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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 - Seite 4
von Euclides - 1853 - 147 Seiten
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 Seiten
...are in the same plane, and which, however far produced either way, do not meet. B 2 POSTULATES. I. Let it be granted, that a straight line may be drawn...may be produced to any length in a straight line. Ill And that a circle may be described from any centre, at any distance from that centre. AXIOMS. L...
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The Philosophy of Necessity: Or, The Law of Consequences; as ..., Band 1

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

Charles Bray - 1841 - 663 Seiten
...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;...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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...be produced to any length in a straight line. III. That a circle may be described from any centre, at any distance from that centre. IV. [Ax. XI.] V....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 Seiten
...POSTULATES. 1. LET it be granted that a straight line may be drawA 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 circle may be described from any centre, at any distance from that centre. AXIOMS. 1....
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Chambers's Information for the People, Band 2

William Chambers, Robert Chambers - 1842
...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 - 237 Seiten
...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 Seiten
...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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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...be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If equals...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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...be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If equals...
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