File:01 Siebzehneck-1818.svg
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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 |
 Heptadecagon, continuation of the basic construction from 1818, with addition of OK as a mean proportional between OH and OQ, animation |
| SVG development |
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
- ↑ a b Universität Magdeburg A.14 Mittelwerte. Mittlere Proportionale, Seite 2, Punkt u. Bild: b) (PDF-Datei) abgerufen am 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; accessdate 30. April 2017
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:52, 18 April 2024 | | 796 × 782 (49 KB) | Petrus3743 | SVG bereinigt |
| 18:23, 30 April 2017 |  | 747 × 733 (164 KB) | Petrus3743 | ohne Hintergrundfarbe | |
| 21:24, 29 April 2017 |  | 747 × 733 (165 KB) | Petrus3743 | User created page with UploadWizard |
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