File:Apollonius- NMAH-2008-2484.jpg
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Summary
Author |
Crockett Johnson |
Description |
English: Painting. "Polar Line of a Point and a Circle (Apollonius)," by Crockett Johnson. 1979.1093.26.DESCRIPTION
In 1966, Crockett Johnson carefully read Nathan A. Court's book College Geometry, selecting diagrams that he thought would be suitable for paintings. In the chapter on harmonic division, he annotated several figures that relate to this painting. The work shows two orthoganol circles, that is to say two circles in which the square of the line of centers equals the sum of the squares of the radii. A right triangle formed by the line of centers and two radii that intersect is shown. The small right triangle in light purple in the painting is this triangle. Crockett Johnson's painting combines a drawing of this triangle with a more complex figure used in a discussion of further properties of lines drawn in orthoganal circles. In particular, suppose that one draws a line segment from a point outside a circle that intersects it in two points, and selects a fourth point on the line that divides the segment harmonically. For a single exterior point, all these such points lie on a single line, perpendicular to the line of centers of the two circles, which is called the polar line. The painting is #38 in the series. It has a background in two shades of cream, and a light tan wooden frame. It shows two circles that overlap slightly and have various sections. The circles are in shades of blue, purple and cream. The painting is signed: CJ66. References: Nathan A. Court, College Geometry (1964 printing), p. 175–78. This volume was in Crockett Johnson's library. T. L. Heath, ed., Apollonius of Perga: Treatise on Conic Sections (1961 reprint). This volume was not in Crockett Johnson's library. |
Date |
1966 date QS:P571,+1966-00-00T00:00:00Z/9 |
Source/Photographer | http://americanhistory.si.edu/collections/search/object/nmah_694650 |
Licensing
Public domainPublic domainfalsefalse |
This work is in the public domain in the United States because it was published in the United States between 1929 and 1977, inclusive, without a copyright notice. For further explanation, see Commons:Hirtle chart as well as a detailed definition of "publication" for public art.
Note that it may still be copyrighted in jurisdictions that do not apply the rule of the shorter term for US works (depending on the date of the author's death), such as Canada (50 p.m.a.), Mainland China (50 p.m.a., not Hong Kong or Macao), Germany (70 p.m.a.), Mexico (100 p.m.a.), Switzerland (70 p.m.a.), and other countries with individual treaties. العربية ∙ беларуская (тарашкевіца) ∙ čeština ∙ Deutsch ∙ Ελληνικά ∙ English ∙ español ∙ français ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ 한국어 ∙ македонски ∙ Nederlands ∙ português ∙ русский ∙ sicilianu ∙ slovenščina ∙ ไทย ∙ Tiếng Việt ∙ 中文(简体) ∙ 中文(繁體) ∙ +/− |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 22:09, 10 February 2015 | 2,000 × 1,528 (1.74 MB) | Ahbeall | User created page with UploadWizard |
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Exposure time | 1/250 sec (0.004) |
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F-number | f/13 |
Date and time of data generation | 09:11, 28 January 2008 |
Lens focal length | 38 mm |
ISO speed rating | 100 |
Camera manufacturer | NIKON CORPORATION |
Camera model | NIKON D2X |
Author | photographer, Harold Dorwin |
Copyright holder |
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Image title |
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Short title |
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Credit/Provider | Harold Dorwin, National Museum of American History, Smithsonian Institution |
Source | National Museum of American History |
Online copyright statement | http://americanhistory.si.edu/about/faqlist.cfm |
Usage terms |
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City shown | Washington, DC |
JPEG file comment | Painting by Crockett Johnson. |
Exif version | 2.21 |
Shutter speed | 7.965784 |
APEX aperture | 7.400879 |
Exposure Program | Manual |
Date and time of digitizing | 09:11, 28 January 2008 |
Exposure bias | 0 |
Maximum land aperture | 3 APEX (f/2.83) |
Metering mode | Pattern |
Light source | Unknown |
Sensing method | One-chip color area sensor |
File source | Digital still camera |
Scene type | A directly photographed image |
Focal length in 35 mm film | 57 mm |
Custom image processing | Normal process |
Exposure mode | Manual exposure |
White balance | Auto white balance |
Scene capture type | Standard |
Scene control | None |
Contrast | Normal |
Saturation | Normal |
Sharpness | Soft |
Subject distance range | Unknown |
Digital zoom ratio | 1 |
Color space | Uncalibrated |
Image width | 3,360 px |
Image height | 2,567 px |
Flash | Flash did not fire |
Serial number of camera | 5001186 |
Lens used | 17.0-55.0 mm f/2.8 |
Width | 3,360 px |
Height | 2,567 px |
Pixel composition | RGB |
Number of components | 3 |
Horizontal resolution | 400 dpi |
Vertical resolution | 400 dpi |
Bits per component |
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File change date and time | 10:45, 6 August 2008 |
Software used | Adobe Photoshop CS2 Windows |
Date metadata was last modified | 06:28, 1 March 2011 |
Keywords |
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Writer | National Museum of American History |
Copyright status | Copyright status not set |
Contact information | NMAHDigitalAssets@si.edu
americanhistory.si.edu Smithsonian InstitutionNational Museum of American History14th St. and Constitution Ave., NW Washington, DC, , 20560 USA |
Country shown | USA |
Sublocation of city shown | National Museum of American History |