| Mathematics - 1835
...of paper for a plane, •with a pen,* a ruler, and a pair of compasses, it is evident, that, first, **a straight line may be drawn from any one point to any other point** ; 2ndly, a terminated straight line may be produced to any length in a straight line ; 3dly, from the... | |
| Euclid - Geometry - 1837 - 410 pages
...supplementary. So also are two angles which are together equal to two right angles. POSTULATES.* 1. **Let it be granted, that a straight line may be drawn from any one point, to any other point** :.). writers rather improperly use urcb) and chord receive their names from the bow (in Latin arcvs),... | |
| John Playfair - Geometry - 1837 - 332 pages
...are in the same plane, and which, 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 - Euclid's Elements - 1837 - 240 pages
...are in the same 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... | |
| Robert Simson - Geometry - 1838 - 434 pages
...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 may be produced to any length in at straight line. III. And that... | |
| Euclides - 1838 - 264 pages
...are in the same 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 - 194 pages
...straight line joining the 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.... | |
| Euclides - 1841 - 378 pages
...lines are such as are in the same plane, and which, however far produced either way, do not meet. B 2 **POSTULATES. I. Let it be granted, that a straight...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... | |
| 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;... | |
| 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;... | |
| |