File:01 Siebzehneck-1818-Animation.gif
01_Siebzehneck-1818-Animation.gif (744 × 539 pixels, file size: 62 KB, MIME type: image/gif, looped, 31 frames, 1 min 39 s)
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Summary
[edit]Description01 Siebzehneck-1818-Animation.gif |
Deutsch: Siebzehneck, Weiterführung der Basiskonstruktion aus dem Jahr 1818, mit Ergänzung von OK als mittlere Proportionale von OH und OQ, Animation
English: Heptadecagon, continuation of the basic construction from 1818, with addition of OK as a mean proportional between OH and OQ, animation |
Date | |
Source | Basic construction: T. P. Stowell of Rochester, N. Y., The Analyst: A Monthly Journal of Pure And Applied Mathematicus Vol.1, p. 94–95 |
Author | Basic construction: T. P. Stowell, derivative work: continuation of the basic construction Petrus3743 |
Other versions |
Konstruktionsbeschreibung (deutsch)
[edit](Freie Übersetzung der Beschreibung)
T. P. Stowell of Rochester, N. Y. schreibt:
„Um ein regelmäßiges Polygon von siebzehn Seiten im Kreis zu konstruieren. Zeichnen Sie den Radius CO rechtwinklig zum Durchmesser AB: Für OQ nehmen Sie die Hälfte von OC und für OD den achten Teil vom Radius OB: Nehmen Sie für DE und für DF jeweils gleich DQ, für EG gleich EQ und FH gleich FQ; für OK nehmen Sie die mittlere Proportionale zwischen OH und OQ[1] und ziehen Sie KM durch K parallel zu AB, KM trifft in M auf den über OG beschriebenen Halbkreis; zeichnen Sie MN parallel zu OC, MN schneidet den gegebenen Kreis in N - der Bogen AN ergibt den siebzehnten Teil des ganzen Umfangs.”[2]
Construction description (english)
[edit](Original text)
T. P. Stowell of Rochester, N. Y. writes:
"To construct a regular polygon of seventeen sides in a circle. Draw the radius CO at right-angles to the diameter AB: On OC and OB, take OQ equal to the half, and OD equal to the eighth part of the radius: Make DE and DF each equal to DQ and EG and FH respectively equal to EQ and FQ; take OK a mean proportional between OH and OQ,[1] and through K, draw KM parallel to AB, meeting the semicircle described on OG in M; draw MN parallel to OC, cutting the given circle in N - the arc AN is the seventeenth part of the whole circumference."[2]
Einzelnachweise / References
[edit]- ↑ a b Universität Magdeburg A.14 Mittelwerte. Mittlere Proportionale, Seite 2, Punkt u. Bild: b) (PDF-Datei) accessdate 30. April 2017
- ↑ a b Hendricks, J. E. (1877). "Answer to Mr. Heal's Query; T. P. Stowell of Rochester, N. Y.". The Analyst: A Monthly Journal of Pure And Applied Mathematicus Vol.1: 94–95. Query, by W. E. Heal, Wheeling, Indiana p. 64; abgerufen am 30. April 2017
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 09:28, 10 May 2024 | 744 × 539 (62 KB) | Petrus3743 (talk | contribs) | Anzahl Konstruktionsschritte korr. | |
19:24, 18 April 2024 | 744 × 539 (42 KB) | Petrus3743 (talk | contribs) | Grafikfehler korrigiert | ||
18:25, 30 April 2017 | 793 × 586 (46 KB) | Petrus3743 (talk | contribs) | ohne Hintergrundfarbe und ohne Pause 30 s | ||
21:31, 29 April 2017 | 793 × 586 (54 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
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