triangulationn.

/trʌɪaŋɡjʊˈleɪʃən/

Etymology: < medieval Latin triangulātiōn-em (Abelard, a1142), noun of action from *triangulāre to triangulate v. So French triangulation (1835 in Dict. Acad.).

The action or process of triangulating.

1. The tracing and measurement of a series or network of triangles in order to survey and map out a territory or region, spec. by measuring the angles and one side of each triangle (cf. trilateration n.). Frequently attributive, as triangulation point (also figurative).

ΘΚΠ

the world > the earth > earth sciences > geography > map-making > surveying > [noun] > specific methods or processes

dialling1670

traverse1674

boning1718

levelling1812

triangulation1818

resection1855

plane-tabling1867

stepping1888

tacheometry1888

tachymetry1891

trilateration1948

1818 Blackwood's Edinb. Mag. 3 463 The English triangulation, begun by General Roy.

1826 T. Drummond in Philos. Trans. (Royal Soc.) 116 ii. 334 Slieve Snaght, the highest hill of Innishowen,..forms an important point in the triangulation, which connects the North of Ireland with the western islands of Scotland.

1863 A. C. Ramsay Physical Geol. & Geogr. Great Brit. (1878) xxxi. 550 The triangulation of Scotland for the Ordnance Survey.

1864 J. Hunt tr. C. Vogt Lect. on Man Index Triangulation of the skull.

attributive.1923 Geogr. Rev. 13 465 The recent remarking of the Meades Ranch Station calls attention to the unique importance of this triangulation point.1947 A. R. Hinks Maps & Survey (ed. 5) ix. 172 The methods of trigonometrical survey..divide themselves into the following sections: 1. Determination of mean sea level... 9. Transference of the triangulation points to the plane-table sheets.1977 Times Lit. Suppl. 22 Apr. 494/1 Dispassionate yet sensitive, his Lenz..deservedly became the triangulation-point for a whole generation.

a. Division of a rectilinear figure into triangles.

ΚΠ

1891 Cent. Dict. Triangulation, 1. A making triangular; formation into triangles.

b. Mathematics. (See quot. 1956); also, the result of such a process.

ΘΚΠ

the world > relative properties > number > geometry > geometric space > [noun] > topological > division or part of

triangulation1940

topology1946

1940 Proc. National Acad. Sci. U.S.A. 26 360 This result is but one of the implications of a triangulation.

1956 E. M. Patterson Topol. v. 89 Triangulation..is the process of dividing up a [topological] space into pieces which are homeomorphic with the interior of a triangle or its analogues in other dimensions.

1974 McGraw-Hill Yearbk. Sci. & Technol. 412/2 These developments [in topology] were highlighted by the solutions in 1969 of the annulus conjecture..and of the triangulation problem for manifolds.

1977 Sci. Amer. Oct. 113/1 A triangulation that represents a minimal five-chromatic map cannot have any vertices with fewer than five neighbors.

Draft additions March 2004

Politics (originally U.S.). The action or process of positioning oneself politically between traditional left-wing and right-wing standpoints; cf. third way n. 2.Coinage of this sense is usually attributed to Dick Morris, a one-time adviser to former U.S. president Bill Clinton.

ΚΠ

1995 Plain Dealer (Cleveland, Ohio) 15 June a11/2 With an eye on the 1996 presidential contest, Clinton is practicing a bit of political triangulation—charting his own course by playing off both the Republicans and Democrats in Congress to win re-election.

1997 New Republic 24 Feb. 28/2 The next step was what Morris insisted on calling ‘triangulation’..: devising a position for Clinton that was located between the positions of the two parties in Congress.

2001 Newsweek 27 Aug. 33/1 The art of modern politics is triangulation—finding a middle ground between right and left.

This entry has not yet been fully updated (first published 1914; most recently modified version published online September 2019).

单词	triangulation
释义	triangulationn. /trʌɪaŋɡjʊˈleɪʃən/ Etymology: < medieval Latin triangulātiōn-em (Abelard, a1142), noun of action from triangulāre to triangulate v. So French triangulation* (1835 in Dict. Acad.). The action or process of triangulating. 1. The tracing and measurement of a series or network of triangles in order to survey and map out a territory or region, spec. by measuring the angles and one side of each triangle (cf. trilateration n.). Frequently attributive, as triangulation point (also figurative). ΘΚΠ the world > the earth > earth sciences > geography > map-making > surveying > [noun] > specific methods or processes dialling1670 traverse1674 boning1718 levelling1812 triangulation1818 resection1855 plane-tabling1867 stepping1888 tacheometry1888 tachymetry1891 trilateration1948 1818 Blackwood's Edinb. Mag. 3 463 The English triangulation, begun by General Roy. 1826 T. Drummond in Philos. Trans. (Royal Soc.) 116 ii. 334 Slieve Snaght, the highest hill of Innishowen,..forms an important point in the triangulation, which connects the North of Ireland with the western islands of Scotland. 1863 A. C. Ramsay Physical Geol. & Geogr. Great Brit. (1878) xxxi. 550 The triangulation of Scotland for the Ordnance Survey. 1864 J. Hunt tr. C. Vogt Lect. on Man Index Triangulation of the skull. attributive.1923 Geogr. Rev. 13 465 The recent remarking of the Meades Ranch Station calls attention to the unique importance of this triangulation point.1947 A. R. Hinks Maps & Survey (ed. 5) ix. 172 The methods of trigonometrical survey..divide themselves into the following sections: 1. Determination of mean sea level... 9. Transference of the triangulation points to the plane-table sheets.1977 Times Lit. Suppl. 22 Apr. 494/1 Dispassionate yet sensitive, his Lenz..deservedly became the triangulation-point for a whole generation. 2. a. Division of a rectilinear figure into triangles. ΚΠ 1891 Cent. Dict. Triangulation, 1. A making triangular; formation into triangles. b. Mathematics. (See quot. 1956); also, the result of such a process. ΘΚΠ the world > relative properties > number > geometry > geometric space > [noun] > topological > division or part of triangulation1940 topology1946 1940 Proc. National Acad. Sci. U.S.A. 26 360 This result is but one of the implications of a triangulation. 1956 E. M. Patterson Topol. v. 89 Triangulation..is the process of dividing up a [topological] space into pieces which are homeomorphic with the interior of a triangle or its analogues in other dimensions. 1974 McGraw-Hill Yearbk. Sci. & Technol. 412/2 These developments [in topology] were highlighted by the solutions in 1969 of the annulus conjecture..and of the triangulation problem for manifolds. 1977 Sci. Amer. Oct. 113/1 A triangulation that represents a minimal five-chromatic map cannot have any vertices with fewer than five neighbors. Draft additions March 2004 Politics (originally U.S.). The action or process of positioning oneself politically between traditional left-wing and right-wing standpoints; cf. third way n. 2.Coinage of this sense is usually attributed to Dick Morris, a one-time adviser to former U.S. president Bill Clinton. ΚΠ 1995 Plain Dealer (Cleveland, Ohio) 15 June a11/2 With an eye on the 1996 presidential contest, Clinton is practicing a bit of political triangulation—charting his own course by playing off both the Republicans and Democrats in Congress to win re-election. 1997 New Republic 24 Feb. 28/2 The next step was what Morris insisted on calling ‘triangulation’..: devising a position for Clinton that was located between the positions of the two parties in Congress. 2001 Newsweek 27 Aug. 33/1 The art of modern politics is triangulation—finding a middle ground between right and left. This entry has not yet been fully updated (first published 1914; most recently modified version published online September 2019). < n.1818
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