| Robert Simson - Trigonometry - 1806 - 546 pages
...cannot 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...taken together " less than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are the... | |
| John Playfair - Mathematics - 1806 - 320 pages
...and opposite. In order to demonstrate this proposition Euclid assumes it as an axiom, Book I. that " if a straight line meet two straight lines, so as to make v^-v^/ " the interior angles on the same side of it less than two right " angles, these straight lines... | |
| Euclid - Geometry - 1810 - 554 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as...taken together less " than two right angles, these straight lines being continually " produced, shall at length meet upon that side on which are " the... | |
| Dugald Stewart - Psychology - 1814 - 560 pages
...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 righl angles, these two straight lines, though indefinitely produced, will never... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that " if a straight line meet two straight " lines, so as to make the interior angles on the same side of it less than " two right angles, these straight lines being continually... | |
| William Nicholson - Natural history - 1821 - 402 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually... | |
| Dugald Stewart - Psychology - 1821 - 348 pages
...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... | |
| William Nicholson - Natural history - 1821 - 406 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...it taken together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...axioms, and that whieh was before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet two "straight lines, so as...it taken together less than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the... | |
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