| 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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