intersectionn.

/ɪntəˈsɛkʃən/

Etymology: < Latin intersectiōn-em (Vitruvius), noun of action fromintersecāre to intersect v. Compare French intersection (14th cent.).

1. The action or fact of intersecting or crossing; esp. in Geometry (see intersect v. 1b).

ΘΚΠ

the world > space > relative position > fact or condition of being transverse > intersection > [noun]

overcastinga1398

intersecation1412

intersection1559

interfering1562

decussation1656

transversion1656

intercision1726

incidency1789

meshing1955

1559 W. Cuningham Cosmogr. Glasse 155 Then the meridian circle crosseth also..And so by these intersections [etc.].

1570 H. Billingsley tr. Euclid Elements Geom. i. f. 20^v To marke the poynts of the intersections of the circles.

1658 Sir T. Browne Garden of Cyrus i, in Hydriotaphia: Urne-buriall 95 By Diagonall lines the intersection was regular.

1704 J. Norris Ess. Ideal World II. vii. 366 The necessary intersection or decussation of the oblique rays.

1842 E. B. Barrett Some Acct. Greek Christian Poets in Athenæum 26 Feb. 189/3 The intersections of sweetness in the rise and fall of melodies.

1860 J. Tyndall Glaciers of Alps i. xii. 89 We were compelled to cross at the place of intersection.

2. The place where two things intersect or cross, spec. (chiefly North American) = cross-road n. 2; Geometry, the point (or line) of intersection; the point common to two lines or a line and a surface (or the line common to two surfaces) which intersect.

ΘΚΠ

the world > space > relative position > fact or condition of being transverse > intersection > [noun] > place of intersection

intersection1559

cutting1598

crossing1828

society > travel > means of travel > route or way > way, path, or track > junction of roads, paths, or tracks > [noun] > cross-roads

carfax1357

carfour1477

cross1546

cross-way?1556

quatervois?1575

four-way1598

four-crosswaya1645

crossing1695

four-went way(s1777

cross-road1812

cross-street1825

intersectiona1864

1559 W. Cuningham Cosmogr. Glasse 165 Applie a ruler from the Center of the Quadrate, unto th' intersection of the two thrides.

1660 tr. I. Barrow Euclide's Elements iii. 57 Both circles have their centres..in the intersection of those perpendiculars which is O.

1743 W. Emerson Doctr. Fluxions 234 The Axis of Motion being the Intersection of this Plane with the Surface of the Fluid.

a1864 N. Hawthorne Fr. & Ital. Jrnls. (1872) I. 15 We came to an intersection with another street.

1872 J. Yeats Growth Commerce 42 These formed at their intersection a noble open place or square.

1931 W. Faulkner Sanctuary xxiv. 279 He whipped the car in and out of traffic.., shooting recklessly across intersections.

1953 W. S. Burroughs Junkie ii. 34 I had to pull over to the side of a road and wait until the weed wore off. I could not tell how far away anything was or when to turn or put on the brakes for an intersection.

1970 Rand Daily Mail (Johannesburg) 28 Feb. 7/4 In the same way it does not matter that South Africans should say..‘intersection’ for cross roads.

1970 Globe & Mail (Toronto) 25 Sept. 2/4 Two girls, 14 and 15 years old, were killed last night when struck by a car at the intersection of Park and Cherry Streets.

Categories »

a. Logic. The relation of two classes that intersect, i.e. each of which partly includes and partly excludes the other. See intersect v. 2b (In modern dictionaries.)

b. Logic and Mathematics. The set which comprises all the elements common to two or more given sets, and no others; also, the operation of forming such a set.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set

set1857

interval1902

intersection1909

union1912

lattice1933

matroid1935

closure1937

Steiner triple or triplet system1939

recursive set1943

convex hull1951

power set1953

convex envelope1964

Steiner system1966

Julia set1976

Mandelbrot set1984

the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > (specific) sets

intersection1909

Russell set1957

universal set2004

1909 in Webster's New Internat. Dict. Eng. Lang.

1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra xi. 313 Intersection and union are related to each other and to inclusion by a fundamental principle of Consistency: The three conditions X ≤ Y, X ∩ Y = X, and X ∪ Y = Y, are mutually equivalent.

1950 W. Feller Introd. Probability Theory I. i. 14 In the theory of probability we can describe the event AB in words as the simultaneous occurrence of A and B. In standard mathematical terminology AB is called the (logical) intersection of A and B.

1952 F. B. Fitch Symbolic Logic iv. 101 For any two classes F and G there is a class [F ∩ G] known as the intersection of F with G and having as members just those things which belong to both F and G.

1963 K. W. Anderson & D. W. Hall Sets, Sequences, & Mappings iii. 50 A point is in the intersection of a collection of sets iff it is a member of every set in the collection.

1968 E. T. Copson Metric Spaces i. 9 Let A, B, C be subsets of a given set E. Then the operations of union, intersection and complementation have the following properties: (a) A ∪ A′ = E, A ∩ A′ = ø. [Etc.]

This entry has not yet been fully updated (first published 1900; most recently modified version published online December 2019).

