 Your geometry states it as an axiom that a straight line is the shortest way from one point to another: and astronomy shows you that God has given motion only in curves.  Euclid and His Modern Rivals - Page 143by Lewis Carroll - 1885 - 275 pagesFull view - About this book
 | James Hayward - Geometry - 1829 - 228 pages
...its identity of direction in every part. The definition given in several elementary books, namely, that a straight line is the shortest way from one point to another', is a proposition which carries to the mind the fullest conviction of its truth ; and whether a simple... | |
 | Timothy Walker - Geometry - 1829 - 156 pages
...move only in one single direction till it reaches B, the line AB is a straight line. • 4. AXIOM. — A straight line is the shortest way from one point to another. By axiom is meant a proposition the truth of which is self-evident without reasoning. The above is... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...art. 15, have the same direction, and must consequently coincide in the same straight line. 18. Axiom. A straight line is the shortest way from one point to another. CHAPTER IV. THE ANGLE. 19. Definitions. An Angle is the difference of direction of two straight lines... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...straight line cannot coincide with a curved line ; they can only have one or more points in common. 97. A straight line is the shortest way from one point to another ; every curved line between the same points is longer than the straight line. The more nearly the curved... | |
 | Benjamin Peirce - Geometry - 1847 - 204 pages
...§j 15, have the same direction, and must consequently coincide in the same straight line. 18. Axiom. A straight line is the shortest way from one point to another. CHAPTER IV. THE ANGLE. 19. Definitions. An Angle is formed by two lines meeting or crossing each other.... | |
 | Frank Boott Goodrich - France - 1855 - 416 pages
...ivory tusks. " If we are to believe certain geometricians, perhaps a little rash in their assertions, a straight line is the shortest way from one point to another. " All that glitters is not gold. " Mr. Friquart, aged thirty-eight, and a cobbler by trade, desires... | |
 | Samuel Griswold Goodrich - Paris (France) - 1856 - 402 pages
...ivory tusks. "If we are to believe certain geometricians, perhaps a little rash in their assertions, a straight line is the shortest way from one point to another. " All that glitters is not gold. " Mr. Friquart, aged thirty-eight, and a cobbler by trade, desires... | |
 | John Price - Natural history - 1863 - 742 pages
...add, — Of course; because at each end the line comes to — nothing. To the 4th some have added, — "A straight line is the shortest way from one point to another." I think it might be called the distance between two points. (?) 6th, — Of course; because every surface... | |
 | Honoré de Balzac, George Frederic Parsons - 1889 - 384 pages
...is here ! ' " Let us pass from pure, unmingled Number to corporate Number. Your geometry establishes that a straight line is the shortest way from one point to another, but your astronomy proves that God has proceeded by curves. Here, then, we find two truths equally... | |
 | Honoré de Balzac - 1897 - 360 pages
...! " ' From abstract number we will pass on to number as applied to solids. Your geometry states it as an axiom that a straight line is the shortest way from one point to another ; and astronomy shows you that God has given motion only in curves. Here, then, in the same science,... | |
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