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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 Teaching of Geometry - الصفحة 125
بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339
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The Penny Cyclopædia of the Society for the Diffusion of Useful Knowledge

1835 - عدد الصفحات: 588
...Also, if a straight line, falling upon two straight lines, make the angles which are within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than...

The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., المجلد 3

Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - عدد الصفحات: 564
...Also, if a straight line, falling upon two straight lines, make the angles which are within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than...

The Penny Cyclopædia of the Society for the Diffusion of Useful ..., المجلد 3

1835 - عدد الصفحات: 566
...Also, if a straight line, falling upon two straight lines, make the angles which we within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than...

The Dublin Review, المجلد 11

Nicholas Patrick Wiseman - 1841 - عدد الصفحات: 618
...[from that centre] to draw a circle. 4. And that all right angles are equal to one another. 5. And that if a straight line falling on two straight lines make the angles within and towards the same parts less than two right angles, those two straight lines produced...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - عدد الصفحات: 176
...other two. COR. — If a straight line meeting two other straight lines make the two interior angles on the same side less than two right angles, the two straight lines, if produced, will meet on that side on which are the angles less than two right angles. If L KFG + L FGC are < 2...

Introduction and books 1,2

Euclid - 1908 - عدد الصفحات: 550
...opposite angle : which is impossible. Proclus next (p. 308, 14 sqq.) undertakes to prove by means of i. 16 that, if a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle, the tu<o straight lines will not form a triangle...

The Science-history of the Universe, المجلد 8

Francis Rolt-Wheeler - 1909 - عدد الصفحات: 368
...the hе taree cases are stated че= in reates Œ baa ï Zl :ie Tt» fat :,x-fe. :• :-e Ï 1Г."." 5. 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,...

Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - عدد الصفحات: 436
...hoheren Standpunkte aus (Leipzig, 1909), Bd. 2, p. 884. 2007. Euclid's Postulate 5 [The Parallel Axiom]. 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,...

The Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - عدد الصفحات: 588
...The fourth asserts the equality of all right angles, and the fifth is the famous ParaDelPcetulate : " If a straight line falling on two straight lines make the interior angles on the same side less than two right ingles, the two straight lines, if produced indefinitely,...

The Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - عدد الصفحات: 291
...fourth asserts the equality of all right angles, and the fifth is the famous ParallelPosfculate : " 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,...




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