| Euclides - 1852
...to inclose 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...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles." [These are truths which... | |
| Euclides - 1852
...inclose a 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...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
...part. x. Two straight lines cannot inclose a space. All right angles are equal to one another. XII. " **If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles." PROPOSITION I. — PROBLEM.... | |
| Euclides - 1853 - 147 sider
...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...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles. PROPOSITION I. — PROBLEM.... | |
| Royal Military Academy, Woolwich - 1853
...cannot enclose a 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...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROPOSITION... | |
| Euclides - 1853
...parallel to FG; but both 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
...is the twelfth axiom, and is thus expressed in Euclid : — AXIOM XII. — If a straight line meets **two straight lines, so as to make the two interior...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
...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 right angles, these two straight lines, though indefinitely produced, will never... | |
| Dugald Stewart - 1854
...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 right angles, these two straight lines, though indefinitely produced, will never... | |
| Euclides - 1855
...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...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... | |
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