 | Dugald Stewart - 1854 - 452 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 right angles, these two straight lines, though indefinitely produced, will never... | |
 | Dugald Stewart - 1854 - 454 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 right angles, these two straight lines, though indefinitely produced, will never... | |
 | Euclides - 1855 - 270 pages
...at X. Two straight Unes cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, \ so...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... | |
 | Robert Rawson - 1856 - 178 pages
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as...interior angles on the same side of it taken together lesi than two right angles, these straight lines being continually produced, shall at length meet upon... | |
 | Euclides - 1858 - 248 pages
...must be equal ; and consequently the angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as...the two interior angles on the same side of it taken C ^\ t^JD together less than two right angles, these two straight lines, being continually produced,... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral... | |
 | Eucleides - 1860 - 396 pages
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to two right ^ angles. These straight lines being continually...produced, shall at length meet upon that side on which are the angles which are less than tiro right angles. f They are equidistant. They are parallel to each... | |
 | Euclides - 1861 - 464 pages
...to make the two int. ¿_a on the same side of it taken together less than two rt. ¿s, these two st. lines, being continually produced, shall at length meet upon that side on which the ¿s are less than two rt. ¿_a. Dof. 10, I. When a st. line standing on another st. line makes... | |
 | Euclides - 1862 - 172 pages
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. ' If a straight line meets two straight lines, so as...produced, shall at length meet upon that side on which are the angles which are less than two right angles.' PROP. I. — PROBLEM. To describe an equilateral... | |
 | Euclides - 1862 - 140 pages
...cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. EXPLANATION OF TERMS. 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... 
