sexagesimaladj.n.

Brit.

/ˌsɛksəˈdʒɛsᵻml/, U.S.

/ˌsɛksəˈdʒɛsəm(ə)l/

Forms: 1600s– sexagesimal, 1700s 1900s– sexagessimal.

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin sexāgēsimus , -al suffix¹.

Etymology: < classical Latin sexāgēsimus sixtieth (see Sexagesima n.) + -al suffix¹. Compare post-classical Latin sexagesimalis Sexagesima (11th cent. in Dominica sexagesimalis Sexagesima Sunday), also designating a number system based on 60, and (as noun) in sense ‘sexagesimal number’ (both 1647 in the source of quots. 1647 at sense A. and 1647 at sense B.). Compare earlier quadragesimal n. Compare also earlier sexagenary adj.

A. adj.

Proceeding by sixties; spec. designating a number system based on the number 60 rather than the usual 10; relating to or involving such a system (= sextal adj.). Also: involving or based on division into sixty equal parts (as seconds and minutes).

ΘΚΠ

the world > relative properties > number > specific numbers > eleven to ninety-nine > [adjective] > sixty > proceeding by sixties

sexagenary1594

sexagesimal1647

sexagecuple1708

sexagenal1876

1647 R. Wood tr. W. Oughtred Key Math. vi. 21 If there be more Sexagesimal species [L. species Sexagesimales] joyned to Integers, suppose 127° 32′ 00″ 09‴ 45^iv.

1728 E. Chambers Cycl. Sexagesimal, or Sexagenary Arithmetic, a Method of Computation, proceeding by Sixties.

1785 C. Hutton Math. Tables 1 The sexagesimal division both of the radius and of the parts [of every circle].

a1831 Encycl. Metrop. (1845) I. 439/2 Stifelius ventured to simplify the sexagesimal notation.

1876 E. E. Frewer tr. J. Verne Adventures Three Englishmen iv. 36 The length of the pendulum that beats the sexagesimal second.

1887 Proc. Amer. Philos. Soc. 24 126 Although the sexagesimal arithmetic is commonly ascribed to Ptolemy, it is probably an Eastern invention.

1951 W. W. Elliott & E. R. C. Miles College Math. (ed. 2) xii. 167 The system of angular measurement most generally used in computations is the sexagesimal system.

2005 Isis 96 426/1 The Parisian Tables, which first appeared in Paris around 1321, offer..tropical mean motions in sexagesimal days.

B. n.

A sexagesimal fraction or number. Usually in plural.

ΘΚΠ

the world > relative properties > number > ratio or proportion > fraction > [noun] > sexagesimal

sexagesimal1647

sexagenary1668

sexagesimal fraction?1683

1647 R. Wood tr. W. Oughtred Key Math. vi. 21 The conversion of Sexagesimal into Decimals, and contrariwise of Decimal parts into Sexagesimals .

1706 W. Jones Synopsis Palmariorum Matheseos 93 By this Proposition, Fractions are reduced..into Decimals, Sexagessimals &c.

1873 Rep. Brit. Assoc. i. 25 The table is prepared as if for three places of sexagesimals.

1907 Athenæum 9 Nov. 589/1 The Elamites appear also to have used a decimal system of notation instead of the Babylonian sexagesimals.

1972 M. Kline Math. Thought i. 8 Irrationals cannot be expressed in a finite number of decimals or sexagesimals.

Compounds

sexagesimal fraction n. a fraction whose denominator is 60 or a power of 60.

ΘΚΠ

the world > relative properties > number > ratio or proportion > fraction > [noun] > sexagesimal

sexagesimal1647

sexagenary1668

sexagesimal fraction?1683

?1683 Proposal printing Treat. Algebra by J. Wallis (R. Davis, Printer) 1 The Sexagesimal Fractions (introduced it seems by Ptolomy) did but imperfectly supply the want of such a Method of Numeral Figures.

1749 S. Lowe Arithm. in Two Parts 72 Thus it is..that Sexagesimal fractions..are reduc'd to decimal.

1858 Catal. MSS. Univ. Libr. Cambr. III. 61 A table of the square roots of numbers from 1 to 102, calculated to three places of sexagesimal fractions.

