 | John Playfair - 1855 - 334 σελίδες
...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 σελίδες
...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...may be produced to any length in a straight line. And that a circle may be described from any1 centre, at ar distance from that centre. AXIOMS. L Things... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...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 - 1856 - 518 σελίδες
...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 σελίδες
...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 - 1857 - 442 σελίδες
...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,... | |
 | Euclides - 1858 - 248 σελίδες
...straight line are necessary to fix the position of a plane." — Pott's Euclid, p. 44. 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... | |
 | Elias Loomis - 1858 - 256 σελίδες
...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... | |
 | Robert Potts - 1860 - 380 σελίδες
...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...may be produced to any length in a straight line. in. And that a circle may be described from any center, at any distance from that center. X AXIOMS.... | |
 | Euclides - 1860 - 288 σελίδες
...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 circle may be described from any centre, and with any radius. 1. Things which are equal... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
