 | Barzillai Quaife - 1873 - 260 pages
...capable of being infinitely and eternally extended. 4. It is a Postulate of Geometry, that a given straight line may be produced to any length in a straight line ; which is the same thing as saying, that a straight line may be infinitely and eternally produced.... | |
 | Edward Atkins - 1874 - 424 pages
...called trapeziums. 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...centre. Axioms. 1. Things which are equal to the same thing are equal to one another. 3. If equals be taken from equals the remainders are equal. 4. If equals... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...— sin. 2A 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. 3. And that a circle may be described from any center, and with any radius. 4. That no part of the circumference of a circle is straight. 5. That... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...degrees. 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...may be produced to any length in a straight line. 3. That a circle may be described from any centre, with a radius equal to any finite straight line. AXIOMS.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...taken for granted : That a straight line may be drawn from any one point to any other point; And also that a terminated straight line may be produced to any length in a straight line. A superficies has length and breadth but not thickness. The extremities of superficies are lines. A... | |
 | James McCosh - Intuition - 1874 - 484 pages
...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 a circle, that is, a plane figure such that all straight lines drawn... | |
 | Edward Atkins - 1876 - 130 pages
...called trapeziums. 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...centre, at any distance from that centre. Axioms. lual to the 2. If equals be added to equals the wholes are equal. 1. Tilings which are equal to the... | |
 | Richard Wormell - 1876 - 268 pages
...POSTULATES. Let it be granted that 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. A circle may be described from any centre, with a radius equal to any finite straight line. THEOREMS... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...POSTULATES. Let it be granted that 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. A circle may be described from any centre, with a radius equal to any finite straight line. SECTION... | |
 | Robert Potts - Geometry, Plane - 1876 - 446 pages
...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 » straight line. in. And that a circle may be described from any center, at any distance from that... | |
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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... 
