solvableadj.

/ˈsɒlvəb(ə)l/

Forms: Also 1600s solvible, solveable.

Etymology: < solve v. + -able suffix, or < French solvable.

†1. Able to pay; solvent. Obsolete.

ΘΚΠ

society > trade and finance > management of money > solvency > [adjective]

afloat1538

straight1613

solvable1647

solvent1653

solvendoa1684

clear1712

holding company1906

self-financing1913

1647 T. Fuller Good Thoughts in Worse Times To Rdr. sig. A6 Many sufficient Merchants though not Soluable from the present make use of the latter [method].

1655 T. Fuller Church-hist. Brit. ix. 131 Although imprisonment was imposed by law on persons not solvable.

1672 W. Wycherley Love in Wood iii. iv Widows are commonly so wise as to be sure their men are solvable before they trust 'em.

1774 Ann. Reg. 1773 69 He immediately called an assembly of the deputies of the bank, from whom he obtained their consent to assist all the solvable houses.

†2. Payable. Obsolete. rare.

ΘΚΠ

society > trade and finance > payment > [adjective] > payable

solvable1655

payable1692

dischargeable1781

defrayable1886

1655 T. Fuller Church-hist. Brit. vi. 326 Some of those Corrodies..was solvable out of the Exchequer.

a. Capable of being solved.

ΘΚΠ

the mind > attention and judgement > answer > [adjective] > capable of being solved or answered

answerable1565

extricable1623

solvablea1676

solublec1705

resolvible1816

a1676 M. Hale Primitive Originat. Mankind (1677) i. ii. 56 I do not inquire how or where, because it is not solvible.

1681 S. Colvil Mock Poem (1751) 48 Solve several questions he can, Scarce solvable by any man.

1710 Brit. Apollo 10–12 Apr. You can answer all Questions solvable or not.

1785 B. Franklin Let. 28 Aug. in Trans. Amer. Philos. Soc. (1786) 2 20 I have rarely met with a case of a smoky chimney, which has not been solvable on these principles.

1879 R. A. Proctor Pleasant Ways Sci. iii. 56 The problem of determining the sun's distance..had seemed fairly solvable in but one or two ways.

1896 A. Cayley Coll. Math. Papers XI. 402 A solvable case of the quintic equation.

b. Mathematics. Of a group: that may be regarded as the last of a finite series of groups of which the first is trivial, each being a normal subgroup of the next and each of the quotients being Abelian.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > in abstract algebra > of groups

reducible1585

transitive1861

primitive1888

simple1888

special1888

cyclic1889

intransitive1889

solvable1892

finite1893

perfect1898

Abelian1900

soluble1902

proper1906

trivial1915

equivalent1948

hypercyclic1968

sporadic1968

1892 E. Netto Theory of Substitutions xiv. 267 We may carry over the expressions ‘transitive’, ‘primitive’ and ‘non-primitive’, ‘simple’ and ‘compound’ from the group to the equation... Conversely, we apply the term ‘solvable’, which is taken from the theory of equations, also to groups, and speak of solvable groups as those whose equations are solvable.

1898 Amer. Jrnl. Math. 20 277 The necessary and sufficient condition that a group is solvable is that its α^th derivative (derived group) is unity.

1929 Amer. Jrnl. Math. 51 494 The total number of groups of order 72 is 50. Each of these groups is obviously solvable.

1971 D. Gorenstein in M. B. Powell & G. Higman Finite Simple Groups ii. 66 The celebrated Feit-Thompson theorem that groups of odd order are solvable implies that every nonabelian simple group has even order.

1982 Sci. Amer. Apr. 120/3 An equation is solvable by radicals if and only if the Galois group of the equation is a solvable group.

4. Capable of being dissolved. Also absol.

ΘΚΠ

the world > matter > liquid > making or becoming liquid > action or process of dissolving > [adjective] > soluble

solublec1400

dissoluble1651

dissolvable1653

liquable1658

solvable1669

1669 W. Simpson Hydrologia Chymica 13 The solvent and solvable are both one.

1794 G. Adams Lect. Nat. & Exper. Philos. I. x. 453 From being insoluble in water, it is now not only solvible therein, but so greedy of moisture as [etc.].

5. Capable of being resolved into something.

ΘΚΠ

the mind > mental capacity > intelligibility > meaning > explanation, exposition > [adjective] > capable of explanation

explicable1545

explainable1610

illustrable1658

accountable1665

solvablea1845

illustratable1850

expoundable1887

a1845 S. Smith Elem. Sketches Moral Philos. (1850) 368 The love of knowledge is solvable into some other passion at its origin.

Derivatives

ˈsolvableness n.

ΚΠ

1727 N. Bailey Universal Etymol. Eng. Dict. II Solvableness, ability to pay.

This entry has not yet been fully updated (first published 1913; most recently modified version published online June 2021).

