 | Stephen Thomas Hawtrey - 1884 - 184 pages
...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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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... | |
 | Euclides - 1884 - 214 pages
...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,... | |
 | Euclides - 1885 - 340 pages
...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 is... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...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 is... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...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 - Geometry - 1886 - 394 pages
...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... | |
 | H. Freeman Wood - Police - 1888 - 412 pages
...point A a straight line equal to BC. From the point A to B draw the straight line AB. Postulate 1 says that a straight line may be drawn from any one point to any other point ; so that I at once go on to describe upon it the equilateral triangle DAB., producing the straight... | |
 | Charles Bray - Cooperation - 1889 - 434 pages
...point is that which hath no parts, or which hath no magnitude." " A line is length without breadth." " Let it be granted that a straight line may be drawn from any one point to any other point," that is, from that which has no parts and no magnitude, to that which has no parts and no magnitude... | |
 | James McCosh - Metaphysics - 1889 - 390 pages
...definitions and in the propositions founded on them, such as the following, 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... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
