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 Books Bücher That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. The first six books of the Elements of Euclid, with numerous exercises - Seite 21
von Euclides - 1853 - 147 Seiten
Vollansicht - Über dieses Buch ## MATHEMATICAL PHILOSOPHY A STUDY OF FATE AND FREEDOM Lectures for Educated Laymen

...single utterance in the history of science. It is this: // a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines', if produced indefinitely, meet on that side on which are the angles less than...
Vollansicht - Über dieses Buch ## Studies in Non-Euclidian Geometry

Carolyn Soward Armentrout - 1925 - 100 Seiten
...upon his fifth postulate which states that: "If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles the two straight lines if produced indefinitely meet on that side on which the angles are less than...
Vollansicht - Über dieses Buch ## Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola - 1955 - 389 Seiten
...he makes use of the following Postalate (V.): Jf a straight lin-e falling on two straight lines mahe the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
Eingeschränkte Leseprobe - Über dieses Buch ## The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 298 Seiten
...paragraph introducing the Common Notions below. 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles [in sum], the two straight lines, if produced indefinitely, meet on that side on which are the angles...
Eingeschränkte Leseprobe - Über dieses Buch ## An Introduction to Logic

Morris Raphael Cohen, Morris R. Cohen, Ernest Nagel - 1993 - 232 Seiten
...is impossible. "Similarly (2) we can show that the straight line falling on the parallels does not make the interior angles on the same side less than two right angles. "But (3), if it makes them neither greater nor less than two right angles, it can only make the interior...
Eingeschränkte Leseprobe - Über dieses Buch ## Mathematics: A Concise History and Philosophy: A Concise History and Philosophy

W.S. Anglin - 1994 - 261 Seiten
...fifth postulate is the famous Parallel Postulate: if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
Eingeschränkte Leseprobe - Über dieses Buch ## The 'Arabick' Interest of the Natural Philosophers in Seventeenth-Century ...

G. A. Russell - 1994 - 320 Seiten
...fifth postulate, the postulate of parallels: 'That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
Eingeschränkte Leseprobe - Über dieses Buch ## Geometry from a Differentiable Viewpoint

John McCleary, John Mac Cleary - 1994 - 308 Seiten
...last of his assumptions. Postulate V. That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
Eingeschränkte Leseprobe - Über dieses Buch ## On the Shoulders of Giants

Lines M E - 1994 - 296 Seiten
...original form as follows: 5. If a straight line falling across two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines intersect, if sufficiently extended, on that side. This implies, in particular,...
Eingeschränkte Leseprobe - Über dieses Buch ## The Heritage of Thales

W.S. Anglin, J. Lambek - 1998 - 331 Seiten
...should be listed as an axiom instead. V. That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
Eingeschränkte Leseprobe - Über dieses Buch