QUADRANT

6 definitions found across Law Mind sources

QUADRANTAuthored
The Law Mind • 920 words
Definition
In law, quadrant most commonly appears in two distinct contexts: 1. Measurement and surveying. A quadrant is an angular measure of ninety degrees — one-fourth of a circle. In land descriptions and boundary surveys, the term identifies a bearing arc used to express the direction of a boundary line from a point of origin. Surveyors historically divided the compass into four ninety-degree quadrants (northeast, northwest, southeast, southwest), and metes-and-bounds descriptions routinely locate corners and boundary lines by reference to a bearing expressed within one of these quadrants. 2. Spatial division of land or area. More broadly, a quadrant refers to any one of four sections produced by dividing a space with two perpendicular lines. In legal instruments — deeds, plats, municipal ordinances, and zoning codes — a quadrant may describe a section of a city, a lot division, or a defined portion of a mapped area. The related Latin term QUADRANTATA TERRAE (also spelled QUADRANTATA TERRÆ) is a distinct legal concept from old English land law: a measure of land variously described as one-quarter of an acre or the fourth part of a yardland.
Common Language
Modern common usage (Wiktionary): One of the four sections made by dividing an area with two perpendicular lines; one-fourth of a circle; a sector with an angle of 90°; a measuring device with a graduated arc of 90° used in locating an altitude. Historical common usage (Webster's 1913): The fourth part; the quarter of a circle or circumference; an arc of 90°; one of the four parts into which a plane is divided by coordinate axes. The common meaning and legal meaning are largely aligned in geometry and measurement. The gap that matters for legal research is narrower: in common use, "quadrant" freely describes any of the four mathematical regions of a Cartesian plane; in legal instruments, the word nearly always carries a surveying or geographic function — identifying directional bearing, compass orientation, or a defined subdivision of a mapped space. A researcher encountering "quadrant" in a deed or boundary dispute should read it as a surveying or locational term, not an abstract geometric one.
Common Confusion
QUADRANT vs. QUADRANTATA TERRAE. The single-word form and the Latin compound are easily conflated in older sources. Quadrant, standing alone, describes an angular or spatial measure. Quadrantata terrae is a specific Old English unit of land area — a quantum of land, not a measurement of angle or direction. Black's entries for each term appear in proximity, which increases the risk of conflation when reading historical treatises on land measurement.
Why It Matters in Research
For land title and boundary research, "quadrant" appears most frequently in metes-and-bounds instruments. A bearing expressed as "N 45° E" locates a line in the northeast quadrant of the compass rose; misreading the quadrant designation reverses the direction of a boundary line entirely, which is a consequential error in title work and boundary litigation. In municipal law and zoning, cities are sometimes divided into quadrants for addressing, zoning districts, or electoral purposes. Legal instruments that incorporate quadrant designations by reference to a city grid (common in Washington, D.C., and several planned municipalities) require the researcher to consult the governing plat or municipal code to confirm which quadrant system is operative. In historical sources, researchers should be alert to the latitude of the term. Pre-twentieth-century deeds and surveys use quadrant to describe compass bearing arcs, while modern GIS-influenced legal descriptions may use the term more loosely to mean any four-part spatial division. The two usages are not always interchangeable. The entry for QUADRANTATA TERRAE in Black's is brief and the range given — "a quarter of an acre or the fourth part of a yardland" — reflects genuine historical ambiguity in Old English land measurement. Yardlands (virgates) themselves varied by locality, so a quadrantata was not a fixed national unit. Researchers working with medieval English land records or early colonial instruments derived from English models should treat the term as approximate.
Historical Dictionary Support
