 | Great Britain. Admiralty - 1846 - 128 pagina’s
...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...meet upon that side on which are the angles which are less than two right angles. A proposition is something either proposed to be done, or to be demonstrated,... | |
 | Euclides - 1846 - 292 pagina’s
...angles BGH, GHD, are less than two right angles : But if a straight line falls upon two straight lines, so as to make the two interior angles on the same side of it together less than two right angles, these straight lines, being produced, shall meet (Ax. 12) ; therefore... | |
 | Euclides - 1847 - 128 pagina’s
...angles are equal to one another. (See Definition 10.) 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. An Axiom is a self-evident truth, and is so called from its being worthy... | |
 | Euclides - 1848 - 52 pagina’s
...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...meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROP. I. PROBLEM. To describe an equilateral triangle upon... | |
 | Euclid, Thomas Tate - 1849 - 120 pagina’s
...space. XI. All right angles are equal to one another. XIL " 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 given... | |
 | John Playfair - 1849 - 332 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...shall at length meet upon that side on which are the angle* " which are less than two right angles." Instead of this proposition, which, though true, is... | |
 | Henry Longueville Mansel - 1851 - 350 pagina’s
...principles, " two straight lines cannot enclose a space," or, " if a straight line meets two straight lines, so as to make the two interior angles on the same side together less than two right angles, the two straight lines will meet if produced." As a matter of... | |
 | Euclides - 1852 - 152 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...meet upon that side on which are the angles which are less than two right angles." [These are truths which no person can possibly doubt, who are others besides... | |
 | Euclides - 1852 - 48 pagina’s
...space. 11. All right angles are equal to one another. 12. If a right line meet two other right lines, so as to make the two interior angles on the same...it taken together less than two right angles, these two right lines being continually induced, shall at length meet on that side on which are the angles,... | |
 | Euclides - 1853 - 146 pagina’s
...space. 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...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... | |
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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... 
