 If two lines are such that they cannot coincide in any two points without coinciding altogether, each of them is called a straight line.  The Train - Seite 2311858Vollansicht - Über dieses Buch
 | John Playfair - 1819 - 354 Seiten
...extremities of a lirie are points ; and the inter" sections of one line with another are also points." HI. " If two lines are such that they cannot coincide in...them is called a straight " line." -' COR. Hence two straight lines cannot inclose a space. Neither can " two straight lines have a common segment ; that... | |
 | John Playfair - 1819 - 350 Seiten
...On this principlp we have given the definition above, If there be two lines which cannot coincide in two points, without coinciding altogether, each of them is called a straight line. i , This definition was otherwise expressed in the two former editions : it was said, that lines are... | |
 | George Lees - 1826 - 276 Seiten
...extremities of a line are points ; and the intersections of one line with another are also points. III. — If two lines are such, that they cannot coincide...them is called a straight line. Cor. — Hence, two straight lines cannot inclose a space. Neither can two straight lines have a common segment ; for they... | |
 | 1827 - 600 Seiten
...making a distinction where there is no difference. His third definition i» geometry is in these terms : "If two lines are such that they cannot coincide in...altogether, each of them is called a straight line." Now, the simple fact is, that the two lines here spoken of, have no existence at all ; for, as M. Dupin... | |
 | Perry Fairfax Nursey - 1827 - 588 Seiten
...making a distinction where there is no difference. His third definition in geometry is in these terms " If two lines are such that they cannot coincide in...altogether, each of them is called a straight line." Now, the simple fact is, that the two lines here spoken of, bave no existence at all; for, as M. Dupin... | |
 | John Radford Young - 1827 - 246 Seiten
...extreme points," ajid in this manner the translation is rendered in the French edition of M. Teyrard. cannot coincide in any two points without coinciding...altogether, each of them is called a straight line." This definition is not the best that can be given, for it contains more than is requisite. A definition... | |
 | John Playfair - 1832 - 358 Seiten
...extremities of a line are points; and the inter"sections of one line with another are also points." III. "If two lines are such that they cannot coincide...them is called a straight "line." "CoR. Hence two straight lines cannoHnclose a space. Neithercan "two straight lines have a common segment; that is,... | |
 | Thomas Perronet Thompson - 1833 - 168 Seiten
...Elements of Geometry, p. 2. will not change their position*. Professor Playfair's description is, that ' if two lines are such that they cannot coincide in...altogether, each of them is called a straight line ;' after which he inserts under the title of a Corollary, that ' hence two straight lines cannot inclose... | |
 | John Radford Young - 1833 - 240 Seiten
...translation is rendered in the French edition of Mr. Peyrard. fair has defined a straight hne as follows : " If two lines are such that they cannot coincide in...altogether, each of them is called a straight line." This definition is not the best that can be given, for it contains more than is requisite. A definition... | |
 | John Radford Young - 1833 - 238 Seiten
...translation is rendered in the French edition of Mr. Peyrard. fair has defined a straight line as follows : "If two lines are such that they cannot coincide in any two points without coinciding al-' together, each of them is called a straight line." This definition is not the best that can be... | |
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