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Section (United States land surveying)

Section (United States land surveying) is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Section (United States land surveying) rather than just read about it. In short: In U.S. land surveying under the Public Land Survey System (PLSS), a section is an area nominally one square mile (2.6 square kilometers), containing 640 acres (260 hectares), with 36 sections making up one survey township on a rectangular grid. Description The legal description of a tract of land under the PLSS includes the name of the state, name of the county, township number, range number, section number, and po…

Section (United States land surveying) — main illustration
Section (United States land surveying) — illustration

Key takeaways

  • Section (United States land surveying) belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Section (United States land surveying) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Section (United States land surveying) from memory before moving on to harder problems.

Reference excerpt

In U.S. land surveying under the Public Land Survey System (PLSS), a section is an area nominally one square mile (2.6 square kilometers), containing 640 acres (260 hectares), with 36 sections making up one survey township on a rectangular grid.

Description The legal description of a tract of land under the PLSS includes the name of the state, name of the county, township number, range number, section number, and portion of a section. Sections are customarily surveyed into smaller squares by repeated halving and quartering. A quarter section is 160 acres (65 ha) and a "quarter-quarter section" is 40 acres (16 ha). In 1832 the smallest area of land that could be acquired was reduced to the 40-acre (16 ha) quarter-quarter section, and this size parcel became entrenched in American mythology. After the Civil War, freedmen (freed slaves) were reckoned to be self-sufficient with "40 acres and a mule," though they never received it. In the 20th century real estate developers preferred working with 40-acre (16 ha) parcels. The phrases "front 40" and "back 40," referring to farm fields, indicate the front and back quarter-quarter sections of land. One of the reasons for creating sections of 640 acres (260 ha) was the ease of dividing into halves and quarters while still maintaining a whole number of acres. A section can be halved seven times in this way, down to a 5-acre (2 ha) parcel, or half of a quarter-quarter-quarter section—an easily surveyed 50-square-chain (2 ha) area. This system was of great practical value on the American frontier, where surveyors often had a shaky grasp of mathematics and were required to work quickly.

A description of a quarter-quarter section in standard abbreviated form, might look like "NW 1/4, NE 1/4, Sec. 34, T.3S, R.1W, 1st P.M." or, alternatively, "34-3-1 NW4NE4 1PM". In expanded form, this would read:The Northwest quarter of the Northeast quarter of Section 34 of Township 3 South, Range 1 West, first Principal Meridian.

History The existence of section lines made property descriptions far more straightforward than the old metes and bounds system. The establishment of standard east–west and north–south lines ("township" and "range lines") meant that deeds could be written without regard to temporary terrain features such as trees, piles of rocks, fences, and the like, and be worded in the style such as "Lying and being in Township 4 North; Range 7 West; and being the northwest quadrant of the southwest quadrant of said section," an exact description in this case of 40 acres, as there are 640 acres (260 ha) in a square mile. The importance of "sections" was greatly enhanced by the passage of "An Ordinance for ascertaining the mode of disposing of lands in the Western Territory" of 1785 by the U.S. Congress (see Land Ordinance of 1785). This law provided that lands outside the existing states could not be sold, otherwise distributed, or opened for settlement prior to being surveyed. The standard way of doing this was to divide the land into sections. An area of six sections by six sections would define a township. Within this area, one section (section 16) was designated as school land. As the entire parcel would not be necessary for the school and its grounds, the balance of it was to be sold, with the monies to go into the construction and upkeep of the school. Section 36 was also subsequently added as a school section in western states. The ordinance also specified that out of every township, the four lots, being numbered 8, 11, 26, 29, and out of every fractional part of a township, so many lots of the same numbers as shall be found thereon, for future sale. On May 20, 1862, President Abraham Lincoln signed into law the Homestead Act, by which settlers could "claim" 160 acres (a quarter section) of public land. Claimants were required to "live on" and “improve” their plots by cultivating the land. After five years, the original filer of the claim was entitled to the property, free and clear, except for a small registration fee.

