Jump to content

File:01 Siebzehneck-1818.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 796 × 782 pixels, file size: 49 KB)

Summary

Description
Deutsch: Siebzehneck, Weiterführung der Basiskonstruktion aus dem Jahr 1818, mit Ergänzung von OK als mittlere Proportionale von OH und OQ
English: Heptadecagon, continuation of the basic construction from 1818, with addition of OK as a mean proportional between OH and OQ
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
Siebzehneck, Weiterführung der Basiskonstruktion aus dem Jahr 1818, mit Ergänzung von OK als mittlere Proportionale von OH und OQ, Animation

Heptadecagon, continuation of the basic construction from 1818, with addition of OK as a mean proportional between OH and OQ, animation
SVG development
InfoField
 
The SVG code is valid.
 
This trigonometry was created with GeoGebra by Petrus3743.
 
This SVG trigonometry uses the path text method.

Konstruktionsbeschreibung (deutsch)

(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)

(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

  1. a b Universität Magdeburg A.14 Mittelwerte. Mittlere Proportionale, Seite 2, Punkt u. Bild: b) (PDF-Datei) abgerufen am 30. April 2017
  2. 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; accessdate 30. April 2017

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

29 April 2017

image/svg+xml

fa8b0a98b9499ce027f6129db0b7d628f7042777

49,970 byte

782 pixel

796 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current19:52, 18 April 2024Thumbnail for version as of 19:52, 18 April 2024796 × 782 (49 KB)Petrus3743SVG bereinigt
18:23, 30 April 2017Thumbnail for version as of 18:23, 30 April 2017747 × 733 (164 KB)Petrus3743ohne Hintergrundfarbe
21:24, 29 April 2017Thumbnail for version as of 21:24, 29 April 2017747 × 733 (165 KB)Petrus3743User created page with UploadWizard

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata