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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. "
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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 (Ai. 12.) together if continually produced ; therefore 3. The straight lines AB, CD, shall...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...two right angle* : but straight lines vhich with another straight line make the interior angles upon the same side less than two right angles, do meet (12 Ax.) if produced far enough ; therefore EB, FD shall meet, if produced, towards B, D : let them meet in...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...two right angles; but straight lines which with another straight line make the interior angles upon the same side less than two right angles, do meet (12 ax.) if produced far enough : therefore eb, fd shall meet if produced towards b, d : let them meet in g,...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - عدد الصفحات: 432
...obtuse angles. PROPOSITION XXI. THEOREM. If two straight lines meet a third line, making the 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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...be 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, must meet...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...be 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, must meet...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - عدد الصفحات: 455
...PROPOSITION XXI. THEOREM. ' If two straight lines intersect a third straight line, making the 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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The acting teacher's and student's in training guide and text book for ...

Henry Major - 1873
...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: From the Works of A.M. Legendre

1874 - عدد الصفحات: 455
...PROPOSITION X2I. THEOREM. If two straight lines intersect a third straight line, making the 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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...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 "oduced ; therefore the straight lines AB, CD, if oduced far enough, shall...
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