 | George Roberts Perkins - Geometry - 1860 - 472 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... | |
 | Euclides - 1862 - 172 pages
...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 may be produced to any length in a straight line. III. AXIOMS.... | |
 | Euclides - 1863 - 122 pages
..."" POSTULATES. '1. That a terminated straight line may be produced to any length in a straight line. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1.... | |
 | Euclides - 1864 - 448 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. II. That a terminated straight line may be produced to any length in a straight line. m. And that a... | |
 | Euclides - 1865 - 80 pages
...join two points is a concise expression for drawing a straight line from the one of them to the other. POSTULATES. 1. Let it be granted that a straight line...drawn from any one point to any other point. 2. That a straight line may be produced in a straight line to any required length. 3. That a circle may be described... | |
 | Robert Potts - 1865 - 528 pages
...and a diameter, or a diagonal is a straight linn 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. m. And that a... | |
 | Euclides - 1865 - 402 pages
...as are in the same plane, and which being prodnced 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. IL That a terminated straight line may be prodnced to any length in a straight line. HI. And that a... | |
 | Walter Marsham Adams - 1866 - 114 pages
...drawing straight lines or circles, and we can only assume the power. " Let it be granted," says Euclid, " that a straight line may be drawn from any one point to any other point," and " that a circle may be described," &c. As it is impossible to learn to swim without going into... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...assumed, or taken for granted. Euclid lias constructed his Elements on the three following postulates: 1. That a straight line may be drawn from any one point...to any other point. 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle may be described from any centre... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