Roads and urban planning

Numbering within a township

Every township is divided into 36 sections, each usually 1 mile (1.6 km) square. Sections are numbered boustrophedonically within townships as follows (north at top):

Section subdivisions

Sections can be divided into quarter sections of 160 acres (65 ha), named by intercardinal direction (northwest, northeast, etc.). For instance, the southwest quarter of a section is named SW 1/4.

Sections can be further broken up into 40-acre (16 ha) blocks, or quarter-quarter sections. These add a second intercardinal direction label. For instance, the southeast quarter of the southwest quarter section mentioned above is labeled SE 1/4, SW 1/4:

Measurement anomalies The curvature of the Earth makes it impossible to superimpose a regular grid on its surface, as the meridians converge toward the North Pole. As the U.S. is in the Northern Hemisphere, if a section's or township's east and west sides lie along meridians, its north side is shorter than its south side. Because sections were surveyed from south and east to north and west, accumulated errors and distortions resulted in the north and west lines, and north and west sections diverged the most from the ideal shape and size. The entire township grid shifts to account for the Earth's curvature. Where the grid is corrected, or where two grids based on different principal meridians meet, section shapes are irregular. Sections also differ from the PLSS ideal of one square mile for other reasons, including errors and sloppy work by surveyors, poor instrumentation, and difficult terrain. In addition, the primary survey tool was the magnetic compass, which is influenced by local irregularities. Once established, even an imperfect grid remains in force, mainly because the monuments of the original survey, when recovered, hold legal precedent over subsequent surveys.

Alternatives and legacy systems

… excerpt ends here. Continue reading the full article.

Illustrations

Section (United States land surveying): Sectioning a township (36 sections).
Sectioning a township (36 sections).
Section (United States land surveying): Perfectly square 160-acre quarter sections of farmland cover central Indiana.
Perfectly square 160-acre quarter sections of farmland cover central Indiana.
Section (United States land surveying): Satellite image of crops growing in southwest Kansas, mainly using center pivot irrigation. The primary grid pattern is of quarter sections (.mw-parser-output .frac{white-space:nowrap}.mw-parser-output .frac .num,.mw-parser-output .frac .den{font-size:80%;line-height:0;vertical-align:super}.mw-parser-output .frac .den{vertical-align:sub}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}1⁄2 mi × 1⁄2 mi (800 m × 800 m)).
Satellite image of crops growing in southwest Kansas, mainly using center pivot irrigation. The primary grid pattern is of quarter sections (.mw-parser-output .frac{white-space:nowrap}.mw-parser-output .frac .num,.mw-parser-output .frac .den{font-size:80%;line-height:0;vertical-align:super}.mw-parser-output .frac .den{vertical-align:sub}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}1⁄2 mi × 1⁄2 mi (800 m × 800 m)).
Section (United States land surveying): Section map of Rock Creek Township, Saunders County, Nebraska (1907)
Section map of Rock Creek Township, Saunders County, Nebraska (1907)

Worked examples

Example 1 — a first encounter with Section (United States land surveying)

Start with the simplest possible case. Write down what Section (United States land surveying) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Section (United States land surveying) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Section (United States land surveying) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Section (United States land surveying)

In research
Section (United States land surveying) appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Section (United States land surveying) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Section (United States land surveying) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Customary units of measurement in the United States, Surveying of the United States, Units of area, so understanding it makes those chapters shorter.
In everyday life
Look for Section (United States land surveying) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Section (United States land surveying) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Section (United States land surveying) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Section (United States land surveying) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Section (United States land surveying) in simple terms?

In U.S. land surveying under the Public Land Survey System (PLSS), a section is an area nominally one square mile (2.6 square kilometers), containing 640 acres (260 hectares), with 36 sections making up one survey township on a rectangular grid. Description The legal description of a tract of land…

Why does Section (United States land surveying) matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Section (United States land surveying)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Section (United States land surveying).

Tags

  • Customary units of measurement in the United States
  • Surveying of the United States
  • Units of area

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