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. A Text-book of Geometry - Page 15by George Albert Wentworth - 1888 - 386 pagesFull view - About this book
| Euclides - 1883 - 176 pages
...angles of a polygon not consecutive. 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 may be produced to any length in a straight line. 3. That a circle may be... | |
| Richard Anthony Proctor - Astronomy - 1884 - 422 pages
...line. Indeed, his first two postulates practically involve this axiom. Let it be granted, he says, **that a straight line can be drawn from any one point to any other point,** and that a straight line so drawn can be produced to any distance in the same straight line. Here manifestly... | |
| American periodicals - 1884 - 864 pages
...a line. Indeed his first two postulates practically involve this axiom. Let it be granted, he says, **that a straight line can be drawn from any one point to any other point,** and that a straight line so drawn can be produced to any distance in the same straight line. Here manifestly... | |
| Euclides - 1884 - 434 pages
...I.] DEFINITIONS, POSTULATES, AXIOMS. 11 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 may be produced to any length either way. 3. That a circle may be described... | |
| Euclides - 1884 - 182 pages
...from a Latin word postulo, I demand. 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 may be produced to any length in a straight line. 3. And that a circle may... | |
| George Albert Wentworth - Geometry - 1885 - 424 pages
...whole is greater than any of its parts. 9. The whole is equal to all its parts taken together. 47. **POSTULATES. Let it be granted — 1. That a straight...point to any other point. 2. That a straight line can** bo produced to any distance, or can be terminated at any point. 3. That the circumference of a circle... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...joining two of its opposite angles. POSTULATES.1 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 may be produced to any length in a straight line. 3. And that a Circle may... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...converse of the typical theorem in (42). POSTULATES. 45. Let it be granted — 1. That a straight lino may **be drawn from any one point to any other point. 2. That a** terminated straight line may be produced to any distance in a straight line. 3. That a circle may be... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...A is equal to B. (Converse.) 78. The opposite of a proposition is formed by stating the negative of **its hypothesis and its conclusion. Thus, If A is equal...to any distance, or can be terminated at any point.** 3. That a circumference may be described about any point as a centre with a radius of given length.... | |
| Julius Caesar - 1898 - 614 pages
...the next place Caesar tells us that the hill he captured was ' e regione oppidi ' (36, § 5). Now as **a straight line can be drawn from any one point to any other,** this description could not be employed intelligibly by Caesar except in reference to some third point,... | |
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