| Euclid, Thomas Tate - 1849 - 120 páginas
...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 side...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 páginas
...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...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... | |
| Euclides - 1852 - 152 páginas
...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...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 páginas
...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 side...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 - 176 páginas
...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...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... | |
| Royal Military Academy, Woolwich - 1853 - 400 páginas
...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 side...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 - 146 páginas
...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 side...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 páginas
...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 páginas
...cannot. »^^F/ — 1 5- jf" * 3. — To BK. I. PEOP. A. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it together less than two right angles : then these two straight lines, being continually produced, shall... | |
| William Somerville Orr - 1854 - 534 páginas
...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 side...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... | |
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