 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...space. 11. All 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...meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROPOSITION I. PROBLEM. To describe an equilateral triangle... | |
 | Euclides - 1853 - 176 pagina’s
...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...meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. — PROBLEM. To describe an equilateral triangle upon a... | |
 | Euclid - 1853 - 176 pagina’s
...make the two internal angles on the same side together less than two right angles. {These '' stralgnt lines being continually produced, shall at length...meet upon that side on which are the angles which are less than tw .right angles. If two straight lines are parallel. t They are equidistant. I.30 If two... | |
 | Euclides - 1853 - 334 pagina’s
...space. XI. All right angles are equal to one another. XII. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it, when taken together, less than two right angles, then those two straight lines, being continually produced,... | |
 | William Somerville Orr - 1854 - 534 pagina’s
...axiom, and is thus expressed in Euclid : — AXIOM XII. — If a straight line meets two straight lines, so as to make the two interior angles, on the same...than two right angles, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are less than two right... | |
 | Dugald Stewart - 1854 - 454 pagina’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 produced, will never... | |
 | Dugald Stewart - 1854 - 452 pagina’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 produced, will never... | |
 | Euclides - 1855 - 270 pagina’s
...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...being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted... | |
 | John Playfair - 1855 - 334 pagina’s
...among the Axioms. The 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 " which are less than two right angles." Instead of this proposition, which, though true, is by no... | |
 | John Playfair - 1856 - 346 pagina’s
...among the Axioms. The 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...' produced, shall at length meet upon that side on w^^^ <»•« the angle* " which are less than two right angles." Instead of this proposition, which,... | |
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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... 