1998 D. Bellos et al. tr. G. Ifrah Universal Hist. Numbers (2000) I. xiii. 299 The double oblique wedge or chevron in initial position also allowed Babylonian astronomers to represent sexagesimal fractions unambiguously.

sexagesimal table n. a table used as an aid in calculating products and quotients of sexagesimal numbers; = sexagenary table n. at sexagenary adj. and n. Compounds.

ΘΚΠ

the world > relative properties > number > mathematical instruments > [noun] > table

compute manual1483

tariff1591

sexagenary table1594

table of multiplication1594

long measure1623

scale of numbers1630

Rudolphine Tables1635

multiplication table1657

chiliad1675

sexagesimal table1685

nautical card1700

pence table1706

numeration tablea1743

tablebook1755

ready reckoner1757

calculator1784

tables1828

times table1902

log tablec1935

1685 J. Wallis Treat. Algebra vii. 20 The Sexagesimal Tables of Multiplication.

1780 M. Taylor (title) A sexagesimal table, exhibiting, at sight, the result of any proportion, where the terms do not exceed sixty minutes.

1947 Math. Tables & Other Aids Computation 2 298 This table..is a twelve-place sexagesimal table of sines and cosines.

Derivatives

ˌsexaˈgesimally adv. into sixtieths.

ΘΚΠ

the world > relative properties > number > specific numbers > eleven to ninety-nine > [adverb] > in to sixtieths

sexagesimally1760

1760 R. Heath Astronomia Accurata 14 (heading) Examples of proportioning the differences of æquations... By table... Decimally... Sexagesimally.

1888 Encycl. Brit. XXIV. 489/1 The talent of the 80 grain system was sexagesimally divided.

1900 Notes & Queries 5 290/1 There is no utility, only needless complexity, in dividing 1° of arc sexagesimally.

1952 Osiris 10 254 I shall be more consistent and shall ordinarily write numbers sexagesimally, integers and fractions alike.

2001 M. Lewis Surv. Instruments Greece & Rome xii. 253 Al-Karaji says the staves were 6 spans (3 cubits) long, and recommends dividing them sexagesimally.

This entry has been updated (OED Third Edition, December 2008; most recently modified version published online March 2022).

