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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Pagina 6
door Euclid, John Playfair - 1795 - 400 pagina’s
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pagina’s
...however far produced either way, do not meet. B 2 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. Ill And that a circle may be described...
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The Philosophy of Necessity: Or, The Law of Consequences; as ..., Volume 1

Charles Bray - 1841 - 326 pagina’s
...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;...
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The philosophy of necessity, or, The law of consequences: as applicable to ...

Charles Bray - 1841 - 694 pagina’s
...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;...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pagina’s
...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 may be described...
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Chambers's Information for the People, Volume 2

William Chambers, Robert Chambers - 1842 - 938 pagina’s
...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...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 268 pagina’s
...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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pagina’s
...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 a circle may be described...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pagina’s
...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 a circle may be described...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pagina’s
...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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
...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. I. Things which are equal...
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