| John Playfair - 1837 - 332 Seiten
...being produced ever so far both ways, do not meet. POSTULATES. 1. LET it be granted 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. And that a... | |
| Andrew Bell - 1837 - 290 Seiten
...being produced eyer i so far both ways, do not meet. POSTULATES. 1. Let it be granted that a straight- **line may be drawn from any one point to any other point.** 3. And that a circle may be described from any centre, and with any radius. AXIOMS. 1. Things which... | |
| Euclides - 1838 - 264 Seiten
...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 a circle may be described... | |
| Robert Simson - 1838 - 434 Seiten
...XXXV. Parallel straight lines, are such as 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 from any one point to any other point. II. That a terminated straight line... | |
| Euclides - 1840 - 194 Seiten
...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 - 1841 - 378 Seiten
...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 a circle may be described... | |
| Charles Bray - 1841 - 326 Seiten
...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 Seiten
...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 - 320 Seiten
...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 may be described... | |
| William Chambers, Robert Chambers - 1842 - 938 Seiten
...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... | |
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