| 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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