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Originated or taught by Diophantus, the Greek writer on algebra. Diophantine analysis (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x2 + y2 an exact s…

That which is educed, as by analysis. Sir W. Hamilton.

tracted by an electro-positive body, or a tendency to pass to the positive pole in electrolysis, by the law that opposite electricities attract each other.

ssociated body or bodies, as to tend to the negative pole of a voltaic battery, in electrolysis, while the associated body tends to the positive pole; - - the converse or correlative of electro-negative.

Pertaining to electrolysis; as, electrolytic action. -- E*lec`tro*lyt"ic*al*ly, adv.

ate or cover with a coating of metal, usually silver, nickel, or gold, by means of electrolysis.

vessel by an embolus. Embolism in the brain often produces sudden unconsciousness and paralysis.

A method of analysis developed by Newton, and based on the conception of all magnitudes as generated by motion, and involving in their changes the notion of velocity or rate of change. Its results are the same as those of the differential and integral calculus, from which it differs little except in notation and logica…

Of or pertaining to the measurement of gases; as, gasometric analysis.

tise on this science. Analytical, or Coördinate, geometry, that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes. -- Descriptive geometry, that part of geometry which treats of the graphic solution of all problems involving…

temperature of one gram of pure water one degree centigrade. -- Gram equivalent (Electrolysis), that quantity of the metal which will replace one gram of hydrogen.

. -- Graphic granite. See under Granite. -- Graphic method, the method of scientific analysis or investigation, in which the relations or laws involved in tabular numbers are represented to the eye by means of curves or other figures; as the daily changes of weather by means of curves, the abscissas of which represen…

measurement by weight; measured by weight. -- Grav"i*met"ric*al*ly, adv. Gravimetric analysis (Chem.), analysis in which the amounts of the coastituents are determined by weight; -- in distinction from volumetric analysis.

ood corpuscles, as by pressure, in distinction from solution of the corpuscles, or hæmcytolysis.

ion. -- Harmonic series or progression. See under Progression. -- Spherical harmonic analysis, a mathematical method, sometimes referred to as that of Laplace's Coefficients, which has for its object the expression of an arbitrary, periodic function of two independent variables, in the proper form for a large class o…

The formation and development of organic tissues; histogeny; -- the opposite of histolysis.

Of or pertaining to histolysis, or the degeneration of tissues.

d; indefinite; not precise; as, an indeterminate number of years. Paley. Indeterminate analysis (Math.), that branch of analysis which has for its object the solution of indeterminate problems. -- Indeterminate coefficients (Math.), coefficients arbitrarily assumed for convenience of calculation, or to facilitate some…

ausing an appearance, disappearance, or change of color, as in titration or volumetric analysis.

An instrument for ascertaining the strength of an indigo solution, as in volumetric analysis. Ure.