| Euclid, Isaac Todhunter - 1883 - 400 sider
...cannot enclose 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. PROPOSITION I. PROBLEM.... | |
| Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - 1883
...Euclid, or put Euclid's axiom in a different form. Thus Euclid's axiom is, "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. This axiom is a puzzling... | |
| Moffatt and Paige - 1883
...equal to two right angles (1. 13), therefore the angles BGH, GHD are less than two right angles. But **if a straight line meets two straight lines so as...than two right angles, these straight lines, being** continuallyproduced, shall at length meet on that side on which are the angles that are less than two... | |
| Joseph Hughes - 1883
...interior angles on the same side toeether equal to two right angles. Axiom xii. If a straight line meet **two straight lines so as to make the two interior...on the same side of it taken together less than two** ri^ht angles, these straight lines being continually produced, îhall at length meet on that side on... | |
| 1892
...axiomatic.3 This is the axiom of parallels, which reads as follows : — " If a straight line meet **two straight lines so as to make the two interior...on the same side of it taken together less than two** right-angles, these straight lines, being continually produced, shall at length meet on that side on... | |
| Euclides - 1883 - 96 sider
...Note.— The converse of this proposition, that "if a straight line meeting two other straight lines **make the two interior angles on the same side of it taken together less than two right angles,** the two lines will, if produced tar enough) meet on that Bide on which are the angles less than two... | |
| Euclides - 1884
...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...are the angles which are less than two right angles.** , PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. GIVEN... | |
| Stewart W. and co - 1884
...rhombus is a four-sided figure which has all its sides equal, but its angles are not right angles. 3. **If a straight line meets two straight lines so as...are the angles which are less than two right angles.** Show that the following definitions are incomplete : — " Of quadrilateral figures, a square has all... | |
| 1884
...AB would coincide with EF ; and thus is it proved that all right angles are equal.* Axiom XII. : — **"If a straight line meets two straight lines, so as...meet upon that side on which are the angles which** arc less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates... | |
| Stewart W. and co - 1884
...All right angles are equal to one another. XII. " If a straight line meets two straight lines, •o **as to make the two interior angles on the same side...the angles which are less than two right angles."** PROPOSITION I. To describe an equilateral triangle on a given finite straight line. Let AB be the given... | |
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