 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...plane, and which, 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 pages
...plane, and which, 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 - 192 pages
...opposite angles 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. • 3.... | |
 | Charles Bray - Cooperation - 1841 - 326 pages
...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 - Cooperation - 1841 - 694 pages
...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 - Geometry - 1841 - 378 pages
...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 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... | |
 | Euclides - 1842 - 316 pages
...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 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... | |
 | 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 may... | |
 | Euclid - Geometry - 1845 - 218 pages
...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 may be produced to any length in a straight line. III. And that... | |
 | Euclides - 1845 - 546 pages
...diagonal is the 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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
