| 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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