 | Janet Taylor - Nautical astronomy - 1851 - 674 pages
...If two straight lines intersect each other, they cannot both be parallel to the same straight line. POSTULATES. 1. Let it be granted that a straight line...from any one point to any other point. .2. That a straight line may be produced to any length in the same direction. INTRODUCTION. THEOREMS. Theorem... | |
 | Henry McMurtrie - 1851 - 272 pages
...distilled water. POS'TULATE, Geom., Lat., postulare, to demand. Something assumed or taken for granted, as that a straight line may be drawn from any one point to any other point. POTAS'SIUM, Chem., Pot-ashes, so called from the pot or vessel in which they are made. A Metal obtained... | |
 | Euclides - 1852 - 152 pages
...of opposite sides parallel. Fig. 4. Fig. 5. Fiy. 5. has no pair of parallel sides.] 1 POSTULATES. L 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. III. And that... | |
 | Euclides - 1852 - 48 pages
...opposite angles, is called the diagonal or diameter. POSTULATES. 1. Let it be granted that a right line may be drawn from any one point to any other point. 2. That a terminated right line may be produced to any length in a right line. 3. That a circle may be described from any... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...Magnitudes, 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, in a straight line,... | |
 | Euclides - 1853 - 146 pages
...as are in the same 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 that a... | |
 | Euclides - Geometry - 1853 - 176 pages
...are in the same plane, 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 that... | |
 | Euclides - Geometry - 1853 - 334 pages
...other diagonal. BCBCBC This defn., and Bk. ii. Def. i, ha?e superseded Defs. 31, 32, 33. POSTULATES. I. Let it be granted that a straight line may be drawn from any one given point to any other given point. II. Let it be granted that a given terminated straight line may... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...Magnitudes, 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. in a straight line,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...axiom 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.... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
