• 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...
    11 KB (1,571 words) - 07:00, 23 May 2025
  • Thumbnail for Dot planimeter
    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...
    10 KB (1,040 words) - 01:56, 17 December 2024
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    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...
    140 KB (14,125 words) - 22:38, 11 July 2025
  • including angles, distances, and areas. To measure planimetrics a planimeter or dot planimeter is used. This rather advanced analog technology is being taken...
    2 KB (238 words) - 17:09, 1 June 2024
  • the plane region D bounded by C, is applied in an instrument known as a planimeter, which is used to calculate the area of a flat surface on a drawing. For...
    76 KB (8,805 words) - 00:56, 6 July 2025
  • Thumbnail for Jakob Amsler-Laffon
    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...
    4 KB (507 words) - 20:00, 25 April 2025
  • Thumbnail for Integral
    two-dimensional shape can be determined using a measuring instrument called planimeter. The volume of irregular objects can be measured with precision by the...
    69 KB (9,288 words) - 03:06, 30 June 2025
  • Thumbnail for William F. Durand
    mathematically describing a radial planimeter for averaging values plotted in polar coordinates. Originally a radial planimeter was of academic interest only...
    37 KB (4,244 words) - 16:28, 17 June 2025
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    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...
    57 KB (7,061 words) - 22:44, 22 July 2025
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    doi:10.1080/13562570500305052. ISSN 1356-2576. S2CID 143638751. "ACME Planimeter". Archived from the original on 1 October 2005. Retrieved 27 February...
    216 KB (20,327 words) - 18:58, 22 July 2025
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    outwit his imitators; he also refused to disclose the origin of the word. Planimeter Steinhaus longimeter Surveyor's wheel Gerard L'Estrange Turner, Scientific...
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  • 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...
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    see Green's theorem § Area calculation.) This is the principle of the planimeter mechanical device. To find the bounded area between two quadratic functions...
    43 KB (5,365 words) - 07:16, 30 April 2025
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    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...
    49 KB (6,702 words) - 16:43, 21 July 2025
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    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...
    20 KB (2,339 words) - 01:48, 17 December 2024
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    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...
    127 KB (13,640 words) - 19:33, 17 July 2025
  • Thumbnail for Yamaha YZF-R15
    lamp, inverted front suspension fork, all-LED lighting system, full LCD planimeter with shift indicator and wider tyros. A streetfighter variation of the...
    13 KB (1,434 words) - 07:55, 18 July 2025
  • Thumbnail for Gauss circle problem
    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...
    11 KB (1,634 words) - 21:23, 12 July 2025
  • intelligence by pondering how to adapt the underlying principles of the planimeter to inputting X- and Y-coordinate data, and envisioned something like the...
    23 KB (2,849 words) - 01:24, 26 June 2025
  • instruments such as naval gun directors, flow totalizers and others. A planimeter is a mechanical device used for calculating the definite integral of a...
    9 KB (1,037 words) - 15:04, 24 May 2025
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    _{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...
    26 KB (4,241 words) - 20:14, 30 June 2025
  • (Germany): Adalbert Rente, 1867); see pages 8–9. Mathematics portal Planimeter – Tool for measuring area Method of image charges – A method used in electrostatics...
    23 KB (4,079 words) - 14:46, 30 June 2025
  • Thumbnail for Shoelace formula
    dA={\frac {1}{6}}\left\|\sum _{F}v_{1}\wedge v_{2}\wedge v_{3}\right\|} Planimeter Polygon area Pick's theorem Heron's formula Mathologer video about Gauss's...
    17 KB (3,779 words) - 02:45, 13 May 2025
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    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...
    36 KB (4,872 words) - 09:11, 30 June 2025
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    Several examples of analog computation survived into recent times. A planimeter is a device that does integrals, using distance as the analog quantity...
    59 KB (6,610 words) - 12:49, 17 July 2025
  • Thumbnail for Slide rule scale
    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....
    26 KB (1,750 words) - 22:36, 28 January 2025
  • 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...
    29 KB (4,612 words) - 18:48, 17 June 2025
  • Thumbnail for Carl Bamberg
    In 1871 he founded his own company, manufacturing cathetometers and planimeters. He manufactured equatorial telescopes for the Düsseldorf Observatory...
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  • greatly improved accuracy of divisions on measuring and mathematical scales Planimeter, a device for measuring area The Construction and Principal Uses of Mathematical...
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  • Thumbnail for Keuffel and Esser
    calculating products. Among them were drafting kits and supplies, transits, planimeters, pocket and desk calculators, and fraction adders. By 1930 the K&E catalogue...
    11 KB (1,072 words) - 17:12, 20 June 2025