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" EE' the perpendicular to AD. Upon the other side of the perpendicular EE' will in like manner the prolongations AH' and AK' of the parallels AH and AK likewise be parallel to BC; the remaining lines pertain, if in the angle K'AH', to the intersecting,... "
Geometrical Researches on the Theory of Parallels - Seite 4
von Nikolaĭ Ivanovich Lobachevskiĭ - 1891 - 50 Seiten
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The Monist, Band 19

Paul Carus - 1909 - 682 Seiten
...the parallels AH and AK, in the opening of the two angles EAH = $7r— H(p), E'AK = Jir — H(/»). between the parallels and EE' the perpendicular to...non-intersecting. "In accordance with this, for the assumption n(£)=-|ir the lines can be only intersecting or parallel ; but if we assume that n(/>)< |TT, then...
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Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola - 1955 - 452 Seiten
...of the parallels AH and AK, in the opening of the two angles EAH = -jx — fl (p), E'AK = \ r — fl (p), between the parallels and EE' the perpendicular...non-intersecting. In accordance with this, for the assumption 77 (p) = $~- the lines can be only intersecting or parallel ; but if we assume that fl (p) < £ rr,...
Eingeschränkte Leseprobe - Über dieses Buch

Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 292 Seiten
...sides of the parallels AH and AK, in the opening of the two angles EAH = ±n - U(p), E'AK = \n - T\(p), between the parallels and EE' the perpendicular to AD. Upon the other side of the perpendicular ££" will in like manner the prolongations^//' and^A:' of the parallels^// and AK likewise be parallel...
Eingeschränkte Leseprobe - Über dieses Buch

Excursions Into Mathematics: The Millennium Edition

Anatole Beck, Michael N. Bleicher, Donald Warren Crowe - 2000 - 499 Seiten
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Excursions Into Mathematics:Millennium Edn.

Anatole Beck - 532 Seiten
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Keine Leseprobe verfügbar - Über dieses Buch




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