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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 4
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The elements of plane geometry, Τόμος 1

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...

The Elements of Plane Geometry ...

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...

An introduction to the Elements of Euclid, being a familiar explanation of ...

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...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

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,...

Mathematical Questions and Solutions, from the "Educational Times ..., Τόμος 42

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...

The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

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...

The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 σελίδες
...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...

The Elements of Geometry

George Bruce Halsted - 1885 - 366 σελίδες
...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....

The Elements of Geometry

George Bruce Halsted - 1886 - 394 σελίδες
...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...

The Passenger from Scotland Yard

H. Freeman Wood - 1888 - 398 σελίδες
...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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