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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
Device used in planimetrics
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
Programmable machine that processes data
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
Computer
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
Type of motorcycle
lamp, inverted front suspension fork, all-LED lighting system, full LCD planimeter with shift indicator and wider tyres. A streetfighter variation of the
Yamaha_YZF-R15
American mechanical engineer (1859–1958)
mathematically describing a radial planimeter for averaging values plotted in polar coordinates. Originally a radial planimeter was of academic interest only
William_F._Durand
Operation in mathematical 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
Size of a two-dimensional surface
see Green's theorem § Area calculation.) This is the principle of the planimeter mechanical device. To find the bounded area between two quadratic functions
Area
Capital and largest city of Uruguay
doi:10.1080/13562570500305052. ISSN 1356-2576. S2CID 143638751. "ACME Planimeter". Archived from the original on 1 October 2005. Retrieved 27 February
Montevideo
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 counting
Pick's_theorem
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
Combination of analog machine and media
clocks), the astrolabe, slide rules, the governor of a steam engine, the planimeter (a simple device that measures the surface area of a closed shape), Kelvin's
Analog_device
German engineer and entrepreneur
In 1871 he founded his own company, manufacturing cathetometers and planimeters. He manufactured equatorial telescopes for the Düsseldorf Observatory
Carl_Bamberg
Indicator showing where text would be input
intelligence by pondering how to adapt the underlying principles of the planimeter to inputting X- and Y-coordinate data, and envisioned something like the
Cursor_(user_interface)
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
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
attribute to either one of them. Jakob Amsler-Laffon invented the polar planimeter in 1854. The instrument consists of a fixed pivot (the "pole"), a two-arm
Jakob_Amsler-Laffon
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
Watchmaker, mathematician, astronomer
Department of Physics at the University of Otago. He also exhibited a planimeter to measure the area of irregular shapes. He was awarded the Makdougall
Arthur_Beverly
Unique point where the weighted relative position of the distributed mass sums to zero
can be accounted for as negative masses. A direct development of the planimeter known as an integraph, or integerometer, can be used to establish the
Center_of_mass
Theorem in calculus relating line and double integrals
by Bernhard Riemann in his doctoral dissertation. Mathematics portal Planimeter – Tool for measuring area Method of image charges – A method used in electrostatics
Green's_theorem
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
Graduated markings, generally logarithmic, on slide rule
See image above of the back of the Aristo slide rule. "Slide Rule and Planimeter Sections". K&E Catalog 42nd Edition. Keuffel and Esser. 1954. p. 279.
Slide_rule_scale
Measuring tool for arbitrary curved lines
outwit his imitators; he also refused to disclose the origin of the word. Planimeter Steinhaus longimeter Surveyor's wheel Gerard L'Estrange Turner, Scientific
Opisometer
Visual mathematical proofs
diagram. The Method of Mechanical Theorems Pappus's centroid theorem Planimeter Tristan Needham's visual complex analysis. Visual Calculus Mamikon Mnatsakanian
Visual_calculus
Tool used in the study or practice of mathematics
greatly improved accuracy of divisions on measuring and mathematical scales Planimeter, a device for measuring area The Construction and Principal Uses of Mathematical
Mathematical_instrument
Several examples of analog computation survived into recent times. A planimeter is a device that does integrals, using distance as the analog quantity
History_of_computing
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
Component that outputs the integral of its input over time
instruments such as naval gun directors, flow totalizers and others. A planimeter is a mechanical device used for calculating the definite integral of a
Integrator
Bird biometrics
manually by tracing the outline of the wing on grid paper or using a planimeter. Alternatively, the area can be obtained digitally using a photograph
Bird_measurement
Mechanical analogue computer to solve differential equations
solutions for differential equations using mechanical devices, discounting planimeters, started at least as early as 1836, when the French physicist Gaspard-Gustave
Differential_analyser
American instrument manufacturing company (1867–1987)
calculating products. Among them were drafting kits and supplies, transits, planimeters, pocket and desk calculators, and fraction adders. By 1930 the K&E catalogue
Keuffel_and_Esser
Device for measuring a physical quantity
meter For the ranges of length-values see: Orders of magnitude (length) Planimeter For the ranges of area-values see: Orders of magnitude (area) Buoyant
List_of_measuring_instruments
Lake in France
australes et antarctiques françaises, Paris 1973. measured with ACME planimeter on Google maps Katrien Heirman, Marc de Batist, Fabien Arnaud & Jacques-Louis
