 | Rev. John Allen - 1822 - 508 sider
...of 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... | |
 | Euclid, James Thomson - 1837 - 410 sider
...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... | |
 | Euclides - 1842 - 316 sider
...be drawn from a converse of the twenty-eighth proposition of the first book, where it is shown that if a straight line falls upon two other straight lines, and makes the sum of the two interior angles upon the same side equal to two right angles, the two straight lines... | |
 | Euclid, James Thomson - 1845 - 382 sider
...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... | |
 | Euclides - 1846 - 292 sider
...are 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... | |
 | William Somerville Orr - 1854 - 534 sider
...to be 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... | |
 | Euclides - 1871 - 136 sider
...angles. The sixth postulate asserts that if a line DE meeting two other lines BM, CN makes MOP, NPO, the two interior angles on the same side of it, together less than two right angles, BM and CN shall meet if produced on the same side of DE on which are the angles M OP and NPO. Thus... | |
 | Octave Delepierre - 1872 - 342 sider
...superficies had hitherto kept them asunder; but this was no longer to be : a Une had intersected them, making the two interior angles, on the same side of it, together less than two right angles. It was a moment never to be forgotten, and, as they journeyed on, a whisper thrilled along the superficies... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...right The sixth postulate asserts that if a line DE meeting two other lines BM, CN makes MOP, NPO, the two interior angles on the same side of it, together less than two right angles, BM and CN shall meet if produced on the same side of DE on whieh are the angles MOP and NPO. Thus Postulate... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...if they coincide for any portion of their length.J XII. If two straight lines meet a third, and make the two interior angles on the same side of it together less than two right angles, those lines will meet if produced. C. If part of one bounded figure (and part only) bo inside another... | |
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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... 
