 | Euclides - Geometry - 1853 - 176 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. L 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 - 1853 - 146 pages
...as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted 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. And that a... | |
 | Euclides - Geometry - 1853 - 334 pages
...other diagonal. BCBCBC This defn., and Bk. ii. Def. i, ha?e superseded Defs. 31, 32, 33. POSTULATES. I. Let it be granted that a straight line may be drawn from any one given point to any other given point. II. Let it be granted that a given terminated straight line may... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...axiom should be a self-evident, but at the same time an indemonstrable truth. Euclid asks us to "grant that a straight line may be drawn from any one point to any other," from sheer necessity ; the apparent simplicity of the operation is in reality a cause of its difliculty.... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...being applied the one to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged. in a straight line,... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...are in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. \ . 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 circle... | |
 | Euclides - 1855 - 270 pages
...this йейпШьп is, that the space between the lines is always of the same breadth. POSTULATES. i Let it be granted, that a straight line may be drawn from any one point to any other point. When a straight line is drawn from one point to another point, the points are said to be joined. The... | |
 | John Playfair - Geometry - 1855 - 334 pages
...as 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 pomt to any other point. 2. That a terminated straight line may be produced to any length in a straight... | |
 | Robert Rawson - 1856 - 178 pages
...as arc in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. r Let it be granted, 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. And that a circle... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...XIV. Straight lines which are parallel to the same line are parallel to each other. POSTULATES. I. Let it be granted that a straight line may be drawn from any point to any other point. II. That a terminated straight line may be produced, in either direction,... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
