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haped like a snail shell; pertaining to the Helicidæ, or Snail family. Helicoid parabola (Math.), the parabolic spiral.

Spiral. Helispherical line (Math.). the rhomb line in navigation. [R.]

, neuter in the singular; hi cæli, masculine in the plural. -- Heterogeneous quantities (Math.), such quantities as are incapable of being compared together in respect to magnitude, and surfaces and solids. -- Heterogeneous surds (Math.), surds having different radical signs.

Relating to that kind of homology or symmetry, the mathematical conception of organic form, in which all axes are equal. See under Promorphology.

ich treats of the laws of motion and action of nonelastic fluids, whether as investigated mathematically, or by observation and experiment; the principles of dynamics, as applied to water and other fluids.

s, an hyperbolical expression. "This hyperbolical epitaph." Fuller. Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc. -- Hyperbolic logarithm…

. A suffix used in forming the names of certain sciences, systems, etc., as acoustics, mathematics, dynamics, statistics, politics, athletics.

l (Mus.), one a semitone less than perfect; as, an imperfect fifth. -- Imperfect number (Math.), a number either greater or less than the sum of its several divisors; in the former case, it is called also a defective number; in the latter, an abundant number. -- Imperfect obligations (Law), obligations as of charity…

ence; implicit obedience. Back again to implicit faith I fall. Donne. Implicit function. (Math.) See under Function.

. xix. 26. Without faith it is impossible to please him. Heb. xi. 6. Impossible quantity (Math.), an imagnary quantity. See Imaginary.

y full; to show more of the surface; to wax; as, the moon increases. Increasing function (Math.), a function whose value increases when that of the variable increases, and decreases when the latter is diminished.

gs are of good report, . . . think on these things. Phil. iv. 8. Infinitesimal increment (Math.), an infinitesimally small variation considered in Differential Calculus. See Calculus. -- Method of increments (Math.), a calculus founded on the properties of the successive values of variable quantities and their differe…

f wheels, springs, etc., for timing to a fraction of a second. -- Independent variable. (Math.) See Dependent variable, under Dependent.

finite; 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 artifi…

[In this sense the plural is always indices.] Index error, the error in the reading of a mathematical instrument arising from the zero of the index not being in complete adjustment with that of the limb, or with its theoretically perfect position in the instrument; a correction to be applied to the instrument readings…

Capable of being inscribed, -- used specif. (Math.) of solids or plane figures capable of being inscribed in other solids or figures.

s, those errors in instrumental measurements, etc., which arise, exclusively from want of mathematical accuracy in an instrument.

luent. Elliptic integral, one of an important class of integrals, occurring in the higher mathematics; -- so called because one of the integrals expresses the length of an arc of an ellipse.

n of the soul between the death and the resurrection of the body. -- Intermediate terms (Math.), the terms of a progression or series between the first and the last (which are called the extremes); the means. -- Intermediate tie. (Arch.) Same as Intertie.

circle or sphere is equal to the square of the radius. -- Inverse, or Reciprocal, ratio (Math.), the ratio of the reciprocals of two quantities. -- Inverse, or Reciprocal, proportion, an equality between a direct ratio and a reciprocal ratio; thus, 4 : 2 : : , or 4 : 2 : : 3 : 6, inversely.