 | Marianne Nops - 1882 - 278 Seiten
...is with these that the sixth postulate deals. It tells us that ' If a straight line meets two other straight lines so as to make the two interior angles...it, taken together less than two right angles, these lines, being continually produced, shall at length meet upon that side on which are the angles which... | |
 | Euclid, Isaac Todhunter - 1883 - 426 Seiten
...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 - 872 Seiten
...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 - 514 Seiten
...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 - 578 Seiten
...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... | |
 | John Michels (Journalist) - 1892 - 448 Seiten
...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 - 176 Seiten
...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 - 214 Seiten
...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 - 146 Seiten
...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 - 434 Seiten
...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... | |
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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... 