Lake_Armor
Mathematical process by William Froude
due to the velocity of advance. The areas may be found by means of a planimeter, proper consideration, of course, being given to the scales of values
Blade_element_theory
How many integer lattice points there are in a circle
exponents appearing in the problem from squares to cubes, or higher. The dot planimeter is physical device for estimating the area of shapes based on the same
Gauss_circle_problem
Computing by new or unusual methods
device that calculates the positions of planets and the Moon, and the planimeter, a mechanical integrator for calculating the area of an arbitrary 2D shape
Unconventional_computing
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
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
Public university in Mannheim, Baden-Württemberg, Germany
Archived from the original on 16 April 2024. Retrieved 21 April 2021. "Planimeter: Measurement of University of Mannheim's campus". Acme.com. Archived from
University_of_Mannheim
American Viticultural Area in Mendocino County, California
maps and soil descriptions, and were measured with a Compensating Polar Planimeter. The table indicates that, while "Redwood Valley" contains most of the
Redwood_Valley_AVA
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
College in Kerala, India
chains, measuring tapes, plane table, prismatic compass, total station, planimeter, and subtense bar 2m. Concrete Lab: Tests on cement, fine and course aggregates
Government Engineering College, Barton Hill
Government_Engineering_College,_Barton_Hill
High-area shapes can shift to hold many grid points
candidate for a collision-resistant cryptographic hash function. Dot planimeter, a device for estimating the area of a shape by counting the lattice points
Blichfeldt's_theorem
of determinants implied by the system. This rule is still standard.] Planimeter by Jakob Amsler-Laffon. Artificial hip joint (Sulzer joint, by Maurice
List of Swiss inventions and discoveries
List_of_Swiss_inventions_and_discoveries
Early computer
on display at the Bradbury Science Museum in Los Alamos, New Mexico. Planimeter Neutrons Nuclear fission Computer simulation What is the FERMIAC or Fermi
FERMIAC
Danish mathematician (1839–1910)
to produce and sell. In 1887 Petersen had constructed another model; a planimeter which was presented to the Royal Danish Academy of Science and Letters
Julius_Petersen
Mechanical graphing calculator for solving differential equations
that are equally spaced at a distance of π/2. Mathematical instrument Planimeter Coriolis, G. (1836). "Note sur un moyen de tracer des courbes données
Integraph
Learned society in Scotland
of Edinburgh. Recipients have included: 1865: Arthur Beverly, for his planimeter David Stevenson (1815–1886), civil engineer c. 1890: William Galt Black
Royal Scottish Society of Arts
Royal_Scottish_Society_of_Arts
manage, educate and train others. Abney Clinometer with carrying case Planimeter Lithograph Needles and Sharpening Stone Spare Glasses Surveying Antique
Surveying and Spatial Sciences Institute
Surveying_and_Spatial_Sciences_Institute
English inventor (1829–1909)
Instruments of Precision (UK Patent 1892 number 14,934) 1894: Improvements in Planimeters (UK Patent 1894 number 13,567) 1895: Improvements in Surveyor's Levels
William_Stanley_(inventor)
and calculating devices including rulers, protractors, pantographs, planimeters, integrators, and slide rules Mechanical linkages, pantographs, four-bar
How_Round_Is_Your_Circle?
Municipality in Isabela, Philippines
used in the old town plan of Quezon and was validated by using a digital planimeter. With this figure, Quezon is the 13th largest of the 34 municipalities
Quezon,_Isabela
German mathematician (1840–1918)
directed a Laboratory of Mechanics which included calculating machines, planimeters, moment integrators, and a harmonic analyzer. Henrici was impressed by
Olaus_Henrici
Scottish mathematician and civil engineer
Sang (1809-1887) was a brother of Edward Sang. In 1851, he invented a planimeter which he called "platometer." In 1836, Sang explained how a spinning top
Edward_Sang
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
Lake in Poland
lake's water mirror is 2.28 square kilometers, while A. Choiński, using a planimeter on maps at a scale of 1:50,000, determined the lake's size to be 2.23
Chłop_Lake
product range comprised optical, navigational, and surveying instruments, planimeters and equipment for telegraphy. A Cornelius Knudsen barometer in the National
Cornelius_Knudsen
PLANIMETER
PLANIMETER
PLANIMETER
PLANIMETER
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Marathi, Oriya, Telugu
King
Female
Egyptian
, the daughter of an unidentified king.
Boy/Male
Indian, Punjabi, Sikh
Truthful Service
Boy/Male
Hindu, Indian, Tamil
Regard
Boy/Male
Indian, Sanskrit
Swift; Lightning
Girl/Female
Hindu, Indian, Jain
Desire
Male
Irish
Variant spelling of Irish Gaelic FeichÃn, FECHÃN means "little raven."
Boy/Male
Indian, Sanskrit
Bird; Lion
Female
English
Variant spelling of English Tricia, TRISHA means "patrician, of noble descent."Â
Girl/Female
Latin
From the forest.
PLANIMETER
PLANIMETER
PLANIMETER
PLANIMETER
PLANIMETER
n.
See Planimeter.
n.
An instrument for measuring the area of any plane figure, however irregular, by passing a tracer around the bounding line; a platometer.