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LET it be granted that a straight line may be drawn from any one point to any other point.
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 5
των Euclides - 1863
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## The Philosophy of Necessity: Or, The Law of Consequences; as ..., Τόμος 1

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...no magnitude." " A line is length without breadth."* " Let it be granted," says the mathematician, " 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;...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

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...trapezium having two, only, of its sides parallel to one another is now called a trapezoid. 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...

## Chambers's Information for the People, Τόμος 2

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...be done, or to be imagined to be done. The postulates given by Euclid are the following : — 1 . Л line may be drawn from any one point to any other point. 2. A line may be produced (that is, continued or lengthened) at pleasure to any length. 3. A circle...

## Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

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...problems, while axioms are self-evident theorems. Geometers usually enumerate three postulates. 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. That any circle...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

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...is only the parts into which it is divided by a diameter, that are called semicircles. POSTULATES* 1. Let it be granted, that a straight line may be drawn from any one point, to any other point : f 2. That a terminated straight line may be produced to any length in a straight line : , 3. That...

## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

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...are in the same plane, and which, being produced ever so far both ways, do not meet. 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. And that...

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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...the diameter or the diagonal is the straight line joining two of its opposite angles. 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. And that...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. 1. LET it be granted 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...

## The Elements of Geometry, Symbolically Arranged

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...such as are in the ! plane, and which being produced ever so i both ways, do not meet. 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. AXIOMS....

## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 130 σελίδες
...are in the same plane, and which being produced ever so far both ways, do not meet. 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. AXIOMS....