 | 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
...lines are such 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,... | |
 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...POSTULATE signifies something which may be assumed as granted. Hence it may be granted, 1st, That a right line may be drawn from any one point to any other point : 2dly, That a line may be produced, that is, continued or lengthened at pleasure : 3dly, That a circle... | |
 | 1859 - 802 pages
...in his hand, before commencing his artistic and scientific achievements upon the black-board, says': "Let it be granted that a straight line may be drawn from any one point to any other point," I invariably answer, " Of course, — by all manner of means," — although you know, dear Don, that,... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...Magnitudes, which 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, iu a straight line,... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...line which is contained an exact number of times in each of thsm. BOOK V. PROS LEM.S. Postulates. 1. A straight line may be drawn from any one point to Any other point. 2. .A terminated straight line may be produced to any length in a straight line. 3. From the greater of... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the diameter, or the 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. n. That a terminated straight line may be produced to any length in a straight line. in. And that a... | |
 | James McCosh - History - 1860 - 512 pages
...definitions and in the propositions founded on them, such as the following, put in the form of maxims:—" A straight line may be drawn from any one point to any other point;" "A straight line may be produced to any length in a straight line;" "There may be such a figure as... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
