| Mathematical association - 1884
...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
...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
...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
...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
...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
...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 - 312 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
...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 - 366 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... | |
| H. Freeman Wood - 1888 - 398 Seiten
...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... | |
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