单词	intersection
释义	intersectionn. /ɪntəˈsɛkʃən/ Etymology: < Latin intersectiōn-em (Vitruvius), noun of action fromintersecāre to intersect v. Compare French intersection (14th cent.). 1. The action or fact of intersecting or crossing; esp. in Geometry (see intersect v. 1b). ΘΚΠ the world > space > relative position > fact or condition of being transverse > intersection > [noun] overcastinga1398 intersecation1412 intersection1559 interfering1562 decussation1656 transversion1656 intercision1726 incidency1789 meshing1955 1559 W. Cuningham Cosmogr. Glasse 155 Then the meridian circle crosseth also..And so by these intersections [etc.]. 1570 H. Billingsley tr. Euclid Elements Geom. i. f. 20^v To marke the poynts of the intersections of the circles. 1658 Sir T. Browne Garden of Cyrus i, in Hydriotaphia: Urne-buriall 95 By Diagonall lines the intersection was regular. 1704 J. Norris Ess. Ideal World II. vii. 366 The necessary intersection or decussation of the oblique rays. 1842 E. B. Barrett Some Acct. Greek Christian Poets in Athenæum 26 Feb. 189/3 The intersections of sweetness in the rise and fall of melodies. 1860 J. Tyndall Glaciers of Alps i. xii. 89 We were compelled to cross at the place of intersection. 2. The place where two things intersect or cross, spec. (chiefly North American) = cross-road n. 2; Geometry, the point (or line) of intersection; the point common to two lines or a line and a surface (or the line common to two surfaces) which intersect. ΘΚΠ the world > space > relative position > fact or condition of being transverse > intersection > [noun] > place of intersection intersection1559 cutting1598 crossing1828 society > travel > means of travel > route or way > way, path, or track > junction of roads, paths, or tracks > [noun] > cross-roads carfax1357 carfour1477 cross1546 cross-way?1556 quatervois?1575 four-way1598 four-crosswaya1645 crossing1695 four-went way(s1777 cross-road1812 cross-street1825 intersectiona1864 1559 W. Cuningham Cosmogr. Glasse 165 Applie a ruler from the Center of the Quadrate, unto th' intersection of the two thrides. 1660 tr. I. Barrow Euclide's Elements iii. 57 Both circles have their centres..in the intersection of those perpendiculars which is O. 1743 W. Emerson Doctr. Fluxions 234 The Axis of Motion being the Intersection of this Plane with the Surface of the Fluid. a1864 N. Hawthorne Fr. & Ital. Jrnls. (1872) I. 15 We came to an intersection with another street. 1872 J. Yeats Growth Commerce 42 These formed at their intersection a noble open place or square. 1931 W. Faulkner Sanctuary xxiv. 279 He whipped the car in and out of traffic.., shooting recklessly across intersections. 1953 W. S. Burroughs Junkie ii. 34 I had to pull over to the side of a road and wait until the weed wore off. I could not tell how far away anything was or when to turn or put on the brakes for an intersection. 1970 Rand Daily Mail (Johannesburg) 28 Feb. 7/4 In the same way it does not matter that South Africans should say..‘intersection’ for cross roads. 1970 Globe & Mail (Toronto) 25 Sept. 2/4 Two girls, 14 and 15 years old, were killed last night when struck by a car at the intersection of Park and Cherry Streets. 3. Categories » a. Logic. The relation of two classes that intersect, i.e. each of which partly includes and partly excludes the other. See intersect v. 2b (In modern dictionaries.) b. Logic and Mathematics. The set which comprises all the elements common to two or more given sets, and no others; also, the operation of forming such a set. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set set1857 interval1902 intersection1909 union1912 lattice1933 matroid1935 closure1937 Steiner triple or triplet system1939 recursive set1943 convex hull1951 power set1953 convex envelope1964 Steiner system1966 Julia set1976 Mandelbrot set1984 the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > (specific) sets intersection1909 Russell set1957 universal set2004 1909 in Webster's New Internat. Dict. Eng. Lang. 1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra xi. 313 Intersection and union are related to each other and to inclusion by a fundamental principle of Consistency: The three conditions X ≤ Y, X ∩ Y = X, and X ∪ Y = Y, are mutually equivalent. 1950 W. Feller Introd. Probability Theory I. i. 14 In the theory of probability we can describe the event AB in words as the simultaneous occurrence of A and B. In standard mathematical terminology AB is called the (logical) intersection of A and B. 1952 F. B. Fitch Symbolic Logic iv. 101 For any two classes F and G there is a class [F ∩ G] known as the intersection of F with G and having as members just those things which belong to both F and G. 1963 K. W. Anderson & D. W. Hall Sets, Sequences, & Mappings iii. 50 A point is in the intersection of a collection of sets iff it is a member of every set in the collection. 1968 E. T. Copson Metric Spaces i. 9 Let A, B, C be subsets of a given set E. Then the operations of union, intersection and complementation have the following properties: (a) A ∪ A′ = E, A ∩ A′ = ø. [Etc.] This entry has not yet been fully updated (first published 1900; most recently modified version published online December 2019). < n.1559
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