 | Euclides - 1838 - 264 pages
...being produced ever so far both ways, do not meet. V POSTULATES. LET it be granted, that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. Anil that... | |
 | Euclides - 1840 - 194 pages
...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.... | |
 | Charles Bray - Cooperation - 1841 - 326 pages
...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; now... | |
 | Charles Bray - Cooperation - 1841 - 694 pages
...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; now... | |
 | Euclides - Geometry - 1841 - 378 pages
...however far produced either way, do not meet. B 2 POSTULATES. I. Let it be granted, that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. Ill And that... | |
 | 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... | |
 | Euclides - 1842 - 320 pages
...parallel to one another is now called a trapezoid. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. That a circle... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...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
...being produced ever so far both ways, do not meet. POSTULATES. I. Let it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. And that... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