Both editions of Black's Law Dictionary give an identical bare-bones definition for quadrant: "an angular measure of ninety degrees." The first edition appends the QUADRANTATA TERRAE entry immediately following, suggesting the editors treated the land-measure term as a derivative worth noting but not elaborating. Neither edition engages the surveying application in any depth, which reflects the dictionary's approach to terms of art that were assumed to be understood by practitioners working with surveyors' instruments and plat conventions. Webster's 1913 provides the more useful technical elaboration — describing the coordinate-plane division and the compass instrument — but from a non-legal perspective. The legal dictionaries, by contrast, strip the definition to its geometric core without explaining why that core matters in legal instruments. Neither edition of Black's addresses the quadrant designation system used in metes-and-bounds surveying or the compass-bearing convention, which represents a gap researchers must fill from surveying treatises and practice manuals rather than legal dictionaries alone.
Jurisdictional Note
Metes-and-bounds states (primarily in the eastern United States and portions of the South and Texas) rely heavily on compass quadrant bearings in deed descriptions. Public Land Survey System states (most of the Midwest and West) use township-and-range descriptions that largely displace quadrant-bearing language, though quadrant references may still appear in older instruments, city plats, and subdivision descriptions within PLSS states.
Related Terms
QUADRANTATA TERRAE — METES AND BOUNDS — BEARING — COMPASS BEARING — YARDLAND (VIRGATE) — PLAT — SURVEY — MONUMENT — MERIDIAN — SECTION (land measurement)
QUADRANTmain
Black's Law Dictionary • 1891
An angular measure of ninety degrees. QUADRANTATA TERRÆ. In old English law. A measure of land, variously described as a quarter of an acre or the fourth part of a yard-land.
QUADRANTmain
Black's Law Dictionary (2nd Ed.) • 1910
An angular measure of ninety degrees. Lat. Q QUZ: ACCESSIONUM
QUADRANTn.
Websters Unabridged Dictionary (1913) • 1913
The fourth part; the quarter. [Obs.] Sir T. Browne. The quarter of a circle, or of the circumference of a circle, an arc of 90º, or one subtending a right angle at the center. One of the four parts into which a plane is divided by the coördinate axes. The upper right-hand part is the first quadrant; the upper left-hand part the second; the lower left-hand part the third; and the lower right-hand part the fourth quadrant. An instrument for measuring altitudes, variously constructed and mounted for different specific uses in astronomy, surveying, gunnery, etc., consisting commonly of a graduated arc of 90º, with an index or vernier, and either plain or telescopic sights, and usually having a plumb line or spirit level for fixing the vertical or horizontal direction. Gunner's quadrant, an instrument consisting of a graduated limb, with a plumb line or spirit level, and an arm by which it is applied to a cannon or mortar in adjusting it to the elevation required for attaining the desired range. -- Gunter's quadrant. See Gunter's quadrant, in the Vocabulary. Hadley's quadrant, a hand instrument used chiefly at sea to measure the altitude of the sun or other celestial body in ascertaining the vessel's position. It consists of a frame in the form of an octant having a graduated scale upon its arc, and an index arm, or alidade pivoted at its apex. Mirrors, called the index glass and the horizon glass, are fixed one upon the index arm and the other upon one side of the frame, respectively. When the instrument is held upright, the index arm may be swung so that the index glass will reflect an image of the sun upon the horizon glass, and when the reflected image of the sun coincides, to the observer's eye, with the horizon as seen directly through an opening at the side of the horizon glass, the index shows the sun's altitude upon the scale; -- more properly, but less commonly, called an octant. -- Quadrant of altitude, an appendage of the artificial globe, consisting of a slip of brass of the length of a quadrant of one of the great circles of the globe, and graduated. It may be fitted to the meridian, and being movable round to all points of the horizon, serves as a scale in measuring altitudes, azimuths, etc.
quadrantnoun
Wiktionary (English) • 2026
Wiktionary contributorsCC BY-SA 4.0 • via Kaikki
Extracted and formatted for display by Law Mind. Source link opens the current Wiktionary page and its contributor history; it is not a frozen copy of this extract.
One of the four sections made by dividing an area with two perpendicular lines. | One of the four regions of the Cartesian plane bounded by the x-axis and y-axis. | One fourth of a circle or disc; a sector with an angle of 90°. | A measuring device with a graduated arc of 90° used in locating an altitude. | One of the four categories of team wins and losses, as categorized by strength of schedule.
quadrantnoun
Wiktionary (English) • 2026
Wiktionary contributorsCC BY-SA 4.0 • via Kaikki
Extracted and formatted for display by Law Mind. Source link opens the current Wiktionary page and its contributor history; it is not a frozen copy of this extract.
A square or quadrangle.

Explore the full Law Mind legal research platform.

SubscribeEncyclopediaSign In