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" FIG. 1. which do not cut DC, how far soever they may be prolonged. In passing over from the cutting lines, as AF, to the not-cutting lines, as AG, we must come upon a line AH, parallel to DC, a boundary line, upon one side of which all lines AG are such... "
Geometrical Researches on the Theory of Parallels - Σελίδα 3
των Nikolaĭ Ivanovich Lobachevskiĭ - 1891 - 50 σελίδες
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Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical ...

John William Withers - 1905 - 224 σελίδες
...which does not meet CD, we may assume it to be possible that there are other lines, for example AG, which do not cut DC, how far soever they may be prolonged. In passing over then from the cutting lines, as AF, to the noncutting, as AG, we must come upon a line AH parallel...

Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical ...

John William Withers - 1905 - 216 σελίδες
...which does not meet CD, we may assume it to be possible that there are other lines, for example AG, which do not cut DC, how far soever they may be prolonged. In passing over then from the cutting lines, as AF, to the noncutting, as AG, we must come upon a line AH parallel...

Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola - 1955 - 452 σελίδες
...not meet DC, we will assume it may be possible that there are still other lines, for example AG, Fia. 1. which do not cut DC, how far soever they may be...AG, we must come upon a line AH, parallel to DC, a houndary line, upon one side of which all lines AG are such as do not meet the line DC, while upon...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 292 σελίδες
...does not meet DC, we will assume it may be possible that there are still other lines, for example AC, which do not cut DC, how far soever they may be prolonged. In passing over from the cutting lines, asAF, to the non-cutting lines, as AG, we must come upon a line AH, parallel to DC, a boundary line,...
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