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" 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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 19
av Royal Military Academy, Woolwich - 1853
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Mathematical Philosophy: A Study of Fate and Freedom; Lectures for Educated ...

Cassius Jackson Keyser - 1922 - 466 sider
...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...
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MATHEMATICAL PHILOSOPHY A STUDY OF FATE AND FREEDOM Lectures for Educated Laymen

CASSIUS J. KEYSER, Ph.D., LL.D. - 1925
...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...
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Studies in Non-Euclidian Geometry

Carolyn Soward Armentrout - 1925 - 100 sider
...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...
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Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola - 1955 - 389 sider
...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...
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An Introduction to Logic

Morris Raphael Cohen, Morris R. Cohen, Ernest Nagel - 1993 - 232 sider
...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...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 298 sider
...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...
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Mathematics: A Concise History and Philosophy: A Concise History and Philosophy

W.S. Anglin - 1994 - 261 sider
...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...
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The 'Arabick' Interest of the Natural Philosophers in Seventeenth-Century ...

G. A. Russell - 1994 - 320 sider
...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...
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Geometry from a Differentiable Viewpoint

John McCleary, John Mac Cleary - 1994 - 308 sider
...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...
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On the Shoulders of Giants

Lines M E - 1994 - 296 sider
...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,...
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