| Euclides - 1841
...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
...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, Mary Hennell - 1841
...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
...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
...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 - عدد الصفحات: 237
...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... | |
| Robert Potts - 1845
...straight line joining two of its opposite angles. 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 a circle may be described... | |
| Euclid - 1845 - عدد الصفحات: 199
...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 a circle may be described... | |
| James Thomson - 1845 - عدد الصفحات: 358
...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... | |
| 1846
...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. AXIOMS. I. Things which are equal... | |
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