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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. "
Introduction and books 1,2 - Страница 188
написао/ла Euclid - 1908
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 страница
...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 (5. Post.) together if continually produced; 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 ...

Euclid, James Thomson - 1845 - 382 страница
...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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 страница
...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 ...

Euclides - 1845 - 546 страница
...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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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 страница
...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 sum of...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 страница
...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 страница
...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 the sum...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 страница
...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,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 страница
...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 (12 Ax.) together if continually produced ; therefore the straight lines AB, CD, if produced...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 страница
...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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