 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...only the parts into which it is divided by a diameter, that are called semicircles. POSTULATES* 1. Let it be granted, that a straight line may be drawn from any one point, to any other point : f 2. That a terminated straight line may be produced to any length in a straight line : , 3. That... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...such as are in the ! plane, and which being produced ever so i both ways, do not meet. POSTULATES. I. Let it be granted, that a straight line may be drawn...point. II. That a terminated straight line may be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...point. II. That a terminated straight line may be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...are in the same plane, 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 that a... | |
 | Euclides - 1846 - 292 pages
...same plane, and, being produced ever so far both ways, do not meet. POSTULATESLet it be granted, i. 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. That a... | |
 | Henry McMurtrie - Encyclopedias and dictionaries - 1847 - 268 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 - 1847 - 128 pages
...plane; and which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted, 1. 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 : and 3. That... | |
 | Euclides - 1848 - 52 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...point. II. That a terminated straight line may be produced to any length in a straight line. HI. And that a circle may be described from any centre at... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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...point. II. That a terminated straight line may be produced to any length in a straight line. m. And that a circle may be described from any centre, at... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...line which 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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
