| Euclides - 1855 - 270 pages
...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... | |
| 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... | |
| Robert Rawson - 1856 - 178 pages
...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... | |
| 1859 - 802 pages
...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,... | |
| Euclides - 1858 - 248 pages
...length in a st. line. P. 3. Prom the greater line to cut off a part equal to the less. Pst. 1. A st. **line may be drawn from any one point to any other point.** DEMONSTRATION. — P. 4. If two triangles have two sides and their included angle of one triangle equal... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...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 - Geometry, Plane - 1860 - 380 pages
...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... | |
| Euclides - 1860 - 288 pages
...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... | |
| James McCosh - History - 1860 - 512 pages
...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... | |
| Euclides - 1861 - 464 pages
...PROP. 1. — PROK. To find the centre of a given circle. SOL. — Pst. 1. Let it be granted that a st. **line may be drawn from any one point to any other point.** 10, I. To bisect a given finite st. line. 11, I. To draw a st. line at rt.¿s to a given st. line from... | |
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