Definition

Noun: A planimeter is a mechanical or digital measuring instrument used to determine the area of an irregular two-dimensional shape or plane figure by tracing its perimeter.

Usage

The word "planimeter" is a technical term used primarily in fields such as surveying, cartography, engineering, and mathematics. It functions as a countable noun.

Examples: * The surveyor used a planimeter to calculate the area of the land parcel from the map. * Before digital tools, a polar planimeter was essential for measuring areas on engineering drawings. * To find the lake's surface area on the topographic map, she carefully traced its outline with the planimeter.

Advanced Usage

• Digital Planimeter: Modern versions, often called electronic planimeters or digital planimeters, convert the traced motion into a digital area reading.
  • The digital planimeter provided an instant and precise area calculation.
• Polar Planimeter: A specific, common mechanical design that uses a fixed pole and a tracing arm.
  • He demonstrated how the polar planimeter operates based on the geometry of a rotating wheel.

Variants and Related Words

• Planimetric (adjective): Relating to the measurement or representation of plane surfaces, ignoring elevation.
  • The map provided a planimetric view of the city streets.
• Planimetry (noun): The branch of geometry concerned with the measurement of plane areas, or the technique of measuring them.
  • The study involved the planimetry of various leaf specimens.

Synonyms

• Integrator: In a technical sense, a planimeter is a type of mechanical integrator.
• Area measuring instrument: A descriptive synonym.

Notes on Meaning

The core meaning of "planimeter" is consistently the instrument itself. The action of using it is described with verbs like "to use a planimeter," "to trace with a planimeter," or "to measure with a planimeter."

Noun

1. a measuring instrument for measuring the area of an irregular plane figure