File:01 Siebzehneck-1818.svg

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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
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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
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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]

  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

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