 | Euclides - 1884 - 182 Seiten
...called 'Postulates,' which is 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... | |
 | Mathematical association - 1884 - 146 Seiten
...straight line parallel to a given straight line. POSTULATES OF CONSTRUCTION. 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... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 Seiten
...This Convention is embodied in the following POSTULATES OF CONSTRUCTION. 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... | |
 | Stephen Thomas Hawtrey - 1884 - 184 Seiten
...asks to be allowed to do (from postidare, to ask). He says, Let it be granted, Postulate 1.—That a straight line may be drawn from any one point to any other point: Postulate 2.—That a terminated straight line may be produced to any length in a straight line: Postulate... | |
 | Euclides - 1884 - 214 Seiten
...Postulate 3. A circle may be described from any centre, and at auy distance from that centre. Postulate 1. A straight line may be drawn from any one point to any other. Definition 15. A circle is a plane figure contained by one line, which is called the circumference,... | |
 | W. J. C. Miller - 1885 - 154 Seiten
...that it " lies evenly between its extreme points "; but in Postulate ii. he says, " Let it be granted, that a terminated straight line may be produced to any length in a straight line," and this gives us the idea of an infinite straight line. But do we require more than two infinite straight... | |
 | Euclides - 1885 - 340 Seiten
...less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be drawn from any one point to any other point. "When we consider a straight line contained between two fixed points which are its ends, such a portion... | |
 | Euclid, John Casey - 1885 - 340 Seiten
...less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be drawn from any one point to any other point. When we consider a straight line contained between two fixed points which are its ends, such a portion... | |
 | George Bruce Halsted - 1885 - 389 Seiten
...straight angles are equal to one another. IV. The Assumed Constructions. 100. Let it be granted that a line may be drawn from any one point to any other point. 101. Let it be granted that a sect or a terminated line may be produced indefinitely in a line. 102.... | |
 | George Bruce Halsted - 1886 - 394 Seiten
...center and radius.) Join a point C, at which the circles cut one another, to the points Aandfi. (.100. A line may be drawn from any one point to any other point.) Then will ABC be an equilateral triangle. PROOF. Because A is the center of O BCD, .-. AB = AC, being... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
