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Deutsch: Arbelos-Skulptur in Kaatsheuvel, Niederlande. Künstler: Ruud van de Ven, Best. Durchmesser der drei Bögen (Halbkreise): ca. 24,2 m, 19,3 m und 4,9 m. Durchmesser der Rohre: ca. 32 cm. Originaltext (Niederländisch) auf der Informationstafel: s. u.
English: Arbelos sculpture in Kaatsheuvel, Netherlands. Artist: Ruud van de Ven, Best. Diameters of the three arcs (semicircles): ca. 24.2 m, 19.3 m and 4.9 m. Diameter of the profiles: ca. 32 cm. Original info board text (Dutch): see below.
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[1] drawings, paintings, works of architecture and sculpture, lithographs, engravings and the likes
[2] drafts, sketches and three-dimensional works relating to architecture, geography, topography or other sciences
Note that photographs are not included in Item 6. They are separately listed at Item 9 and are therefore not covered by FOP.
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Deutsch: Text (Niederländisch) auf der Informationstafel
English: Text (Dutch) on information board
(arbelos - schoenmakersmes)
DIT KUNSTOBJECT IS VERVAARDIGT
IN OPDRACHT VAN HET
PROVINCIAAL BESTUUR VAN NOORD-BRABANT
EN OFFICIEEL ONTHULD OP 19 SEPTEMBER 1990 DOOR
MEVROUW DRS. N. SMIT-KROES
Arbelos: (van Grieks: arbelos = schoenmakersmes):
Vlakke figuur, begrensd door drie halve cirkels mat middellijnen
AB, AC, CB (C tussen A en B) en aan dezelfde kant van de rechte AB
gelegen (zie afbeelding).
De figuur is het eerst beschreven door Archimedes en de vorm doet
denken aan een schoenmakersmes. Enkele merkwaardige eigenschappen
van deze figuur zijn:
1. de omtrek van de arbelos is gelijk aan de omtrek van de cirkel
met middellijn AB.
2. de oppervlakte van de arbelos is gelijk aan die van de cirkel
met middellijn CD, waarbij D het snijpunt is van de loodlijn in
C op AB met de halve cirkel op AB.
3. zijn P en Q de raakpunten van de gemeenschappelijke raaklijn
aan de beide halve cirkels op AC en CB, dan vormen P, Q, C en D
de hoekpunten van een rechthoek.
4. de punten A, P en D liggen op en rechte, evenals de punten B,
Q en D.
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