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Tool for estimating area
A dot planimeter is a device used in planimetrics for estimating the area of a shape, consisting of a transparent sheet containing a square grid of dots
Dot_planimeter
Tool for measuring area
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
Planimeter
Study of plane measurements
including angles, distances, and areas. To measure planimetrics a planimeter or dot planimeter is used. This rather advanced analog technology is being taken
Planimetrics
Formula for area of a grid polygon
areas of mathematics and computer science. In application areas, the dot planimeter is a transparency-based device for estimating the area of a shape by
Pick's_theorem
How many integer lattice points there are in a circle
higher. The dot planimeter is physical device for estimating the area of shapes based on the same principle. It consists of a square grid of dots, printed
Gauss_circle_problem
High-area shapes can shift to hold many grid points
a candidate for a collision-resistant cryptographic hash function. Dot planimeter, a device for estimating the area of a shape by counting the lattice
Blichfeldt's_theorem
Relation among area, perimeter, and grid points
} This implies that when measuring the area of a convex set using a dot planimeter, the error in estimation is at most proportional to the perimeter. The
Nosarzewska's_inequality
for measuring curve length by rolling a small wheel along the curve Dot planimeter, a similar transparency-based device for estimating area, based on Pick's
Steinhaus_longimeter
Coordinates comprising a distance and an angle
above integral. A mechanical device that computes area integrals is the planimeter, which measures the area of plane figures by tracing them out: this replicates
Polar_coordinate_system
Computation machine that uses continuously varying data technology
century and found application in gunnery, surveying and navigation. The planimeter was a manual instrument to calculate the area of a closed figure by tracing
Analog_computer
Mathematical algorithm for calculating area of a simple polygon
{1}{6}}\left\|\sum _{F}v_{1}\wedge v_{2}\wedge v_{3}\right\|} Green's theorem Planimeter Polygon area Pick's theorem Heron's formula Mathologer video about Gauss's
Shoelace_formula
Size of a two-dimensional surface
_{t_{0}}^{t_{1}}{\vec {u}}\times {\dot {\vec {u}}}\,dt.} (For details, see Green's theorem § Area calculation.) This is the principle of the planimeter mechanical device
Area
Model for thermodynamic phase transitions
Maxwell's, but due to the ease with which areas could be measured with a planimeter, the equal area rule continued to be widely used for many years. Its use
Maxwell_construction
Science and engineering method
transparent overlay. The watershed area can then be estimated using a planimeter, by overlaying graph paper and counting grid cells, or the result can
Watershed_delineation
Lagoon in Courbet Peninsula, Kerguelen islands
fluvio-glacial origin. All measurements were made on Google maps with ACME planimeter and checked on Géoportail and its own tools. Topographic descriptions
Lac_Marville
Pointing device used to control a computer
Engelbart began to ponder how to adapt the underlying principles of the planimeter to inputting X- and Y-coordinate data. On 14 November 1963, he first recorded
Computer_mouse
Mean position of all the points in a shape
_{a}^{b}{\bigl (}f(x)-g(x){\bigr )}dx} ). An integraph (a relative of the planimeter) can be used to find the centroid of an object of irregular shape with
Centroid
Discrete (i.e., incremental) version of infinitesimal calculus
discrete analogue of Green's theorem is applied in an instrument known as a planimeter, which is used to calculate the area of a flat surface on a drawing. For
Discrete_calculus
Operation in calculus
two-dimensional shape can be determined using a measuring instrument called planimeter. The volume of irregular objects can be measured with precision by the
Integral
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