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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 Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 5
av Robert Simson - 1762 - 466 sider
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 237 sider
...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
...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 - 199 sider
...XXXV. Parallel straight lines, are such as 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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...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
...trapeziums. XXXV. Parallel straight lines are such as 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...trapeziums. XXXV. Parallel straight lines are 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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...being produced ever so far both ways, do not meet. POSTULATES. Let it be granted, 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 : and 3. That...
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Lexicon Scientiarum: A Dictionary of Terms Used in the Various Branches of ...

Henry McMurtrie - 1847 - 246 sider
...POS'TULATE, Geom., Lat., postulare, to demand. Something assumed or taken for granted, as that a straight line may be drawn from any one point to any other point. POTAS'SIUM, Chem., Pot-ashes, so called from the pot or vessel in which they are made. A Metal obtained...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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. HI. And that a circle may be described...
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