| Peter Nicholson - Cabinetwork - 1856 - 482 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... | |
| 1859 - 802 pages
...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 - Geometry - 1857 - 442 pages
...which 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,... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...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 of... | |
| Euclides - 1858 - 248 pages
...between the same parallels, the parallelogram shall be double of the triangle. CONSTRUCTION. — Pst. 1. A straight line may be drawn from any one point to any other point. DEMONSTRATION. — P. 37. Triangles upon the same base and between the same parallels, are equal to... | |
| Euclides - 1860 - 288 pages
...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 a circle... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
| James McCosh - History - 1860 - 512 pages
...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 - Geometry - 1860 - 474 pages
...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,... | |
| 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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