 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...and which, being produced ever so far both ways, do not meet. 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...and which, being produced ever so far both ways, do not meet. POSTULATES. L Let it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. And... | |
 | Euclides - 1853 - 146 pages
...plane, and which, being produced ever so far both ways, do not meet. POSTULATES. 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... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...should be a self-evident, but at the same time an indemonstrable truth. Euclid asks us to "grant that a straight line may be drawn from any one point to any other," from sheer necessity ; the apparent simplicity of the operation is in reality a cause of its difliculty.... | |
 | Euclides - 1855 - 270 pages
...that the 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.... | |
 | Robert Rawson - 1856 - 178 pages
...and which 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... | |
 | 1859 - 802 pages
...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... | |
 | 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... | |
 | 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
| |
LET it be granted that a straight line may be drawn from any one point to any other point. 
