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الكتب الكتب 11 - 20 من 189 فيThat, if a straight line falling on two straight lines make the interior angles on....
" 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. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 179
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...are less than two right angles; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right * 12 Ax. angles meet,* if far enough produced; therefore the straight lines AB, CD, if produced far...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...&c. is made to depend upon an assumption that, if a line falling upon two other lines makes with them the interior angles on the same side less than two right angles, those lines must meet if produced. Now this is evidently a theorem which ought to have been previously...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Robert Simson - 1845 - عدد الصفحات: 199
...is greater than the angle GHD, add to each of them the angle BGH ; therefore the angles AGH, falling upon them, make the interior angles on the same side less than two right angles, do meetJ together if con- I « AX. tinually produced ; therefore the straight lines AB, CD, if produced...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...are less than two right angles ; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, will meet together if continually produced ; (ax. 12.) therefore the straight lines AB, CD, if produced...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - 1845 - عدد الصفحات: 358
...than two right angles. But (I. ax. 12) those straight lines, which with another straight line falling upon them, make the interior angles on the same side less than two right angles, meet together, if continually produced : therefore the straight fines AB, CD, if produced far enough,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...it together less than two right angles, these straight lines, being produced, shall meet (Ax. 12) ; therefore the straight lines AB, CD, if produced far...meet — but they never meet, since they are parallel (Hyp.) : Therefore the angle AGH is not unequal to the angle GHD, that is, it is equal to it : But...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849 - عدد الصفحات: 108
...are less than two right angles; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, do meet (Ax. 12.) together if continually produced; therefore the straight lines AB, CD, if produced far enough,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - عدد الصفحات: 359
...angles. PROPOSITION XXI. THEOREM. If a straight line meet two other straight lines, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Letthe line EFmeet the two lines CD, IH, making the...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...are less than two right angles; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, do meet together if continually produced; therefore the straight lines AB, CD, if produced far enough, shall...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...obtuse angles. PROPOSITION XXI. THEOEEM. If two straight lines meet a third line, raaking tlie sum of the interior angles on the same side less than two right angles^ the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making...
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