Of equations containing only one unknown the number of roots equals the degree of the equation; thus a simple equation has one root, a quadratic two, a cubic three, and so on.
Tannery thinks that the solution of a complete quadratic promised by Diophantus himself (I.
Algebra, to quadratic equations with one unknown quantity, maxima and minima, arithmetical and geometrical progressions, logarithms and their application to questions of compound interest and annuities.
Plane and Spherical Trigonometry, Quadratic Equations, involving several unknown quantities, the Binomial Theorem, and the Elements of Analytical and Solid Geometry.
Defn: That branch of algebra which treats of quadratic equations.
Defn: Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
The three first books of Euclid, and as far as Quadratic Equations in Algebra, will save a man from being plucked.
Leonardo knew that quadratic equations might have two positive roots, and Cardan pursued this farther by the discovery that they might also have negative roots.
Fra Luca's book, Summa de Arithmetica Geometria Proportioni é Proportionalita, extends as far as the solution of quadratic equations, of which only the positive roots were used.
Estimation of the proportion of nucleated red to white corpuscles by means of the quadratic ocular diaphragm (see page 31) in the dry preparation.
It crystallizes in quadratic prisms and has a bitter taste.
The principle underlying this expression is probably to be found in the fact that it measured the limits of their attainments in algebra, for they were unable to solve equations of a higher degree than the quadratic or square.
Henry Thomas Colebrooke, one of the earliest modern investigators of Hindu science, presumes that the treatise of Aryabhatta extended to determinate quadratic equations, indeterminate equations of the first degree, and probably of the second.
It includes the properties of numbers; extraction of roots of arithmetical and algebraical quantities, solutions of simple and quadratic equations, and a fairly complete account of surds.
In Three Parts, carrying the pupil as far as Quadratic Equations.
The Elements of Algebra," including Quadratic Equations and Fractions.
In algebra, he gave the solutions of a number of quadratic equations; answered questions which contained two unknown quantities; and applied algebra to geometry.
She now began to read Euclid's Elements, and proceeded in algebra as far as quadratic equations.
This problem in quadratic equations is a terror," the girl at the desk suddenly remarked, her finger pointing to a row of algebraic symbols on the paper she was still clutching.
What does matter is this--I must ask you to tell me exactly why you wished me to work out that quadratic problem for you.
The tetrahedral or Reye complex is the simplest and best known of proper quadratic complexes.
By means of formulae connecting the number of singular points and their orders with the class m of quadratic congruence Kummer proved that the class cannot exceed seven.
Further particulars regarding quadratic congruences will be found in Kummer's memoir of 1866, and the second volume of Sturm's treatise.
The singular surface of the general quadratic complex is the famous quartic, with sixteen nodes and sixteen singular tangent planes, first discovered by E.
An advantage gained was that everyquadratic equation, and not some quadratics only, could be spoken of as having two roots.
The properties of quadratic congruences having singular lines, i.
The next three propositions contain problems which may be said to be solutions of quadratic equations.
Hence the quadratic has three roots; consequently it is an identity.
To facilitate the discussion of the general quadratic complex we introduce Klein's canonical form.
The simplest possible case is, therefore, that in which ds is the square root of a quadratic function of the dx.
These two groups, which are of fundamental importance in the theory of quadratic forms and in the theory of modular functions, have been the object of very many investigations.
To form the quadratic equation when the roots are given.
Define a quadratic equation; a pure quadratic; an affected (or complete) quadratic; an equation in thequadratic form.
Reference:~ The chapter on Quadratic Equations in any algebra (first part of the chapter).
Review equations in the quadratic form and solve: 2.
Reference:~ The last part of the chapter on Quadratic Equations in any algebra.
It means that one tries to correct work, but has to interrupt oneself all the time in order to help boys over ridiculous points about cisterns and pipes, quadratic graphs or a line in Homer.
From nine to one I taught, speaking all the time, trying my hardest to concentrate on quadraticequations and Army English.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "quadratic" in a variety of sentences. We hope that you will now be able to make sentences using this word. Other words: foursquare; quadrate; square
