 | Euclid, Thomas Tate - 1849 - 120 Seiten
...XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. 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... | |
 | Elias Loomis - 1849 - 252 Seiten
...is contained an exact number of times in each of them. BOOK V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight lin.e may be produced to any length in a straight line. 3. From the greater... | |
 | Henry McMurtrie - 1851 - 272 Seiten
...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... | |
 | Janet Taylor - 1851 - 674 Seiten
...cannot both be parallel to the same straight line. POSTULATES. 1. Let it be granted that a straight line may be drawn 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.... | |
 | Euclides - 1852 - 152 Seiten
...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 Seiten
...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... | |
 | Euclides - 1853 - 176 Seiten
...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 a circle may be described... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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 that a... | |
 | Euclides - 1853 - 146 Seiten
...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... | |
 | William Somerville Orr - 1854 - 534 Seiten
...opposite corners, or vertices, is called a diagonal. POSTULATES. 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 prolonged to any length in a straight line. And that a circle may be described... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
