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The Collaborative International Dictionary
surfaces

Imaginary \Im*ag"i*na*ry\, a. [L. imaginarius: cf. F. imaginaire.] Existing only in imagination or fancy; not real; fancied; visionary; ideal.

Wilt thou add to all the griefs I suffer Imaginary ills and fancied tortures?
--Addison.

Imaginary calculus See under Calculus.

Imaginary expression or Imaginary quantity (Alg.), an algebraic expression which involves the impossible operation of taking the square root of a negative quantity; as, [root]-9, a + b [root]-1.

Imaginary points, lines, surfaces, etc. (Geom.), points, lines, surfaces, etc., imagined to exist, although by reason of certain changes of a figure they have in fact ceased to have a real existence.

Syn: Ideal; fanciful; chimerical; visionary; fancied; unreal; illusive.

Wiktionary
surfaces

n. (plural of surface English) vb. (en-third-person singular of: surface)

Usage examples of "surfaces".

In these deposits the outleaching removes vast amounts of the materials, but so long as the floods from time to time visit their surfaces the growth of the deposits is continued.

In an ordinary dew-making night the leaves of a single stem may gather as much as half a pint of water, which flows down their surfaces to the roots.

The moisture which these clods contain is not available to plants, and their surfaces are liable to be dried by the too free circulation of air among the wide fissures between them.

Those who have been able to observe the descent of meteoric stones from the heavens have remarked that when they came to the earth they were, on their surfaces at least, exceedingly hot.

Over the surfaces of the land within the tropical region this draught toward what we may term the equatorial chimney is perturbed by the irregularities of the surface and many local accidents.

Yet where winds blow over verdureless surfaces the effect of the sand which they sweep before them is often considerable.

The surfaces of leaves are very efficient agents of radiation, and the tangle which they make offers an amount of heat-radiating area many times as great as that afforded by a surface of bared earth.

Observing what happens where the action takes place on the surface of bare rock, we may notice that the grains of sand or small pebbles which generally abound on such surfaces, if they be not too steeply inclined, dance about under the blows which they receive.

On such surfaces the present writer has observed that a rainfall amounting to six inches in depth in two hours produced no streams whatever.

Down these inclined surfaces the particles worn off from the hard rock by frost and by chemical decay gradually work their way until they attain the bed of the stream.

In the first place, where the stream is clear and the current does not flow too swiftly, the stones on the bottom radiate their heat through the water, and thus form ice on their surfaces, which may attain considerable thickness.

Several ice blocks fell from the top of the black conning tower to the horizontal surfaces below.

Two hundred feet aft the huge control surfaces, driven by high-pressure hydraulics, went to the dive position, forcing the submarine to a down angle.

Soon the fair-water planes, the horizontal control surfaces protruding from the side of the sail, splashed the waves, then also vanished underwater.

FAIRWATER PLANES Winglike surfaces protruding from the sail of a submarine, used for depth control.