 | 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... | |
 | Euclides - 1845 - 546 pages
...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 - Geometry - 1845 - 218 pages
...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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...trapeziums. 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...trapeziums. XXXV. Parallel straight lines are such as are in the ! plane, and which being produced ever so i 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 - 1846 - 292 pages
...being produced ever so far both ways, do not meet. POSTULATESLet it be granted, i. That a straight line may be drawn from any one point to any other point : n. That a terminated straight line may be produced to any length in a straight line : in. That a... | |
 | Euclides - 1847 - 128 pages
...being produced ever so far both ways, do not meet. POSTULATES. Let it be granted, 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 : and 3. That... | |
 | Henry McMurtrie - Encyclopedias and dictionaries - 1847 - 268 pages
...POS'TULATE, Geom., Lat., postulare, to demand. Something assumed or taken for granted, as that a straight line may be drawn from any one point to any other point. POTAS'SIUM, Chem., Pot-ashes, so called from the pot or vessel in which they are made. A Metal obtained... | |
 | Euclides - 1848 - 52 pages
...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. HI. And that a circle may be described... | |
| |
Let it be granted that a straight line may be drawn from any one point to any other point. 
