 | James McCosh - 1860 - 512 Seiten
...definitions and in the propositions founded on them, such as the following, put in the form of maxims:—" A straight line may be drawn from any one point to any other point;" "A straight line may be produced to any length in a straight line;" "There may be such a figure as... | |
 | George Roberts Perkins - 1860 - 472 Seiten
...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 Seiten
...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 - 140 Seiten
...straight lin« joining two of its opposite angles. All other four-sided figures are caOed trapeziums. POSTULATES. 1. Let it be granted that a straight line...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. AXIOMS. 1. Things which... | |
 | Euclides - 1862 - 172 Seiten
...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 - 74 Seiten
...in the same straight line are necessary to fix the position of a plane." — Pott's Euclid, p. 44. POSTULATES. 1. Let it be granted, that a straight...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 circle may... | |
 | Euclides - 1863 - 122 Seiten
..."" 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 Seiten
...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 - 402 Seiten
...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... | |
 | Robert Potts - 1865 - 528 Seiten
...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... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