单词	solvable
释义	solvableadj. /ˈsɒlvəb(ə)l/ Forms: Also 1600s solvible, solveable. Etymology: < solve v. + -able suffix, or < French solvable. †1. Able to pay; solvent. Obsolete. ΘΚΠ society > trade and finance > management of money > solvency > [adjective] afloat1538 straight1613 solvable1647 solvent1653 solvendoa1684 clear1712 holding company1906 self-financing1913 1647 T. Fuller Good Thoughts in Worse Times To Rdr. sig. A6 Many sufficient Merchants though not Soluable from the present make use of the latter [method]. 1655 T. Fuller Church-hist. Brit. ix. 131 Although imprisonment was imposed by law on persons not solvable. 1672 W. Wycherley Love in Wood iii. iv Widows are commonly so wise as to be sure their men are solvable before they trust 'em. 1774 Ann. Reg. 1773 69 He immediately called an assembly of the deputies of the bank, from whom he obtained their consent to assist all the solvable houses. †2. Payable. Obsolete. rare. ΘΚΠ society > trade and finance > payment > [adjective] > payable solvable1655 payable1692 dischargeable1781 defrayable1886 1655 T. Fuller Church-hist. Brit. vi. 326 Some of those Corrodies..was solvable out of the Exchequer. 3. a. Capable of being solved. ΘΚΠ the mind > attention and judgement > answer > [adjective] > capable of being solved or answered answerable1565 extricable1623 solvablea1676 solublec1705 resolvible1816 a1676 M. Hale Primitive Originat. Mankind (1677) i. ii. 56 I do not inquire how or where, because it is not solvible. 1681 S. Colvil Mock Poem (1751) 48 Solve several questions he can, Scarce solvable by any man. 1710 Brit. Apollo 10–12 Apr. You can answer all Questions solvable or not. 1785 B. Franklin Let. 28 Aug. in Trans. Amer. Philos. Soc. (1786) 2 20 I have rarely met with a case of a smoky chimney, which has not been solvable on these principles. 1879 R. A. Proctor Pleasant Ways Sci. iii. 56 The problem of determining the sun's distance..had seemed fairly solvable in but one or two ways. 1896 A. Cayley Coll. Math. Papers XI. 402 A solvable case of the quintic equation. b. Mathematics. Of a group: that may be regarded as the last of a finite series of groups of which the first is trivial, each being a normal subgroup of the next and each of the quotients being Abelian. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > in abstract algebra > of groups reducible1585 transitive1861 primitive1888 simple1888 special1888 cyclic1889 intransitive1889 solvable1892 finite1893 perfect1898 Abelian1900 soluble1902 proper1906 trivial1915 equivalent1948 hypercyclic1968 sporadic1968 1892 E. Netto Theory of Substitutions xiv. 267 We may carry over the expressions ‘transitive’, ‘primitive’ and ‘non-primitive’, ‘simple’ and ‘compound’ from the group to the equation... Conversely, we apply the term ‘solvable’, which is taken from the theory of equations, also to groups, and speak of solvable groups as those whose equations are solvable. 1898 Amer. Jrnl. Math. 20 277 The necessary and sufficient condition that a group is solvable is that its α^th derivative (derived group) is unity. 1929 Amer. Jrnl. Math. 51 494 The total number of groups of order 72 is 50. Each of these groups is obviously solvable. 1971 D. Gorenstein in M. B. Powell & G. Higman Finite Simple Groups ii. 66 The celebrated Feit-Thompson theorem that groups of odd order are solvable implies that every nonabelian simple group has even order. 1982 Sci. Amer. Apr. 120/3 An equation is solvable by radicals if and only if the Galois group of the equation is a solvable group. 4. Capable of being dissolved. Also absol. ΘΚΠ the world > matter > liquid > making or becoming liquid > action or process of dissolving > [adjective] > soluble solublec1400 dissoluble1651 dissolvable1653 liquable1658 solvable1669 1669 W. Simpson Hydrologia Chymica 13 The solvent and solvable are both one. 1794 G. Adams Lect. Nat. & Exper. Philos. I. x. 453 From being insoluble in water, it is now not only solvible therein, but so greedy of moisture as [etc.]. 5. Capable of being resolved into something. ΘΚΠ the mind > mental capacity > intelligibility > meaning > explanation, exposition > [adjective] > capable of explanation explicable1545 explainable1610 illustrable1658 accountable1665 solvablea1845 illustratable1850 expoundable1887 a1845 S. Smith Elem. Sketches Moral Philos. (1850) 368 The love of knowledge is solvable into some other passion at its origin. Derivatives ˈsolvableness n. ΚΠ 1727 N. Bailey Universal Etymol. Eng. Dict. II Solvableness, ability to pay. This entry has not yet been fully updated (first published 1913; most recently modified version published online June 2021). < adj.1647
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