Tasuta kohaletoimetamine tellimustele üle 29 €
  • check 10+ miljonit raamatut
  • check Uued tooted iga päev
  • check Meid usaldab üle 1 miljoni kliendi
  • check Hea hind ja allahindlused
  • check Tarne üle kogu Euroopa

Hjelmslevs Theorem: Geometry, Euclidean Plane Isometry, Parallel Postulate -

inglise keel
2026-03-17
117,44 € 195,73 €

-40% koodiga BOOKS

Meie tarnija laos

Saadetis 15-21 tööpäeva jooksul

30-päevane tagastamisõigus

High Quality Content by WIKIPEDIA articles! In geometry, Hjelmslev's theorem, named after Johannes Hjelmslev, is the statement that if points P, Q, R... of one and the same line are isometrically mapped to points P', Q', R'... of another line in the same plane, then the midpoints of the segments PP', QQ', RR'... also lie on one and the same line. The proof is easy if one assumes the classification of plane ... Täielik kirjeldus

Võib-olla meeldib sulle ka

Kirjeldus

High Quality Content by WIKIPEDIA articles! In geometry, Hjelmslev's theorem, named after Johannes Hjelmslev, is the statement that if points P, Q, R... of one and the same line are isometrically mapped to points P', Q', R'... of another line in the same plane, then the midpoints of the segments PP', QQ', RR'... also lie on one and the same line. The proof is easy if one assumes the classification of plane isometries. If the given isometry is odd, in which case it is necessarily either a reflection in a line or a glide-reflection (the product of three reflections in a line and two perpendiculars to it), then the statement is true of any points in the plane whatsoever: the midpoint of PP' lies upon the axis of the (glide-)reflection for any P. If the isometry is even, compose it with reflection in line PQR to obtain an odd isometry with the same effect on P, Q, R... and apply the previous remark.

Lisateave

Kirjastaja OmniScriptum
Väljalaskeaasta 2026
Kaanetüüp Pehme kaanega
EAN 9786131167591
Kirjuta oma arvustus
Te vaatate: Hjelmslevs Theorem: Geometry, Euclidean Plane Isometry, Parallel Postulate
Teie hinnang:

Goodreads'i arvustused

117,44 € 195,73 €