 | Robert Simson - 1806 - 546 Seiten
...enclose a space. 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 side of it taken together " less than two right angles, these straight lines being con" tinually produced, shall... | |
 | Dugald Stewart - 1814 - 582 Seiten
...occur in Euclid's Elements. When it is asserted, for example, that ** if " one straight line falls on two other straight lines, so as to make " the two interior angles on the same side together equal to two " right angles, these two straight lines, though indefinitely pro" duced, will... | |
 | Euclides - 1816 - 588 Seiten
...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... | |
 | John Playfair - 1819 - 350 Seiten
...the llth is accounted the 10th. rfhe 12th Axiom of Euclid is, that " 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, these straight " lines being continually produced, shall... | |
 | Dugald Stewart - 1821 - 348 Seiten
...occur in Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make :' the two interior angles on the same side together equal to tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight... | |
 | Rev. John Allen - 1822 - 508 Seiten
...instead 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...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 two... | |
 | Rev. John Allen - 1822 - 516 Seiten
...in this, is, that " if " a right line, falling on two right lines, make the two interior " angles OH 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 two... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...cannot inclose a space. 11. AH right angles are equal to one another. 12." 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, these straight lines being continually produced, shall at... | |
 | 1826 - 628 Seiten
...Consequently, all elementary treatises are defective in this point. Proposition. If a straight line meets two straight lines so as to make the two interior angles on the same side less than two right angles, these straight lines being continually produced, will at length meet upon... | |
 | John Radford Young - 1827 - 246 Seiten
...proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. : If a straight line meet two straight lines so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines being continually produced shall at... | |
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If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
