 | Euclides - 1841 - 378 σελίδες
...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...may be produced to any length in a straight line. Ill And that a circle may be described from any centre, at any distance from that centre. AXIOMS. L... | |
 | Charles Bray - 1841 - 326 σελίδες
...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 - 1841 - 694 σελίδες
...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;... | |
 | Euclides - 1842 - 316 σελίδες
...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...be produced to any length in a straight line. III. That a circle may be described from any centre, at any distance from that centre. IV. [Ax. XI.] V.... | |
 | John Playfair - 1842 - 332 σελίδες
...POSTULATES. 1. LET it be granted that a straight line may be drawA 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. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1.... | |
 | William Chambers, Robert Chambers - 1842 - 938 σελίδες
...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 - 1844 - 268 σελίδες
...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, James Thomson - 1845 - 382 σελίδες
...only the parts into which it is divided by a diameter, that are called semicircles. POSTULATES* 1. Let it be granted, that a straight line may be drawn from any one point, to any other point : f 2. That a terminated straight line may be produced to any length in a straight line : , 3. That... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...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...be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If equals... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...such as are in the ! plane, and which being produced ever so i both ways, do not meet. POSTULATES. I. Let it be granted, that a straight line may be drawn...be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If equals... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
