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" If a straight line cut two straight lines so as to make the two interior angles on the same side of it together less than two right angles, these straight lines... "
A new theory of parallels - Página 51
por Lewis Carroll - 1890
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...PROP. 5. If two straight lines AB, CD be cut by a third ACE so as to make the interior angles BAC, ACD, on the same side of it, together less than two right angles ; AB and CD being produced shall meet one another towards the parts on which are the two angles which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...V. IF two straight lines AB, CD be cut by a third ACE, so as to make the interior angles BAC, ACD, on the same side of it, together less than two right angles; AB and CD being produced, shall meet one another towards the parts on which are the two angles, which...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 páginas
...that which is the 12th in this, is, that " if •' a right line, falling on two right lines, make the two interior * ' * " angles on the same side of it. together less than two right " angles ; these right lines may be so produced, towards the part, " on which the interior angles are less than...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...V. If two straight lines, AB, CD be cut by a third ACE, so as to make the interior angles BAC, ACD, on the same side of it, together less than two right angles ; AB and CD being produced, shall meet one another towards the parts on which are the two angles, which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...V. IF two straight lines AB, CD, be cut by a third ACE, so as to make the interior angles BAG, ACD, on the same side of it together less than two right angles ,- AB and CD being produced shall meet one another towards the parts on which are the two angles which...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 páginas
...DEMONSTRATION OF AXIOM 12.* IF a straight line meeting two other straight lines in the same plane, make the two interior angles on the same side of it together less than two right angles, these straight lines will at length meet on that side, if they be continually produced. Let the straight...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 páginas
...DEMONSTRATlON OF AXlOM 12.*— If a straight line meeting two other straight lines in the same plane, make the two interior angles on the same side of it together less than two right angles, these straight lines will at length meet on that side, if they be continually produced. Let the straight...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...less than two right angles : But if a straight line falls upon two straight lines, so as to make the two interior angles on the same side of it together less than two right angles, these straight lines, being produced, shall meet (Ax. 12) ; therefore the straight lines AB, CD, if...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Libro 1

Euclides - 1853 - 334 páginas
...— 1 5- jf" * 3. — To BK. I. PEOP. A. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it together less than two right angles : then these two straight lines, being continually produced, shall at length meet on that side of the cutting...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 páginas
...called upon to receive as true ; viz., that if a straight line, crossing a pair of lines, make the two interior angles, on the same side of it, together less than two right angles, the pair crossed shall be meeting-lines. This is the twelfth axiom, and is thus expressed in Euclid...
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