 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...shortest distance between any tivo points. POSTULATES. A Postulate is a self-evident possibility: 1. A straight line can be drawn from any one point to any other. 3. A finite straight line can be bisected; that is, divided into two equal parts. 4. An angle 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... | |
 | Stewart W. and co - 1884 - 272 pages
...Specific Subjects. ZEJTJOLIID. [FIBST YEAE.] POSTULATES. I. 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. That a circle may be... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...and its opposite are true, the converse proposition is true. 81. POSTULATES. Let it be granted — 1. That a straight line can be drawn from any one point to any other point. 2. That a straight line can be produced to any distance, or can be terminated at any point. 82. AXIOMS.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...and its opposite are true, the converse proposition is true. 81. POSTULATES. Let it be granted — 1. That a straight line can be drawn from any one point to any other point. 2. That a straight line can be produced to any distance, or can be terminated at any point. 3. That... | |
 | Julius Caesar - Gaul - 1898 - 616 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,... | |
 | 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,... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...are equal. A diameter is the sum of two radii; hence all the diameters are equal. POSTULATES. 7. 1. A straight line can be drawn from any one point to any other point. 2. A straight line can be produced to any length, or can be terminated at any point. 3. A circle can... | |
 | Nehemiah Hawkins - Steam engineering - 1901 - 354 pages
...before it. A Postulate is a problem, the solution of which is self-evident. EXAMPLES OF POSTULATES. Let it be granted — I. That a straight line can...That a straight line can be produced to any distance, 01 terminated at any point; III. That the circumference of a circle can be described about any center,... | |
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POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. 
