (n.) An algebraic curve, so called from its resemblance to a heart..

Algebraically :: Algebraically (adv.) By algebraic process.

Notation :: Notation (n.) Any particular system of characters, symbols, or abbreviated expressions used in art or science, to express briefly technical facts, quantities, etc. Esp., the system of figures, letters, and signs used in arithmetic and algebra to express number, quantity, or operations..

Zetetics :: Zetetics (a.) A branch of algebra which relates to the direct search for unknown quantities.

Algebra :: Algebra (n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.

Equation :: Equation (n.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc..

Application :: Application (n.) Hence, in specific uses: (a) That part of a sermon or discourse in which the principles before laid down and illustrated are applied to practical uses; the moral of a fable. (b) The use of the principles of one science for the purpose of enlarging or perfecting another; as, the application of algebra to geometry..

Develop :: Develop (v. t.) To change the form of, as of an algebraic expression, by executing certain indicated operations without changing the value..

Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation..

Transform :: Transform (v. t.) To change, as an algebraic expression or geometrical figure, into another from without altering its value..

Algebraize :: Algebraize (v. t.) To perform by algebra; to reduce to algebraic form.

Problem :: Problem (n.) Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity..

Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.

Quadrable :: Quadrable (a.) That may be sqyared, or reduced to an equivalent square; -- said of a surface when the area limited by a curve can be exactly found, and expressed in a finite number of algebraic terms..

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