| Edward Atkins - 1877 - 72 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. 1.** Tilings which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
| Ebenezer Cobham Brewer - English language - 1877 - 844 pages
...drawn from one point to another. 2. That a straight line may be produced to any required length. 3. **That a circle may be described from any centre, at any distance from that centre.** Lat. pott&UMriiu, jxuKUdfwn, pOtWMn (posco, to demand). Posture, p8»'.tchttr, attitude, position ;... | |
| Euclides - 1877 - 58 pages
...Let it be granted : 1. That a straight line may be drawn from any point to any other point. 2. That a **straight line may be produced to any length in a straight line. 3.** That a circle may be described with any centre, and at any distance from that centre. AXIOMS. 1. Things... | |
| James Maurice Wilson - 1878 - 450 pages
...POSTULATES. Let it be granted that i. 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. It will... | |
| Euclides - 1879 - 146 pages
...afterwards.] 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, at any distance from that centre. AXIOMS. 1. Things... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...its circumference. Postu1ates. 1. Let it be granted that a straight line may be drawn from any point **to any other point; 2. That a terminated straight...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 given line. Axioms. 1. Things... | |
| Moffatt and Paige - 1879 - 426 pages
...do not meet. 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...be produced to any length in a straight line. (3)** That a circle may be described from any centre, at any distance from that centre. AXIOMS. (1) Things... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. **That a terminated straight line may be produced to any length in a straight line. 3.** That a circle may be described from any centre, at any distance from that centre. The Postulates are... | |
| Charles Scott Venable - 1881 - 380 pages
...a supposition made either in the enunciation of a proposition, or in the course of a demonstration. **AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2.** The whole is greater than its part. 3. The whole is equal to the sum of all its parts. 4. From one... | |
| Marianne Nops - 1882 - 278 pages
...first three Euclid asks : — 1. ' That a straight line may be drawn from any one point to any other.' **2. ' That a terminated straight line may be produced to any length in a straight line.' 3.** ' That a circle may be described from any centre at any distance from that centre.' Postulates 4 and... | |
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