单词	sexagesimal
释义	sexagesimaladj.n. Brit. /ˌsɛksəˈdʒɛsᵻml/, U.S. /ˌsɛksəˈdʒɛsəm(ə)l/ Forms: 1600s– sexagesimal, 1700s 1900s– sexagessimal. Origin: A borrowing from Latin, combined with an English element. Etymons: Latin sexāgēsimus , -al suffix¹. Etymology: < classical Latin sexāgēsimus sixtieth (see Sexagesima n.) + -al suffix¹. Compare post-classical Latin sexagesimalis Sexagesima (11th cent. in Dominica sexagesimalis Sexagesima Sunday), also designating a number system based on 60, and (as noun) in sense ‘sexagesimal number’ (both 1647 in the source of quots. 1647 at sense A. and 1647 at sense B.). Compare earlier quadragesimal n. Compare also earlier sexagenary adj. A. adj. Proceeding by sixties; spec. designating a number system based on the number 60 rather than the usual 10; relating to or involving such a system (= sextal adj.). Also: involving or based on division into sixty equal parts (as seconds and minutes). ΘΚΠ the world > relative properties > number > specific numbers > eleven to ninety-nine > [adjective] > sixty > proceeding by sixties sexagenary1594 sexagesimal1647 sexagecuple1708 sexagenal1876 1647 R. Wood tr. W. Oughtred Key Math. vi. 21 If there be more Sexagesimal species [L. species Sexagesimales] joyned to Integers, suppose 127° 32′ 00″ 09‴ 45^iv. 1728 E. Chambers Cycl. Sexagesimal, or Sexagenary Arithmetic, a Method of Computation, proceeding by Sixties. 1785 C. Hutton Math. Tables 1 The sexagesimal division both of the radius and of the parts [of every circle]. a1831 Encycl. Metrop. (1845) I. 439/2 Stifelius ventured to simplify the sexagesimal notation. 1876 E. E. Frewer tr. J. Verne Adventures Three Englishmen iv. 36 The length of the pendulum that beats the sexagesimal second. 1887 Proc. Amer. Philos. Soc. 24 126 Although the sexagesimal arithmetic is commonly ascribed to Ptolemy, it is probably an Eastern invention. 1951 W. W. Elliott & E. R. C. Miles College Math. (ed. 2) xii. 167 The system of angular measurement most generally used in computations is the sexagesimal system. 2005 Isis 96 426/1 The Parisian Tables, which first appeared in Paris around 1321, offer..tropical mean motions in sexagesimal days. B. n. A sexagesimal fraction or number. Usually in plural. ΘΚΠ the world > relative properties > number > ratio or proportion > fraction > [noun] > sexagesimal sexagesimal1647 sexagenary1668 sexagesimal fraction?1683 1647 R. Wood tr. W. Oughtred Key Math. vi. 21 The conversion of Sexagesimal into Decimals, and contrariwise of Decimal parts into Sexagesimals . 1706 W. Jones Synopsis Palmariorum Matheseos 93 By this Proposition, Fractions are reduced..into Decimals, Sexagessimals &c. 1873 Rep. Brit. Assoc. i. 25 The table is prepared as if for three places of sexagesimals. 1907 Athenæum 9 Nov. 589/1 The Elamites appear also to have used a decimal system of notation instead of the Babylonian sexagesimals. 1972 M. Kline Math. Thought i. 8 Irrationals cannot be expressed in a finite number of decimals or sexagesimals. Compounds sexagesimal fraction n. a fraction whose denominator is 60 or a power of 60. ΘΚΠ the world > relative properties > number > ratio or proportion > fraction > [noun] > sexagesimal sexagesimal1647 sexagenary1668 sexagesimal fraction?1683 ?1683 Proposal printing Treat. Algebra by J. Wallis (R. Davis, Printer) 1 The Sexagesimal Fractions (introduced it seems by Ptolomy) did but imperfectly supply the want of such a Method of Numeral Figures. 1749 S. Lowe Arithm. in Two Parts 72 Thus it is..that Sexagesimal fractions..are reduc'd to decimal. 1858 Catal. MSS. Univ. Libr. Cambr. III. 61 A table of the square roots of numbers from 1 to 102, calculated to three places of sexagesimal fractions. 1998 D. Bellos et al. tr. G. Ifrah Universal Hist. Numbers (2000) I. xiii. 299 The double oblique wedge or chevron in initial position also allowed Babylonian astronomers to represent sexagesimal fractions unambiguously. sexagesimal table n. a table used as an aid in calculating products and quotients of sexagesimal numbers; = sexagenary table n. at sexagenary adj. and n. Compounds. ΘΚΠ the world > relative properties > number > mathematical instruments > [noun] > table compute manual1483 tariff1591 sexagenary table1594 table of multiplication1594 long measure1623 scale of numbers1630 Rudolphine Tables1635 multiplication table1657 chiliad1675 sexagesimal table1685 nautical card1700 pence table1706 numeration tablea1743 tablebook1755 ready reckoner1757 calculator1784 tables1828 times table1902 log tablec1935 1685 J. Wallis Treat. Algebra vii. 20 The Sexagesimal Tables of Multiplication. 1780 M. Taylor (title) A sexagesimal table, exhibiting, at sight, the result of any proportion, where the terms do not exceed sixty minutes. 1947 Math. Tables & Other Aids Computation 2 298 This table..is a twelve-place sexagesimal table of sines and cosines. Derivatives ˌsexaˈgesimally adv. into sixtieths. ΘΚΠ the world > relative properties > number > specific numbers > eleven to ninety-nine > [adverb] > in to sixtieths sexagesimally1760 1760 R. Heath Astronomia Accurata 14 (heading) Examples of proportioning the differences of æquations... By table... Decimally... Sexagesimally. 1888 Encycl. Brit. XXIV. 489/1 The talent of the 80 grain system was sexagesimally divided. 1900 Notes & Queries 5 290/1 There is no utility, only needless complexity, in dividing 1° of arc sexagesimally. 1952 Osiris 10 254 I shall be more consistent and shall ordinarily write numbers sexagesimally, integers and fractions alike. 2001 M. Lewis Surv. Instruments Greece & Rome xii. 253 Al-Karaji says the staves were 6 spans (3 cubits) long, and recommends dividing them sexagesimally. This entry has been updated (OED Third Edition, December 2008; most recently modified version published online March 2022). < adj.n.1647
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