 | Shadworth Hollway Hodgson - Experience - 1898 - 420 pages
...and also, by means of the plane, of parallel straight lines, in which use is made of the postulate " that a terminated straight line may be produced to any length in a straight line," that is, of the conception of infinity. The idea, that the direction of a straight line is not altered... | |
 | Electronic journals - 1898 - 614 pages
...circles ' respectively. In the following, eg : — ' Two straight lines cannot enclose a space ' ; ' A circle may be described from any centre at any distance from that centre ' ; ' Hull lies due north of London,' the matter becomes more doubtful. Is our assertion, eg, about... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...that is to say a terminated, straight line may be produced to any length in that straight line. 3. That a circle may be described from any centre, at any distance from that centre, that is, with a radius equal to any finite straight line drawn from the centre. NOTES ON THE POSTULATES.... | |
 | Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...finite, that is to say a terminated, straight line may be produced to any length in a straight line. 3. That a circle may be described from any centre, at any distance from that centre. A XIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...tltat is to say a terminated, straight line may be produced to any length in that straight line. 3. That a circle may be described from any centre, at any distance from that centre, that is, with a radius equal to any finite straight line drawn from the centre. NOTES ON THE POSTULATES.... | |
 | David Graham - Common sense - 1908 - 410 pages
...admittance to their society on anti-Common-Sense principles ! straight line may be drawn from any one point to any other point; (2) that a terminated straight...be produced to any length in a straight line ; (3) that a circle may be described from any centre at any distance from that centre,—we must at the same... | |
 | David Graham - Common sense - 1908 - 408 pages
...point ; (2) that a terminated straight line may be produced to any length in a straight line ; (3) that a circle may be described from any centre at any distance from that centre, — we must at the same time grant that space is necessarily illimitable. If these postulates be not... | |
 | Encyclopedias and dictionaries - 1918 - 540 pages
...three following 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...may be produced to any length in a straight line. 3. That a circle may be described from any center nt any distance from that center. Pntamnp-ptivn (pot-a-moj'e-ton),... | |
 | Kongelige Danske videnskabernes selskab - Philosophy - 1920 - 558 pages
...first say: Let it be granted that a straight line may be drawn from any one point to any other point, that a terminated straight line may be produced to any length in a straight line, and that a circle may be described from any centre and with any radius. The fifth proposition is that... | |
 | Thomas Edward Finegan - Encyclopedias and dictionaries - 1922 - 666 pages
...three following 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...may be produced to any length in a straight line. 3. That a circle may be described from any center at any distance from that center. Potamogetón (Pot... | |
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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, at any distance from... 
