| GEORGE R. PERKINS - 1856
...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 - 216 Seiten
...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
...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 - 432 Seiten
...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
...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 - 234 Seiten
...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... | |
| Euclides - 1860
...line joining two of the opposite angular pomts of a quadrilateral is called a diagonal. 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... | |
| Robert Potts - 1860 - 361 Seiten
...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... | |
| Rev. James Mcosh - 1860
...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... | |
| George Roberts Perkins - 1860 - 443 Seiten
...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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