 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...straight lines being continually prolonged, shall at length meet on that side of the other straight line on which are the angles which are together less than two right angles. Let the two straight lines AB and CD which are in the same plane, be met by the straight line AC ;... | |
 | Euclid - 1835 - 540 pages
...XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as to " make the two interior angles on the same...upon that " side on which are the angles which are less than two right " angles. See the notes on Prop. 29. of Book I." PROPOSITION I. PROBLEM. To describe... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
..." if a straight line meets two straight "lines, so as to make the two interior angles on the•same side of it taken " together less than two right angles,...upon that side on which are the angles " which are leas than two right angles." Instead of this proposition, which, though true, is by no means self-evident... | |
 | John Playfair - Geometry - 1836 - 148 pages
...each other (Cor. 11. 2.), BC will then meet AB. Therefore, if a straight line meet two straight lines, so as to make the two interior angles on the same...upon that side on which are the angles, which are less thau two right angles. Which was to be proved. i PROP. XIV. THEOR. Parallelograms of equal base... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...of Euclid is, that " if a straight line " meets two straight lines, so as to make the two inte" rior angles on the same side of it taken together less " than two right angles, these straight lines oeing con" tinually produced, shall at length meet upon that side " on which are the angles which are... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...this proposition has been demonstrated by some writers in the following manner •. the same plane, so as to make the two interior angles on the same...together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.* PROPOSITION I. PROBLEM.f To... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...showing that the alternate Zs AGK, GKD are equal. PROPOSITION. " If a right line meet two right lines, so as to make the two interior angles on the same...it taken together less than two right angles, these right lines being continually produced, shall at length meet on that side on which are the angles which... | |
 | Euclides - 1838 - 264 pages
...and which he calls an Axiom, is as follows. AXIOM XII. If a straight line meets two straight lines so as to make the two interior angles, on the same...meet upon that side on which are the angles which are less than two right angles. It is readily seen that this proposition is no other than the converse... | |
 | Euclid - Geometry - 1838 - 470 pages
...All right angles arc equal to one another. XII. •• If a straight line meet two straight lines, so as to make the two " interior angles on the same...right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...space, XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to make the two . " interior angles on the same...right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right... | |
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If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
