 | Euclides - 1853 - 176 pages
...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 from any centre, at any distance from that centre. AXIOMS.... | |
 | William Somerville Orr - Science - 1854 - 532 pages
...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 from any centre, at any distance from that centre. Things which are equal to the same thing are equal to one another. If equals be added to equals, the... | |
 | Euclides - 1855 - 262 pages
...another point, the points are said to be joined. The points are understood to be in the samo plane. II. That a terminated straight line may be produced to any length in a straight line. By terminated here, is meant of a definite length ; 'and by produced is meant lengthened or extended... | |
 | Robert Rawson - 1856 - 200 pages
...POSTULATES. r 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. And that a circle may be described from any1 centre, at ar distance from that centre. AXIOMS. L Things... | |
 | Peter Nicholson - Cabinetwork - 1856 - 482 pages
...other point : 2dly, That a line may be produced, that is, continued or lengthened at pleasure : 3dly, That a circle may be described from any centre, at any distance therefrom, or with any radius. THEOREM S. THEOREM 1. 48. If one right line, as CD, touch or cut another... | |
 | Euclides - 1858 - 248 pages
...Euclid, p. 44. 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...from any centre at any distance from that centre. The first and second Postulates concede the use of a ruler, but not of a scale ; the third, that of... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...V. PROS LEM.S. Postulates. 1. A straight line may be drawn from any one point to Any other point. 2. .A terminated straight line may be produced to any length in a straight line. 3. From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference... | |
 | Euclides - 1860 - 288 pages
...called a diagonal. 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...And that a circle may be described from any centre, and with any radius. 1. Things which are equal to the same thing are equal to one another. 2. If equals... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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. in. And that a circle may be described from any center, at any distance from that center. X AXIOMS.... | |
 | James McCosh - History - 1860 - 512 pages
...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 a circle, that is, a plane figure such that all straight lines drawn... | |
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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 circle may be described from any centre, at any distance from... 
