Part 6041

<i>Dryden.</i>

<h1>Inveracity</h1> <Xpage=785>

<hw>In`ve*rac"i*ty</hw> <tt>(?)</tt>, <tt>n.</tt> <def>Want of veracity.</def>

<h1>Inverisimilitude</h1> <Xpage=785>

<hw>In*ver`i*si*mil"i*tude</hw> <tt>(?)</tt>, <tt>n.</tt> <def>Want of verisimilitude or likelihood; improbability.</def>

<h1>Inverse</h1> <Xpage=785>

<hw>In*verse"</hw> <tt>(?)</tt>, <tt>a.</tt> <ety>[L. <ets>inversus</ets>, p. p. of <ets>invertere</ets>: cf. F. <ets>inverse</ets>. See <er>Invert</er>.]</ety>

<p><b>1.</b> <def>Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to <i>direct</i>.</def>

<p><b>2.</b> <fld>(Bot.)</fld> <def>Inverted; having a position or mode of attachment the reverse of that which is usual.</def>

<p><b>3.</b> <fld>(Math.)</fld> <def>Opposite in nature and effect; -- said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; <as>as, multiplication is the <ex>inverse</ex> operation to division</as>. The symbol of an inverse operation is the symbol of the direct operation with <sps>-1</sps> as an index. Thus <funct><it>sin</it><sps>-1</sps> <it>x</it></funct> means the arc whose sine is <it>x</it>.</def>

<cs><col>Inverse figures</col> <fld>(Geom.)</fld>, <cd>two figures, such that each point of either figure is inverse to a corresponding point in the order figure.</cd> -- <col>Inverse points</col> <fld>(Geom.)</fld>, <cd>two points lying on a line drawn from the center of a fixed circle or sphere, and so related that the product of their distances from the center of the circle or sphere is equal to the square of the radius.</cd> -- <mcol><col>Inverse</col>, &or; <col>Reciprocal</col>, <col>ratio</col></mcol> <fld>(Math.)</fld>, <cd>the ratio of the reciprocals of two quantities.</cd> -- <mcol><col>Inverse</col>, &or; <col>Reciprocal,</col> <col>proportion</col></mcol>, <cd>an equality between a direct ratio and a reciprocal ratio; thus, <mathex>4 : 2 : : <frac13/ : <frac16/</mathex>, or 4 : 2 : : 3 : 6, <i>inversely<i>.</cd></cs>

<h1>Inverse</h1> <Xpage=785>

<hw>In"verse</hw>, <tt>n.</tt> <def>That which is inverse.</def>

<blockquote>Thus the course of human study is the <b>inverse</b> of the course of things in nature. <i>Tatham.</i></blockquote>

<h1>Inversely</h1> <Xpage=785>

<hw>In*verse"ly</hw> <tt>(?)</tt>, <tt>adv.</tt> <def>In an inverse order or manner; by inversion; -- opposed to <i>directly</i>.</def>

<cs><col>Inversely proportional</col>. <cd>See <cref>Directly proportional</cref>, under <er>Directly</er>, and <er>Inversion</er>, 4.</cd></cs>

<h1>Inversion</h1> <Xpage=785>

<hw>In*ver"sion</hw> <tt>(?)</tt>, <tt>n.</tt> <ety>[L. <ets>inversio</ets>: cf. F. <ets>inversion</ets>. See <er>Invert</er>.]</ety>

<p><b>1.</b> <def>The act of inverting, or turning over or backward, or the state of being inverted.</def>

<p><b>2.</b> <def>A change by inverted order; a reversed position or arrangement of things; transposition.</def>

<blockquote>It is just the <b>inversion</b> of an act of Parliament; your lordship first signed it, and then it was passed among the Lords and Commons. <i>Dryden.</i></blockquote>

<p><b>3.</b> <fld>(Mil.)</fld> <def>A movement in tactics by which the order of companies in line is inverted, the right being on the left, the left on the right, and so on.</def>

<p><b>4.</b> <fld>(Math.)</fld> <def>A change in the order of the terms of a proportion, so that the second takes the place of the first, and the fourth of the third.</def>

<p><b>5.</b> <fld>(Geom.)</fld> <def>A peculiar method of transformation, in which a figure is replaced by its inverse figure. Propositions that are true for the original figure thus furnish new propositions that are true in the inverse figure. See <cref>Inverse figures</cref>, under <er>Inverse</er>.</def>

<p><b>6.</b> <fld>(Gram.)</fld> <def>A change of the usual order of words or phrases; <as>as, "of all vices, impurity is one of the most detestable," instead of, "impurity is one of the most detestable of all vices</as>."</def>

<p><b>7.</b> <fld>(Rhet.)</fld> <def>A method of reasoning in which the orator shows that arguments advanced by his adversary in opposition to him are really favorable to his cause.</def>

<p><b>8.</b> <fld>(Mus.)</fld> <sd>(a)</sd> <def>Said of <i>intervals</i>, when the lower tone is placed an octave higher, so that fifths become fourths, thirds sixths, etc.</def> <sd>(b)</sd> <def>Said of a <i>chord</i>, when one of its notes, other than its root, is made the bass.</def> <sd>(c)</sd> <def>Said of a <i>subject</i>, or phrase, when the intervals of which it consists are repeated in the contrary direction, rising instead of falling, or vice versa.</def> <sd>(d)</sd> <def>Said of <i>double counterpoint</i>, when an upper and a lower part change places.</def>