Planimeter - Wikipedia
A planimeter, also known as a platometer, is a measuring instrument used to determine the area of an arbitrary two-dimensional shape. There are several kinds of planimeters, but all operate in a similar way.
ingenious device called planimeter was invented in 1814 to satisfy the need of land surveyors and other real life applications. There is an extensive literature devoted to the mathematics
The magical tool is called planimeter and it achieves high accuracy in measuring an area by merely tracing around its boundary once using the tracer. The planimeter’s advent has brought...
Measurement of the area using Planimeter - Civil Engineering …
For measuring the area of plots with planimeter, two methods are generally adopted. Method 1: the area of the figure is measured in square cm and the field area is determined by multiplying the area of the figure by the square of the scale of the plot.
How Planimeters Work - Wabash College
2009年5月26日 · Planimeters work based on the intuitive notion of a moving line segment sweeping out area. Here is a line segment sweeping out a narrow quadrilateral. The segment is oriented by a vector N, which is normal, or perpendicular, to the segment. The area swept out is signed, or oriented. The positive direction is indicated by N.
How to Use Planimeter in Surveying? Components of a Planimeter
Planimeter is used to compute the area of given plan of any shape. In the first step anchor point is to be fixed at one point. If the given plan area is small, then anchor point is placed outside the plan.
Planimeter: A Magical Tool to Calculate Area - ResearchGate
2022年11月26日 · The magical tool is called planimeter and it achieves high accuracy in measuring an area by merely tracing around its boundary once using the tracer. The planimeter’s advent has brought...
The Planimeter and the Theorem of Green - Harvard University
2000年12月9日 · The polar planimeter is a mechanical device for measuring areas of regions in the plane which are bounded by smooth boundaries. The measurement is based directly on Green's theorem in multi-variable calculus: the planimeter integrates a line integral of a vector field which has constant curl.
Planimeter | Surveying, Measurement, Calculation | Britannica
Planimeter, mathematical instrument for directly measuring the area bounded by an irregular curve, and hence the value of a definite integral. The first such instrument, employing a disk-and-wheel principle to integrate, was invented in 1814 by J.H. Hermann, a Bavarian engineer.
Planimetrics - Wikipedia
Planimetrics is the study of plane measurements, including angles, distances, and areas. To measure planimetrics a planimeter or dot planimeter is used.
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