| H. Freeman Wood - Police - 1888 - 412 pages
...B, at the distance BC, I describe the circle CGH, meeting DF at G, inasmuch as postulate 3 declares **that a circle may be described from any centre, at any distance from that centre. I** next, from the centre D, at the distance DG, describe the circle GKL, meeting DE at L. Now it follows... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 that centre.** 1 ie Elementary Problems whose construction it is to be taken for granted we can effect. AXIOMS.1 1.... | |
| Nineteenth century - 1891 - 1150 pages
...must presuppose the admission of certain postulates on the part of both dramatist and audience. If **that a circle may be described from any centre, at any distance from that centre,** is matter of opinion, we can prove no mathematical proposition ; and, without some appropriate conceded... | |
| Euclid - Geometry - 1892 - 460 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. It is important to... | |
| 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 - 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
...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... | |
| David Graham - Common sense - 1908 - 410 pages
...other 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... | |
| American Mathematical Society - Mathematics - 1896 - 420 pages
...granted, that a straight line may be drawn from any one point to any other point," " let it be granted, **that a circle may be described from any centre, at any distance from that centre,"** these indicate the limitations of elementary geometry as understood by the Greeks, limitations recognized... | |
| |