| Euclides - 1840 - 192 pages
...straight line joining the opposite angles of a quadrilateral figure is called a DIAGONAL.] POSTULATES. 1. Let it be granted, that a straight line may be drawn from any one point to any other point. 2. That any terminated straight line may be produced or continued to any length in a straight line.... | |
| Euclides - Geometry - 1841 - 378 pages
...are in the same plane, and which, however far produced either way, do not meet. B 2 POSTULATES. I. Let it be granted, that a straight line may be drawn...point. II. That a terminated straight line may be produced to any length in a straight line. Ill And that a circle may be described from any centre,... | |
| Charles Bray - Cooperation - 1841 - 326 pages
...no magnitude." " A line is length without breadth."* " Let it be granted," says the mathematician, " that a straight line may be drawn from any one point to any other point," that is, from that which has no parts and no magnitude, to that which has no parts and no magnitude;... | |
| Charles Bray - Cooperation - 1841 - 694 pages
...no magnitude." " A line is length without breadth."* " Let it be granted," says the mathematician, " that a straight line may be drawn from any one point to any other point," that is, from that which has no parts and no magnitude, to that which has no parts and no magnitude;... | |
| Royal Scottish Society of Arts - Industrial arts - 1887 - 644 pages
...longness of a line, and so the definition conies to be a line is the length of a line ! Pass we to the postulates. Let it be granted that a straight line may be drawn between any two given points ; that a straight line may be continued both ways ; that a circle may... | |
| Euclides - 1842 - 316 pages
...trapezium having two, only, of its sides parallel to one another is now called a trapezoid. POSTULATES. I. LET it be granted that a straight line may be drawn...point. II. That a terminated straight line may be produced to any length in a straight line. III. That a circle may be described from any centre, at... | |
| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...be done, or to be imagined to be done. The postulates given by Euclid are the following : — 1 . Л line may be drawn from any one point to any other point. 2. A line may be produced (that is, continued or lengthened) at pleasure to any length. 3. A circle... | |
| James Bates Thomson - Geometry - 1844 - 268 pages
...problems, while axioms are self-evident theorems. Geometers usually enumerate three postulates. 1. That a straight line may be drawn from any one point, to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. That any circle... | |
| Euclid - Geometry - 1845 - 218 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. Let it be granted that a straight line may be drawn...point. II. That a terminated straight line may be produced to any length in a straight line. III. And that a circle may be described from any centre,... | |
| Euclides - 1845 - 546 pages
...the diameter or the diagonal is the straight line joining two of its opposite angles. POSTULATES. I. LET it be granted that a straight line may be drawn...point. II. That a terminated straight line may be produced to any length in a straight line. III. And that a circle may be described from any centre... | |
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