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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Instructions Given in the Drawing School Established by the Dublin Society ... - Pàgina 8
per Joseph Fenn - 1769
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The philosophy of necessity, or, The law of consequences: as applicable to ...

Charles Bray - 1841 - 694 pàgines
...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 ..., Volum 1

Charles Bray - 1841 - 326 pàgines
...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 pàgines
...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...
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Chambers's Information for the People, Volum 2

William Chambers, Robert Chambers - 1842 - 938 pàgines
...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 pàgines
...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 pàgines
...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pàgines
...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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pàgines
...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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pàgines
...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....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pàgines
...being produced ever so far both ways, do not meet. POSTULATESLet it be granted, i. That a straight line may be drawn from any one point to any other point : n. That a terminated straight line may be produced to any length in a straight line : in. That a...
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